The Islamic university - Gaza Faculty of Engineering Civil Engineering Department CHAPTER (6) Mat Foundation. Instructor : Dr.

Size: px
Start display at page:

Download "The Islamic university - Gaza Faculty of Engineering Civil Engineering Department CHAPTER (6) Mat Foundation. Instructor : Dr."

Transcription

1 The Islamic university - Gaza Faculty of Engineering Civil Engineering Department CHAPTER (6) Mat Foundation Instructor : Dr. Jehad Hamad

2 Introduction Under normal conditions, square andrectangularfootings such as those described in Chapters 3 and 4 are economical for supporting columns and walls. However, under certain circumstances, it may be desirable to construct a footing that supports a line of two or more columns. These footings are referred to as combined footings. When more than one line of columns is supported by a concrete slab, it is called amat foundation. Combined footings can be classified generallyunderthe following categories:::: orectangular Footings. otrapezoidal Footings. ocantilever or Strap Footings

3 A combined footing is usually used to support two columns of unequal loads. In such acase, the resultant of the applied loads would not coincide with the centroid of the footing, and the consequent the soil pressure would not be uniform. Another case where acombined footingis an efficient foundation solution is when there are two interior columns which are so close to each other that the twoisolated footings stress zonesin the soilareas would overlap. The area of the combined footing may be proportioned for a uniform settlement by making its centroid coincide with the resultant of the column loads supportedbythe footing.

4 There are many instances when the load to be carried by acolumn and the soil bearing capacity are such that the standard spread footing design will require an extension of the column foundation beyond the property line. In such acase, two or more columns can be supported on asingle rectangular foundation. If the net allowable soil pressure is known,the size of the foundation BxLcan bedetermined.

5 This photo shows an example of combined footings used in a heavy industrial plant, where the machinery loads place very large loads upon relatively confinedspace. The use of combined footings helps spread out the loads out to the adjacent footings in order to minimize stresses in the footings and reduce the differential settlement between them.

6 A third case:: of a useful application of acombined footing is if one (or several) columns are placedright at thepropertyline. The footings for those columns can not be centered around the columns,the consequent eccentric load would generate a large momentinthe footing. By tying the exterior footing to an interior footing through a continuous footing, the moment can be substantially reduced,andamoreefficient design is attained.

7 Rectangular Combined Footing:::::

8 Geometric design of rectangular combined footing:

9 Rectangular Combined Footing.

10 Rectangular Combined Footings. Step #1. The required design area A of a footing can be found from, where Q1, Q2 are the loads in columns #1 and #2, and q all (net) is the net allowable soil bearing capacity. Step #2. Determine the location of the resultant of the column loads. Step #3. For a uniform distribution of soil pressure under the footing, the resultant of the column loads should pass through the centroidof the foundation. Thus, where L = length of the foundation

11 Step #4.Once the length L is determined from above, the value of L1 can be obtainedfrom, The magnitude of L2 will be known and depends on the location of the property line. The width B is then found from,

12 Trapezoidal Combined Footing

13 Trapezoidal Combined Footing: This type of combined footing, is sometimes used as an isolated spread foundationfor acolumnthatis requiredtocarryalarge load inatight space. The size of the trapezoidal footing that will generate auniform pressure on the soilcanbefound throughthe followingprocedure. Step #1. If the net allowable soil pressure is known, determine the area of the footing, Step #2. Determine the location of the resultant for the column loads,

14 From the property of a trapezoid, With known values of A, L, X, and L2,solve Eqs. to obtain B1 and B2 Note that, for a trapezoid,

15

16 Cantilever footing- Strap beam

17 A strap footing is used to connect an eccentrically loaded column footing to an interiorcolumn. The strap is used to transmit the moment caused from an eccentricity to the interior column footing so that auniform soil pressure is generated beneath bothfootings. The strap footing may be used instead of arectangular or trapezoidal combined footing if the distance between columns is large and /or the allowable soil pressureis relatively large so thatthe additionalfootingareais notneeded.

18

19

20 Grade Beams and Strap Footings: Their purpose is to redistribute Excesses stresses, and possible differential settlements between adjacent spreadfootings.

21 Example1) Find the Dimensions of the combined footing for the columns A and B that spaced 6.0m center to center, column A is 40cm x 40cm carrying dead loads of 50tons and 30tons live load and column B is 40cm x 40cm carrying 70tons dead load and 50 tons live loads.

22 Solution 1-Find the required area: 2-Find the resultant force location (Xr): 3-To ensure uniform soil pressure, the resultant force (R) should be in the center of rectangular footing:

23

24 Example2) Find the Dimensions of the trapezoidal combined footing for the columns Aand B that spaced 4.0m centerto center,columnais 40cm x40cm carryingdead loads of 80tonsand 40tonslive load and column Bis 30cm x30cm carrying 50tonsdead load and 25 tonslive loads.

25 Solution 1-Find the required area: 2-Determine the resultant force

26 3-Put the resultant force location at the centroidof trapezoid to achieve uniform soil pressure. The censored equation is:

27 o For uniform soil pressure:

28 Example 3) Design astrap footing to support two columns, that spaced 4.0m center to center exteriorcolumnis 80cm x80cm carrying 1500 KN and interiorcolumnis 80cmx80cm carrying 2500KN.

29 1-Find the resultant force location: 2-Assume the length of any foot, let we assume L1=2m.

30 3-Find the distance a:

31 4-Find the resultant of each soil pressure: 5-Find the required area for each foot:

32 Example (4): Design a rectangular combined footing, given that f c = 3.5 ksi, fy = 50 ksi, qall = 5 ksf with a SF = 3, Df = 5 feet, the edge of column #1 is at the property line, and the spacing between columns is 18 feet center-to-center (c.c.).

33 Solution: Step 1: Determine the ultimate column loads and the soil stress at ultimate loads qult. Step 2: Determine the footing dimensions L and B.

34 Step 3: Draw the shear (V) and moment (M) diagrams. The column loads are treated as concentrated loads acting at the centers of the columns.

35 Step 4: Design the strap.

36 Example (5): Design a strap-footing for the following conditions, f c = 3.5 ksi, fy = 60 ksi, and qa = 2.5 ksf for both the footing and the strap, with a FS=4. The edge of column 1 is placed at the property line, and the center of the columns are 25 feet center-to-center (c.c.).

37 Types of Shallow Foundations 1. Spread Footings 2. Combined Footings 3. Continuous Footing 4. Mat Foundations

38 Mat Foundations:

39 Geometric and structural design of Mat foundation: & Geometric design (Working loads):

40

41 Common Types of Mat Foundations.

42 Bearing capacity of Mat Foundations:

43 The net allowable bearing capacity for mats constructed over granular soil deposits can be adequately determined from the standard penetration resistance numbers. From Eq. (5.64), for shallow foundations When the width B is large, the preceding equation can be approximated as

44 The following Assuming Fd = 1.0, we can approximate eq 6.12 and 6.13 as The net allowable pressure applied on a foundation

45 Compensated Foundation The net average applied pressure on soil is For no increase in the net pressure on soil below a mat foundation, q should be zero. Thus, This relation for Df is usually referred to as the depth of afully compensated foundation. The factor of safety against bearing capacity failure for partially compensated foundations (Df,Q>Ag)

46 For saturated clays, the factor of safety against bearing capacity failure

47 Conventional Rigid Method The conventional rigid method of mat foundation design can be explained step by step::: Step 1. Figure 6.10a shows mat dimensions B,L of and column loads of Q Calculate the total column load as Step 2. Determine the pressure on the soil, q, below the mat at points A,B,C,..by using the equation

48 The load eccentricities, ex and ey in the x and y directions can be determined by using (x,y ) coordinates:

49 Step 3. Compare the values of the soil pressures determined in Step 2 with the net allowable soil pressure to determine whether q < qall(net) Step 4. Divide the mat into several strips in the x and y directions. (See Figure 6.10). Let the width of any strip be B1 Step 5. Draw the shear,v,andthe moment,m,diagrams for each individual strip (inthexandydirections). For example,theaverage soilpressure of the bottom stripinthexdirectionoffigure 6.10a is

50 Now, the modified average soil reaction becomes and the column load modification factor is Step 6. Determine the effective depth d of the mat by checking for diagonal tension shear near various columns.

51 Example (6): For the shown mat foundation: * Check the adequacy of the foundation dimensions. * Calculate the modified soil pressure under the strip ABCD which is 2m width. * Draw SFD and BMD for the strip.

52

53 Checkthe adequacyof thefoundationdimensions. 1-Find the centerof gravity of mat footing: The distances are taken from (x-y) axes shown in the figure. 2-Find the resultant force R: 3-Find the location of the resultant force:

54 4-Find the eccentricities: 5-Find M Y and M X : 6-Find the stresses:

55 X,Y: Distances from the point to the center of gravity Calculate the modified soil pressure under the strip ABCD which is 2m width. * Locate the points E and F at the middle of strip edges. * Find the stresses at E and F and be careful that we use ultimate loads:

56 * Find the average stress:

57 We have to make adjustment for the loads as follow: Find the modified column loads: Multiply each column load by Find the modified soil pressure: Draw SFD and BMD.

58 Approximate Flexible Method In the conventional rigid method of design, the mat is assumed to be infinitely rigid. Also, the soil pressure is distributed in astraight line, and the centroid of the soil pressure is coincident with the line of action of the resultant column loads. (See Figure 6.11a.) In the approximate flexible method ofdesign, the soil is assumed to be equivalent to an infinite number of elastic springs, as shown in Figure 6.11b. This assumption is sometimes referred to as the Winkler foundation. The elastic constant of these assumed springs is referred to as the coefficient of subgrade reaction,k. To understand the fundamental concepts behind flexible foundation design, consider abeam ofwidthhavinginfinite length, asshown in Figure 6.11c. The beam is subjected to asingle concentrated load Q. From the fundamentals of mechanicsof materials,

59

60

61 where and are constants and

62 If a foundation of width B (see Figure) is subjected to a load per unit area of q, it will undergo a settlement,the coefficient of subgrade modulus can be defined as

63 Foundations on Sandy Soils: For foundations on sandy soils, Foundations on Clays For foundations on clays, For rectangular foundations having dimensions of B,L (for similar soil and q),

64 For long beams,vesic (1961) proposed an equation for estimating subgrade reaction,namely, For most practical purposes, Eq. (6.46) can be approximated as

65

11 CHAPTER 11: FOOTINGS

11 CHAPTER 11: FOOTINGS CHAPTER ELEVEN FOOTINGS 1 11 CHAPTER 11: FOOTINGS 11.1 Footing Types Footings may be classified as deep or shallow. If depth of the footing is equal to or greater than its width, it is called deep footing,

More information

Module 5 (Lectures 17 to 19) MAT FOUNDATIONS

Module 5 (Lectures 17 to 19) MAT FOUNDATIONS Module 5 (Lectures 17 to 19) MAT FOUNDATIONS Topics 17.1 INTRODUCTION Rectangular Combined Footing: Trapezoidal Combined Footings: Cantilever Footing: Mat foundation: 17.2 COMMON TYPES OF MAT FOUNDATIONS

More information

CE-632 Foundation Analysis and Design

CE-632 Foundation Analysis and Design CE-63 Foundation Analysis and Design Shallow Foundations 1 SUMMARY of Terminology Gross Loading Intensity Total pressure at the level of foundation including the weight of superstructure, foundation, and

More information

Design and Detailing of steel in Combined Footings. Dr. M.C. NATARAJA

Design and Detailing of steel in Combined Footings. Dr. M.C. NATARAJA Design and Detailing of steel in Combined Footings Dr. M.C. NATARAJA Summary Sheet Session Number : Date : Subject Expert : 8 14.05.2007- Dr. M.C. Nataraja Professor Department of Civil Engineering, Sri

More information

SHALLOW FOUNDATION III: COMBINED FOOTINGS AND MAT FOUNDATIONS

SHALLOW FOUNDATION III: COMBINED FOOTINGS AND MAT FOUNDATIONS CHAPTER 14 SHALLOW FOUNDATION III: COMBINED FOOTINGS AND MAT FOUNDATIONS 14.1 INTRODUCTION Chapter 12 has considered the common methods of transmitting loads to subsoil through spread footings carrying

More information

TYPES OF FOUNDATIONS

TYPES OF FOUNDATIONS TYPES OF FOUNDATIONS 1 Foundation Systems Shallow Foundation Deep Foundation Pile Foundation Pier (Caisson) Foundation Isolated spread footings Wall footings Combined footings Cantilever or strap footings

More information

Module 4 : Design of Shallow Foundations. Lecture 16 : Introduction [ Section16.1 : Introduction ] Objectives

Module 4 : Design of Shallow Foundations. Lecture 16 : Introduction [ Section16.1 : Introduction ] Objectives Lecture 16 : Introduction [ Section16.1 : Introduction ] Objectives In this section you will learn the following Introduction Different types of footings Lecture 16 : Introduction [ Section16.1 : Introduction

More information

ENCE 4610 Foundation Analysis and Design Shallow Foundations: Overview Terzaghi s Method of Bearing Capacity Estimation

ENCE 4610 Foundation Analysis and Design Shallow Foundations: Overview Terzaghi s Method of Bearing Capacity Estimation ENCE 4610 Foundation Analysis and Design Shallow Foundations: Overview Terzaghi s Method of Bearing Capacity Estimation Types of Shallow Foundations Shallow foundations are usually placed within a depth

More information

Mat Foundations. 6.1 Introduction. 6.2 Combined Footings

Mat Foundations. 6.1 Introduction. 6.2 Combined Footings 6 Mat Foundations 6.1 Introduction Under normal conditions, square and rectangular footings such as those described in Chapters 3 and 4 are economical for supporting columns and walls. However, under certain

More information

CE-6502 FOUNDATION ENGINEERING UNIT 1 SITE INVESTIGATION AND SELECTION OF FOUNDATION PART A 1. List the various methods of soil exploration techniques. 2. What is the scope of soil investigation? 3. What

More information

ENCE 4610 Foundation Analysis and Design. Combined Footings and Mat Foundations

ENCE 4610 Foundation Analysis and Design. Combined Footings and Mat Foundations ENCE 4610 Foundation Analysis and Design Combined Footings and Mat Foundations Mat Foundations A mat is continuous in two directions capable of supporting multiple columns, wall or floor loads. It has

More information

METHODS FOR ACHIEVEMENT UNIFORM STRESSES DISTRIBUTION UNDER THE FOUNDATION

METHODS FOR ACHIEVEMENT UNIFORM STRESSES DISTRIBUTION UNDER THE FOUNDATION International Journal of Civil Engineering and Technology (IJCIET) Volume 7, Issue 2, March-April 2016, pp. 45-66, Article ID: IJCIET_07_02_004 Available online at http://www.iaeme.com/ijciet/issues.asp?jtype=ijciet&vtype=7&itype=2

More information

Investigation of strip footings under column loads

Investigation of strip footings under column loads Investigation of strip footings under column loads Group: Greg Deacon, John Brogan, David McDonnell and Richard Delaney Course: Structural Engineering (Dt024/4) Lecturers: Dr. Colin Caprani, Lacour Ayompe

More information

twenty six concrete construction: foundation design ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SPRING 2014

twenty six concrete construction: foundation design ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SPRING 2014 ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SPRING 2014 lecture twenty six concrete construction: www.tamu.edu foundation design Foundations 1 Foundation the engineered

More information

twenty seven concrete construction: foundation design ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN HÜDAVERDİ TOZAN SPRING 2013 lecture

twenty seven concrete construction: foundation design ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN HÜDAVERDİ TOZAN SPRING 2013 lecture ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN HÜDAVERDİ TOZAN SPRING 2013 lecture twenty seven concrete construction: Bright Football Complex www.tamu.edu foundation design Foundations 1 Foundation

More information

GEOTECHNICAL ENGINEERING FORMULAS. A handy reference for use in geotechnical analysis and design

GEOTECHNICAL ENGINEERING FORMULAS. A handy reference for use in geotechnical analysis and design GEOTECHNICAL ENGINEERING FORMULAS A handy reference for use in geotechnical analysis and design TABLE OF CONTENTS Page 1. SOIL CLASSIFICATION...3 1.1 USCS: Unified Soil Classification System...3 1.1.1

More information

The Islamic University of Gaza Department of Civil Engineering. Design of Rectangular Concrete Tanks

The Islamic University of Gaza Department of Civil Engineering. Design of Rectangular Concrete Tanks The Islamic University of Gaza Department of Civil Engineering Design of Rectangular Concrete Tanks RECTANGULAR TANK DESIGN The cylindrical shape is structurally best suited for tank construction, but

More information

twenty six concrete construction: foundation design Foundation Structural vs. Foundation Design Structural vs. Foundation Design

twenty six concrete construction: foundation design Foundation Structural vs. Foundation Design Structural vs. Foundation Design ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SRING 2014 lecture twenty six Foundation the engineered interface between the earth and the structure it supports that

More information

twenty six concrete construction: foundation design Foundation Structural vs. Foundation Design Structural vs. Foundation Design

twenty six concrete construction: foundation design Foundation Structural vs. Foundation Design Structural vs. Foundation Design ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SRING 2013 lecture twenty six Foundation the engineered interface between the earth and the structure it supports that

More information

Design of Reinforced Concrete Structures Prof. N. Dhang Department of Civil Engineering Indian Institute of Technology Kharagpur

Design of Reinforced Concrete Structures Prof. N. Dhang Department of Civil Engineering Indian Institute of Technology Kharagpur Design of Reinforced Concrete Structures Prof. N. Dhang Department of Civil Engineering Indian Institute of Technology Kharagpur Lecture - 24 Design of Footings Part I Well so far done up to design of

More information

Module 11. Foundations - Theory and Design. Version 2 CE IIT, Kharagpur

Module 11. Foundations - Theory and Design. Version 2 CE IIT, Kharagpur Module 11 Foundations - Theory and Design Lesson 29 Design of Foundations Instructional Objectives: At the end of this lesson, the student should be able to: understand and apply the design considerations

More information

Moment capacity of shallow foundations on clay under fixed vertical load

Moment capacity of shallow foundations on clay under fixed vertical load Moment capacity of shallow foundations on clay under fixed vertical load R.S. Salimath & M.J. Pender Department of Civil and Environmental Engineering, University of Auckland, Auckland. 2014 NZSEE Conference

More information

CE6502 Foundation Engineering Question Bank

CE6502 Foundation Engineering Question Bank DEPARTMENT: CIVIL SUBJECT CODE: CE6502 QUESTION BANK SEMESTER: V SUBJECT NAME: FOUNDATION ENGINEERING UNIT 1- SITE INVESTIGATION AND SELECTION OF FOUNDATION PART A (2 Marks) 1. List the various methods

More information

Given informations about construction on foundation plan:

Given informations about construction on foundation plan: FOUNDATIONS Foundations are structure members having different types of design that carry and transmit the dead, live and earthquake loads of structure. Foundation plans are drawn with 1/50 or 1/100 scale

More information

Analysis of Underground Water Tank

Analysis of Underground Water Tank Analysis of Underground Water Tank Using SAP2000 (Metric Units) Analysis of Underground Water Tank Using SAP2000 Table of Content Objective... 3 Problem... 3 Step by Step... 6 1. Start Model with Template...

More information

SECTION 5 ANALYSIS OF CONTINUOUS SPANS DEVELOPED BY THE PTI EDC-130 EDUCATION COMMITTEE LEAD AUTHOR: BRYAN ALLRED

SECTION 5 ANALYSIS OF CONTINUOUS SPANS DEVELOPED BY THE PTI EDC-130 EDUCATION COMMITTEE LEAD AUTHOR: BRYAN ALLRED SECTION 5 ANALYSIS OF CONTINUOUS SPANS DEVELOPED BY THE PTI EDC-130 EDUCATION COMMITTEE LEAD AUTHOR: BRYAN ALLRED NOTE: MOMENT DIAGRAM CONVENTION In PT design, it is preferable to draw moment diagrams

More information

SLAB DESIGN. Introduction ACI318 Code provides two design procedures for slab systems:

SLAB DESIGN. Introduction ACI318 Code provides two design procedures for slab systems: Reading Assignment SLAB DESIGN Chapter 9 of Text and, Chapter 13 of ACI318-02 Introduction ACI318 Code provides two design procedures for slab systems: 13.6.1 Direct Design Method (DDM) For slab systems

More information

CHAPTER 1 INTRODUCTION TO FOUNDATIONS

CHAPTER 1 INTRODUCTION TO FOUNDATIONS CHAPTER 1 INTRODUCTION TO FOUNDATIONS The soil beneath structures responsible for carrying the loads is the FOUNDATION. The general misconception is that the structural element which transmits the load

More information

The Design of Reinforced Concrete Slabs

The Design of Reinforced Concrete Slabs EGN-5439 The Design of Tall Buildings Lecture #14 The Design of Reinforced Concrete Slabs Via the Direct Method as per ACI 318-05 L. A. Prieto-Portar - 2008 Reinforced concrete floor systems provide an

More information

Rigid pavement design

Rigid pavement design Chapter 29 Rigid pavement design 29.1 Overview As the name implies, rigid pavements are rigid i.e, they do not flex much under loading like flexible pavements. They are constructed using cement concrete.

More information

REINFORCED CONCRETE. Reinforced Concrete Design. A Fundamental Approach - Fifth Edition. Walls are generally used to provide lateral support for:

REINFORCED CONCRETE. Reinforced Concrete Design. A Fundamental Approach - Fifth Edition. Walls are generally used to provide lateral support for: HANDOUT REINFORCED CONCRETE Reinforced Concrete Design A Fundamental Approach - Fifth Edition RETAINING WALLS Fifth Edition A. J. Clark School of Engineering Department of Civil and Environmental Engineering

More information

KINGS COLLEGE OF ENGINEERING DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK. UNIT I STRESS STRAIN DEFORMATION OF SOLIDS PART- A (2 Marks)

KINGS COLLEGE OF ENGINEERING DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK. UNIT I STRESS STRAIN DEFORMATION OF SOLIDS PART- A (2 Marks) KINGS COLLEGE OF ENGINEERING DEPARTMENT OF MECHANICAL ENGINEERING QUESTION BANK SUB CODE/NAME: CE1259 STRENGTH OF MATERIALS YEAR/SEM: II / IV 1. What is Hooke s Law? 2. What are the Elastic Constants?

More information

DESIGN OF SLABS. 3) Based on support or boundary condition: Simply supported, Cantilever slab,

DESIGN OF SLABS. 3) Based on support or boundary condition: Simply supported, Cantilever slab, DESIGN OF SLABS Dr. G. P. Chandradhara Professor of Civil Engineering S. J. College of Engineering Mysore 1. GENERAL A slab is a flat two dimensional planar structural element having thickness small compared

More information

CH. 6 SOILS & FOUNDATIONS

CH. 6 SOILS & FOUNDATIONS CH. 6 SOILS & FOUNDATIONS SOIL PROPERTIES Classified into four groups - Sands & gravels - Clays - Silts - Organics Subsurface Exploration Core borings: undisturbed samples of soil - Recovered bore samples

More information

MECHANICS OF SOLIDS - BEAMS TUTORIAL 2 SHEAR FORCE AND BENDING MOMENTS IN BEAMS

MECHANICS OF SOLIDS - BEAMS TUTORIAL 2 SHEAR FORCE AND BENDING MOMENTS IN BEAMS MECHANICS OF SOLIDS - BEAMS TUTORIAL 2 SHEAR FORCE AND BENDING MOMENTS IN BEAMS This is the second tutorial on bending of beams. You should judge your progress by completing the self assessment exercises.

More information

FOUNDATION DESIGN. Instructional Materials Complementing FEMA 451, Design Examples

FOUNDATION DESIGN. Instructional Materials Complementing FEMA 451, Design Examples FOUNDATION DESIGN Proportioning elements for: Transfer of seismic forces Strength and stiffness Shallow and deep foundations Elastic and plastic analysis Foundation Design 14-1 Load Path and Transfer to

More information

Seismic Design of Shallow Foundations

Seismic Design of Shallow Foundations Shallow Foundations Page 1 Seismic Design of Shallow Foundations Reading Assignment Lecture Notes Other Materials Ch. 9 FHWA manual Foundations_vibrations.pdf Homework Assignment 10 1. The factored forces

More information

CONVENTIONAL CONSTRUCTION PROVISIONS OF THE 2009 IRC

CONVENTIONAL CONSTRUCTION PROVISIONS OF THE 2009 IRC General Construction Provisions Footings General General. R403.1 All exterior walls shall be supported on continuous solid or fully grouted masonry or concrete footings, crushed stone footings, wood foundations,

More information

Please purchase PDFcamp Printer on to remove this watermark.

Please purchase PDFcamp Printer on  to remove this watermark. CHAPTER Four DESIGN OF SHALLOW FOUNDATIONS Table of contents Page No. 4.1. General.... 55 4.1.1. General Requirements of Foundations 55 4.1.2. Foundation Classifications... 57 4.1.3. Shear in Footings...

More information

Type of Force 1 Axial (tension / compression) Shear. 3 Bending 4 Torsion 5 Images 6 Symbol (+ -)

Type of Force 1 Axial (tension / compression) Shear. 3 Bending 4 Torsion 5 Images 6 Symbol (+ -) Cause: external force P Force vs. Stress Effect: internal stress f 05 Force vs. Stress Copyright G G Schierle, 2001-05 press Esc to end, for next, for previous slide 1 Type of Force 1 Axial (tension /

More information

ENGINEERING SCIENCE H1 OUTCOME 1 - TUTORIAL 3 BENDING MOMENTS EDEXCEL HNC/D ENGINEERING SCIENCE LEVEL 4 H1 FORMERLY UNIT 21718P

ENGINEERING SCIENCE H1 OUTCOME 1 - TUTORIAL 3 BENDING MOMENTS EDEXCEL HNC/D ENGINEERING SCIENCE LEVEL 4 H1 FORMERLY UNIT 21718P ENGINEERING SCIENCE H1 OUTCOME 1 - TUTORIAL 3 BENDING MOMENTS EDEXCEL HNC/D ENGINEERING SCIENCE LEVEL 4 H1 FORMERLY UNIT 21718P This material is duplicated in the Mechanical Principles module H2 and those

More information

DESIGN OF SLABS. Department of Structures and Materials Engineering Faculty of Civil and Environmental Engineering University Tun Hussein Onn Malaysia

DESIGN OF SLABS. Department of Structures and Materials Engineering Faculty of Civil and Environmental Engineering University Tun Hussein Onn Malaysia DESIGN OF SLABS Department of Structures and Materials Engineering Faculty of Civil and Environmental Engineering University Tun Hussein Onn Malaysia Introduction Types of Slab Slabs are plate elements

More information

Introduction to Spread Footings and Mat Foundations

Introduction to Spread Footings and Mat Foundations Introduction to Spread Footings and Mat Foundations Course No: G02-008 Credit: 2 PDH J. Paul Guyer, P.E., R.A., Fellow ASCE, Fellow AEI Continuing Education and Development, Inc. 9 Greyridge Farm Court

More information

See page (ii) for the appropriate use of this publication. Connection Design Manual for LiteSteel beam NOVEMBER PART 4 Flexible Connections

See page (ii) for the appropriate use of this publication. Connection Design Manual for LiteSteel beam NOVEMBER PART 4 Flexible Connections Part 6 BASE PLATES Section 6.1 General 6-2 6.2 Design Method 6-3 6.2.1 Design Model 6-3 6.2.2 Axial Compression in Column 6-3 6.2.3 Axial Tension in Column 6-3 6.2.4 Shear 6-3 6.2.5 Combined Actions 6-3

More information

HOW TO DESIGN CONCRETE STRUCTURES Foundations

HOW TO DESIGN CONCRETE STRUCTURES Foundations HOW TO DESIGN CONCRETE STRUCTURES Foundations Instructions for the Members of BIBM, CEMBUREAU, EFCA and ERMCO: It is the responsibility of the Members (national associations) of BIBM, CEMBUREAU, EFCA and

More information

Common Retaining Walls

Common Retaining Walls Page 1 Common Back Fill Back Fill Stem Toe Heel Gravity or Semi-gravity Retaining wall Toe Footing Cantilever Retaining wall Heel Back Fill Back Fill Buttress Stem Stem Counterfort Toe Footing Heel Toe

More information

Bearing Capacity. Reading Assignment Salgado Ch. 10 Lecture Notes. Other Materials None. Homework Assignment 9

Bearing Capacity. Reading Assignment Salgado Ch. 10 Lecture Notes. Other Materials None. Homework Assignment 9 Ch. 10 - Bearing Capacity Page 1 Bearing Capacity Reading Assignment Salgado 10.1-10.6 Ch. 10 Lecture Notes Other Materials None Homework Assignment 9 1. Develop a spreadsheet program to calculate q ult

More information

Finite Element Analysis of Elastic Settlement of Spreadfootings Founded in Soil

Finite Element Analysis of Elastic Settlement of Spreadfootings Founded in Soil Finite Element Analysis of Elastic Settlement of Spreadfootings Founded in Soil Jae H. Chung, Ph.D. Bid Bridge Software Institute t University of Florida, Gainesville, FL, USA Content 1. Background 2.

More information

Footings 16-1 INTRODUCTION 16-2 SOIL PRESSUREUNDER FOOTINGS

Footings 16-1 INTRODUCTION 16-2 SOIL PRESSUREUNDER FOOTINGS 16 Footings 16-1 INTRODUCTION Footings and other foundation units transfer the loads from the structure to the so'~ supporting the structure. Because the soil is genera1ly much weaker than the ~ columns

More information

8.2 Continuous Beams (Part I)

8.2 Continuous Beams (Part I) 8.2 Continuous Beams (Part I) This section covers the following topics. Analysis Incorporation of Moment due to Reactions Pressure Line due to Prestressing Force Introduction Beams are made continuous

More information

q a = the allowable bearing capacity q ult = the ultimate bearing capacity FS = the factor of safety against bearing capacity failure

q a = the allowable bearing capacity q ult = the ultimate bearing capacity FS = the factor of safety against bearing capacity failure Bearing Caacity There is a limit to the amount of weight that a soil can carry due to alied loads without failing. That failure limit is known as a soil s ultimate bearing caacity. Foundations are not

More information

Two Way Slab. Problem Statement:

Two Way Slab. Problem Statement: Two Way Slab Problem Statement: Use the ACI 318 Direct Design Method to design an interior bay of a flat plate slab system of multi bay building. The Dimensions of an interior bay are shown in Figure 1.

More information

The following sketches show the plans of the two cases of one-way slabs. The spanning direction in each case is shown by the double headed arrow.

The following sketches show the plans of the two cases of one-way slabs. The spanning direction in each case is shown by the double headed arrow. 9.2 One-way Slabs This section covers the following topics. Introduction Analysis and Design 9.2.1 Introduction Slabs are an important structural component where prestressing is applied. With increase

More information

Statics of Structural Supports

Statics of Structural Supports Statics of Structural Supports TYPES OF FORCES External Forces actions of other bodies on the structure under consideration. Internal Forces forces and couples exerted on a member or portion of the structure

More information

Introduction to Bearing Capacity Analysis

Introduction to Bearing Capacity Analysis Introduction to Bearing Capacity Analysis Course No: G02-004 Credit: 2 PDH J. Paul Guyer, P.E., R.A., Fellow ASCE, Fellow AEI Continuing Education and Development, Inc. 9 Greyridge Farm Court Stony Point,

More information

A COMPARATIVE STUDY FOR DIMENSIONING OF FOOTINGS WITH RESPECT TO THE CONTACT SURFACE ON SOIL. Arnulfo Luévanos Rojas

A COMPARATIVE STUDY FOR DIMENSIONING OF FOOTINGS WITH RESPECT TO THE CONTACT SURFACE ON SOIL. Arnulfo Luévanos Rojas International Journal of Innovative Computing, Information and Control ICIC International c 014 ISSN 1349-4198 Volume 10, Number 4, August 014 pp. 1313 136 A COMPARATIVE STUDY FOR DIMENSIONING OF FOOTINGS

More information

Module 6 : Design of Retaining Structures. Lecture 28 : Anchored sheet pile walls [ Section 28.1 : Introduction ]

Module 6 : Design of Retaining Structures. Lecture 28 : Anchored sheet pile walls [ Section 28.1 : Introduction ] Lecture 28 : Anchored sheet pile walls [ Section 28.1 : Introduction ] Objectives In this section you will learn the following Introduction Lecture 28 : Anchored sheet pile walls [ Section 28.1 : Introduction

More information

Cost Effectiveness of Several Types of Foundation

Cost Effectiveness of Several Types of Foundation Cost Effectiveness of Several Types of Foundation Dinesh S.Patil 1, Prof.Anil S.Chander 2 PG Student, Dept. Of Civil Engg. S.N.D.College Of Engineering & Research Center, Yevola., MH, India 1 Assistant

More information

Module 7 (Lecture 24 to 28) RETAINING WALLS

Module 7 (Lecture 24 to 28) RETAINING WALLS Module 7 (Lecture 24 to 28) RETAINING WALLS Topics 24.1 INTRODUCTION 24.2 GRAVITY AND CANTILEVER WALLS 24.3 PROPORTIONING RETAINING WALLS 24.4 APPLICATION OF LATERAL EARTH PRESSURE THEORIES TO DESIGN 24.5

More information

Statics of Structural Supports

Statics of Structural Supports Statics of Structural Supports TYPES OF FORCES External Forces actions of other bodies on the structure under consideration. Internal Forces forces and couples exerted on a member or portion of the structure

More information

Designing a Structural Steel Beam. Kristen M. Lechner

Designing a Structural Steel Beam. Kristen M. Lechner Designing a Structural Steel Beam Kristen M. Lechner November 3, 2009 1 Introduction Have you ever looked at a building under construction and wondered how the structure was designed? What assumptions

More information

INTERNATIONAL JOURNAL OF CIVIL AND STRUCTURAL ENGINEERING Volume 2, No 1, 2011

INTERNATIONAL JOURNAL OF CIVIL AND STRUCTURAL ENGINEERING Volume 2, No 1, 2011 INTERNATIONAL JOURNAL OF CIVIL AND STRUCTURAL ENGINEERING Volume 2, No 1, 2011 Copyright 2010 All rights reserved Integrated Publishing services Research article ISSN 0976 4399 Influence of structural

More information

Prof. Dr. Hamed Hadhoud. Design of Water Tanks: Part (1)

Prof. Dr. Hamed Hadhoud. Design of Water Tanks: Part (1) Design of Water Tanks: Part (1) 1 Types of Tanks Elevated Tanks Resting on Soil & Underground Tanks Tank Walls Walls Shallow Medium Deep L/ L/ < & L/ >0.5 /L L L L 3 Shallow Walls L 1 m L/ (for same continuity

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS 2009 The McGraw-Hill Companies, Inc. All rights reserved. Fifth SI Edition CHAPTER 4 MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf David F. Mazurek Pure Bending Lecture

More information

Reinforced Concrete Design SHEAR IN BEAMS

Reinforced Concrete Design SHEAR IN BEAMS CHAPTER Reinforced Concrete Design Fifth Edition SHEAR IN BEAMS A. J. Clark School of Engineering Department of Civil and Environmental Engineering Part I Concrete Design and Analysis 4a FALL 2002 By Dr.

More information

Laboratory Weeks 9 10 Theory of Pure Elastic Bending

Laboratory Weeks 9 10 Theory of Pure Elastic Bending Laboratory Weeks 9 10 Theory of Pure Elastic Bending Objective To show the use of the Sagital method for finding the Radius of Curvature of a beam, to prove the theory of bending, and find the elastic

More information

VERTICAL STRESS INCREASES IN SOILS TYPES OF LOADING

VERTICAL STRESS INCREASES IN SOILS TYPES OF LOADING 14.53 THEORETICAL SOIL MECHANICS VERTICAL STRESS INCREASES IN SOILS TYPES OF LOADING Point Loads (P) Line Loads (q/unit length) Figure 6.11. Das FGE (005). Examples: -Posts Figure 6.1. Das FGE (005). Examples:

More information

Distribution of Forces in Lateral Load Resisting Systems

Distribution of Forces in Lateral Load Resisting Systems Distribution of Forces in Lateral Load Resisting Systems Part 2. Horizontal Distribution and Torsion IITGN Short Course Gregory MacRae Many slides from 2009 Myanmar Slides of Profs Jain and Rai 1 Reinforced

More information

Technical Notes 3B - Brick Masonry Section Properties May 1993

Technical Notes 3B - Brick Masonry Section Properties May 1993 Technical Notes 3B - Brick Masonry Section Properties May 1993 Abstract: This Technical Notes is a design aid for the Building Code Requirements for Masonry Structures (ACI 530/ASCE 5/TMS 402-92) and Specifications

More information

PDHonline Course S151A (1 PDH) Steel Sheet Piling. Instructor: Matthew Stuart, PE, SE. PDH Online PDH Center

PDHonline Course S151A (1 PDH) Steel Sheet Piling. Instructor: Matthew Stuart, PE, SE. PDH Online PDH Center PDHonline Course S151A (1 PDH) Steel Sheet Piling Instructor: Matthew Stuart, PE, SE 2012 PDH Online PDH Center 5272 Meadow Estates Drive Fairfax, VA 22030-6658 Phone & Fax: 703-988-0088 www.pdhonline.org

More information

4B-2. 2. The stiffness of the floor and roof diaphragms. 3. The relative flexural and shear stiffness of the shear walls and of connections.

4B-2. 2. The stiffness of the floor and roof diaphragms. 3. The relative flexural and shear stiffness of the shear walls and of connections. Shear Walls Buildings that use shear walls as the lateral force-resisting system can be designed to provide a safe, serviceable, and economical solution for wind and earthquake resistance. Shear walls

More information

Design of cross-girders and slabs in ladder deck bridges

Design of cross-girders and slabs in ladder deck bridges 130 Chris R Hendy Head of Bridge Design and Technology Highways & Transportation Atkins Jessica Sandberg Senior Engineer Highways & Transportation Atkins David Iles Steel Construction Institute Design

More information

Report on. Wind Resistance of Signs supported by. Glass Fiber Reinforced Concrete (GFRC) Pillars

Report on. Wind Resistance of Signs supported by. Glass Fiber Reinforced Concrete (GFRC) Pillars Report on Wind Resistance of Signs supported by Glass Fiber Reinforced Concrete (GFRC) Pillars Prepared for US Sign and Fabrication Corporation January, 2006 SUMMARY This study found the attachment of

More information

VERTICAL STRESS INCREASES IN SOIL TYPES OF LOADING. Point Loads (P) Line Loads (q/unit length) Examples: - Posts. Examples: - Railroad track

VERTICAL STRESS INCREASES IN SOIL TYPES OF LOADING. Point Loads (P) Line Loads (q/unit length) Examples: - Posts. Examples: - Railroad track VERTICAL STRESS INCREASES IN SOIL Point Loads (P) TYPES OF LOADING Line Loads (q/unit length) Revised 0/015 Figure 6.11. Das FGE (005). Examples: - Posts Figure 6.1. Das FGE (005). Examples: - Railroad

More information

ctbuh.org/papers Title: The Tallest Concrete Building in Shanghai, China Plaza 66

ctbuh.org/papers Title: The Tallest Concrete Building in Shanghai, China Plaza 66 ctbuh.org/papers Title: The Tallest Concrete Building in Shanghai, China Plaza 66 Authors: Subjects: Keywords: Richard Tomasetti, Thornton Tomasetti Dennis Poon, Thornton Tomasetti Ling-en Hsaio, Thornton

More information

AND COLUMNS. Specific to California and featuring Trus Joist TimberStrand LSL, Microllam LVL, and Parallam PSL CALIFORNIA. Uniform and Predictable

AND COLUMNS. Specific to California and featuring Trus Joist TimberStrand LSL, Microllam LVL, and Parallam PSL CALIFORNIA. Uniform and Predictable #TJ-9020 SPECIFIER S GUIDE BEAMS, HEADERS, AND COLUMNS Specific to California and featuring Trus Joist TimberStrand LSL, Microllam LVL, and Parallam PSL CALIFORNIA Uniform and Predictable Minimal Bowing,

More information

[TECHNICAL REPORT I:]

[TECHNICAL REPORT I:] [Helios Plaza] Houston, Texas Structural Option Adviser: Dr. Linda Hanagan [TECHNICAL REPORT I:] Structural Concepts & Existing Conditions Table of Contents Executive Summary... 2 Introduction... 3 Structural

More information

STRUCTURES. 1.1. Excavation and backfill for structures should conform to the topic EXCAVATION AND BACKFILL.

STRUCTURES. 1.1. Excavation and backfill for structures should conform to the topic EXCAVATION AND BACKFILL. STRUCTURES 1. General. Critical structures may impact the integrity of a flood control project in several manners such as the excavation for construction of the structure, the type of foundation, backfill

More information

Appendix : According to IBC 2003, table , the minimum uniformly distributed live loads and minimum concentrated live loads are as follow:

Appendix : According to IBC 2003, table , the minimum uniformly distributed live loads and minimum concentrated live loads are as follow: Appendix Dead and Live Loads International Building Code 2003 (IBC) 1607.1: According to IBC 2003, table 1607.1, the minimum uniformly distributed live loads and minimum concentrated live loads are as

More information

INTRODUCTION TO BEAMS

INTRODUCTION TO BEAMS CHAPTER Structural Steel Design LRFD Method INTRODUCTION TO BEAMS Third Edition A. J. Clark School of Engineering Department of Civil and Environmental Engineering Part II Structural Steel Design and Analysis

More information

COURSE SYLLABUS CIVIL ENGINEERING: FOUNDATION ENGINEERING

COURSE SYLLABUS CIVIL ENGINEERING: FOUNDATION ENGINEERING COURSE SYLLABUS CIVIL ENGINEERING: FOUNDATION ENGINEERING INSTRUCTOR: SUNG-SIK PARK Division of Civil, Environmental and Urban Engineering Wonkwang University Office: 1201 Engineering Building Tel: 850-6716

More information

9.3 Two-way Slabs (Part I)

9.3 Two-way Slabs (Part I) 9.3 Two-way Slabs (Part I) This section covers the following topics. Introduction Analysis and Design Features in Modeling and Analysis Distribution of Moments to Strips 9.3.1 Introduction The slabs are

More information

SECTIONS

SECTIONS STEEL BUILDINGS, INC. Purlin Load Tables ZEE SECTIONS WWW.WHIRLWINDSTEEL.COM This page intentionally left blank. Copyright Whirlwind Steel Buildings, Inc. All Rights Reserved. Descriptions and specifications

More information

Copyright 2011 Casa Software Ltd. www.casaxps.com. Centre of Mass

Copyright 2011 Casa Software Ltd. www.casaxps.com. Centre of Mass Centre of Mass A central theme in mathematical modelling is that of reducing complex problems to simpler, and hopefully, equivalent problems for which mathematical analysis is possible. The concept of

More information

Rosboro. Architectural Appearance Full Framing-Width Stock Glulam I-Joist and Conventional Depths Beams and Columns. Next-Generation Glulam.

Rosboro. Architectural Appearance Full Framing-Width Stock Glulam I-Joist and Conventional Depths Beams and Columns. Next-Generation Glulam. Architectural Appearance Full Framing-Width Stock Glulam I-Joist and Conventional Depths Beams and Columns X-Beam: Ushering in a new era of efficiency and convenience, X-Beam is the building industry s

More information

Hunter College school of Social Work Thesis Proposal

Hunter College school of Social Work Thesis Proposal Fall 2009 Hunter College school of Social Work Thesis Proposal To analyze how energy efficiency can be implemented using facade and green roof redesign. It ties structural engineering concepts with existing

More information

Chapter 3 THE STATIC ASPECT OF SOLICITATION

Chapter 3 THE STATIC ASPECT OF SOLICITATION Chapter 3 THE STATIC ASPECT OF SOLICITATION 3.1. ACTIONS Construction elements interact between them and with the environment. The consequence of this interaction defines the system of actions that subject

More information

A transverse strip of the deck is assumed to support the truck axle loads. Shear and fatigue of the reinforcement need not be investigated.

A transverse strip of the deck is assumed to support the truck axle loads. Shear and fatigue of the reinforcement need not be investigated. Design Step 4 Design Step 4.1 DECK SLAB DESIGN In addition to designing the deck for dead and live loads at the strength limit state, the AASHTO-LRFD specifications require checking the deck for vehicular

More information

MECHANICAL BEHAVIOR OF REINFORCED CONCRETE BEAM-COLUMN ASSEMBLAGES WITH ECCENTRICITY

MECHANICAL BEHAVIOR OF REINFORCED CONCRETE BEAM-COLUMN ASSEMBLAGES WITH ECCENTRICITY 13 th World Conference on Earthquake Engineering Vancouver, B.C., Canada August 1-6, 2004 Paper No. 4 MECHANICAL BEHAVIOR OF REINFORCED CONCRETE BEAM-COLUMN ASSEMBLAGES WITH ECCENTRICITY Tomohiko KAMIMURA

More information

Helical Pile Application and Design

Helical Pile Application and Design PDHonline Course C513 (1 PDH) Helical Pile Application and Design Instructor: Andrew P. Adams, PE 2012 PDH Online PDH Center 5272 Meadow Estates Drive Fairfax, VA 22030-6658 Phone & Fax: 703-988-0088 www.pdhonline.org

More information

6 1. Draw the shear and moment diagrams for the shaft. The bearings at A and B exert only vertical reactions on the shaft.

6 1. Draw the shear and moment diagrams for the shaft. The bearings at A and B exert only vertical reactions on the shaft. 06 Solutions 46060_Part1 5/27/10 3:51 PM Page 329 6 1. Draw the shear and moment diagrams for the shaft. The bearings at and exert only vertical reactions on the shaft. 250 mm 800 mm 24 kn 6 2. Draw the

More information

AND COLUMNS. Featuring Trus Joist TimberStrand LSL, Microllam LVL, and Parallam PSL. Uniform and Predictable. Minimal Bowing, Twisting, and Shrinking

AND COLUMNS. Featuring Trus Joist TimberStrand LSL, Microllam LVL, and Parallam PSL. Uniform and Predictable. Minimal Bowing, Twisting, and Shrinking #TJ-9000 SPECIFIER S GUIDE BEAMS, HEADERS, AND COLUMNS Featuring Trus Joist TimberStrand LSL, Microllam LVL, and Parallam PSL Uniform and Predictable Minimal Bowing, Twisting, and Shrinking Strong and

More information

DESIGN OF STRUCTURES. Engr. Faizan Tahir

DESIGN OF STRUCTURES. Engr. Faizan Tahir DESIGN OF STRUCTURES Engr. Faizan Tahir RETAINING WALLS Function of retaining wall Retaining walls are used to hold back masses of earth or other loose material where conditions make it impossible to let

More information

THREE DIMENSIONAL ACES MODELS FOR BRIDGES

THREE DIMENSIONAL ACES MODELS FOR BRIDGES THREE DIMENSIONAL ACES MODELS FOR BRIDGES Noel Wenham, Design Engineer, Wyche Consulting Joe Wyche, Director, Wyche Consulting SYNOPSIS Plane grillage models are widely used for the design of bridges,

More information

DISTRIBUTION OF LOADSON PILE GROUPS

DISTRIBUTION OF LOADSON PILE GROUPS C H A P T E R 7 DISTRIBUTION OF LOADSON PILE GROUPS Section I. DESIGN LOADS 7-1. Basic design. The load carried by an individual pile or group of piles in a foundation depends upon the structure concerned

More information

Reinforced Concrete Design to BS8110 Structural Design 1 Lesson 5

Reinforced Concrete Design to BS8110 Structural Design 1 Lesson 5 Lesson 5: Deflection in reinforced concrete beams Content 4.1 Introduction 4. Definitions 4..1 Tension 4.. Compression 4.3 Initial sizing 4.3.1 Worked example 4.4 Reinforcement details 4.5 Anchorage at

More information

Earth Pressure and Retaining Wall Basics for Non-Geotechnical Engineers

Earth Pressure and Retaining Wall Basics for Non-Geotechnical Engineers PDHonline Course C155 (2 PDH) Earth Pressure and Retaining Wall Basics for Non-Geotechnical Engineers Instructor: Richard P. Weber, P.E. 2012 PDH Online PDH Center 5272 Meadow Estates Drive Fairfax, VA

More information

Composite Sections and Steel Beam Design. Composite Design. Steel Beam Selection - ASD Composite Sections Analysis Method

Composite Sections and Steel Beam Design. Composite Design. Steel Beam Selection - ASD Composite Sections Analysis Method Architecture 324 Structures II Composite Sections and Steel Beam Design Steel Beam Selection - ASD Composite Sections Analysis Method Photo by Mike Greenwood, 2009. Used with permission University of Michigan,

More information

Since the Steel Joist Institute

Since the Steel Joist Institute SELECTING and SPECIFYING Wesley B. Myers, P.E. An insider s guide to selecting and specifying K-series, LH, DLH-series joists and joist girders Since the Steel Joist Institute adopted the first standard

More information