Eurocode 3: EN :2005/AC: CEB Design Guide: Design of fastenings in concrete

Transcription

1 Page 1 of 5 Autodesk Robot Structural Analysis Professional 2015 Fixed column base design Eurocode 3: EN :2005/AC: CEB Design Guide: Design of fastenings in concrete Ratio 0.71 GENERAL Connection no.: 2 Connection name: Fixed column base GEOMETRY COLUMN Section: SHSH 250x250x12.5 L c 4.00 [m] Column length h c b fc t wc t fc r c 0.0 [Deg] Inclination angle 250 [mm] Height of column section 250 [mm] Width of column section 13 [mm] Thickness of the web of column section 13 [mm] Thickness of the flange of column section 13 [mm] Radius of column section fillet A c [mm 2 ] Cross-sectional area of a column I yc [mm 4 ] Moment of inertia of the column section f yc [MPa] Resistance f uc [MPa] Yield strength of a material COLUMN BASE l pd 500 [mm] Length b pd 500 [mm] Width

2 Page 2 of 5 t pd 25 [mm] Thickness f ypd [MPa] Resistance f upd [MPa] Yield strength of a material ANCHORAGE The shear plane passes through the UNTHREADED portion of the bolt. Class 8.8 Anchor class f yb [MPa] Yield strength of the anchor material f ub d A s A v [MPa] Tensile strength of the anchor material 30 [mm] Bolt diameter 561 [mm 2 ] Effective section area of a bolt 707 [mm 2 ] Area of bolt section n H 4 Number of bolt columns n V 4 Number of bolt rows Horizontal spacing e Hi 130;130 [mm] Vertical spacing e Vi 130;130 [mm] Anchor dimensions L 1 50 [mm] L 2 L 3 Anchor plate l p b p 600 [mm] 50 [mm] 130 [mm] Length 130 [mm] Width t p 10 [mm] Thickness f y [MPa] Resistance Washer l wd b wd t wd 60 [mm] Length 60 [mm] Width 8 [mm] Thickness MATERIAL FACTORS M Partial safety factor M Partial safety factor C 1.50 Partial safety factor SPREAD FOOTING L 900 [mm] Spread footing length B 1200 [mm] Spread footing width H 1200 [mm] Spread footing height Concrete Class C40 f ck [MPa] Characteristic resistance for compression Grout layer t g 25 [mm] Thickness of leveling layer (grout) f ck,g [MPa] Characteristic resistance for compression C f,d 0.20 Coeff. of friction between the base plate and concrete

3 Page 3 of 5 WELDS a p 8 [mm] Footing plate of the column base LOADS Case: Manual calculations. N j,ed [kn] Axial force V j,ed,y [kn] Shear force V j,ed,z [kn] Shear force RESULTS COMPRESSION ZONE COMPRESSION OF CONCRETE f cd [MPa] Design compressive resistance EN :[3.1.6.(1)] f j [MPa] Design bearing resistance under the base plate [6.2.5.(7)] c t p (f yp /(3*f j * M0 )) c 45 [mm] Additional width of the bearing pressure zone [6.2.5.(4)] b eff 102 [mm] Effective width of the bearing pressure zone under the flange [6.2.5.(3)] l eff 339 [mm] Effective length of the bearing pressure zone under the flange [6.2.5.(3)] A c [mm 2 ] Area of the joint between the base plate and the foundation EN :[6.7.(3)] A c [mm 2 ] Maximum design area of load distribution EN :[6.7.(3)] F rdu A c0 *f cd *(A c1 /A c0 ) 3*A c0 *f cd F rdu [kn] Bearing resistance of concrete EN :[6.7.(3)] j 0.67 Reduction factor for compression [6.2.5.(7)] f jd j *F rdu /(b eff *l eff ) f jd [MPa] Design bearing resistance [6.2.5.(7)] A c,n [mm 2 ] Bearing area for compression [ (1)] F c,rd,i A C,i *f jd F c,rd,n [kn] Bearing resistance of concrete for compression [ (1)] RESISTANCES OF SPREAD FOOTING IN THE COMPRESSION ZONE N j,rd F c,rd,n N j,rd [kn] Resistance of a spread footing for axial compression [ (1)] CONNECTION CAPACITY CHECK N j,ed / N j,rd 1,0 (6.24) 0.23 < 1.00 verified (0.23) SHEAR BEARING PRESSURE OF AN ANCHOR BOLT ONTO THE BASE PLATE Shear force V j,ed,y d,y 0.57 Coeff. taking account of the bolt position - in the direction of shear [Table 3.4] b,y 0.57 Coeff. for resistance calculation F 1,vb,Rd [Table 3.4] mhtml:file://c:\users\monica.rodriguez\documents\autodesk\output\ra_res.mht

4 Page 4 of 5 k 1,y 2.50 Coeff. taking account of the bolt position -perpendicularly to the direction of shear [Table 3.4] F 1,vb,Rd,y k 1,y * b,y *f up *d*t p / M2 F 1,vb,Rd,y [kn] Resistance of an anchor bolt for bearing pressure onto the base plate [6.2.2.(7)] Shear force V j,ed,z d,z 0.57 Coeff. taking account of the bolt position - in the direction of shear [Table 3.4] b,z 0.57 Coeff. for resistance calculation F 1,vb,Rd [Table 3.4] k 1,z 2.50 Coeff. taking account of the bolt position - perpendicularly to the direction of shear [Table 3.4] F 1,vb,Rd,z k 1,z * b,z *f up *d*t p / M2 F 1,vb,Rd,z [kn] Resistance of an anchor bolt for bearing pressure onto the base plate [6.2.2.(7)] SHEAR OF AN ANCHOR BOLT b 0.25 Coeff. for resistance calculation F 2,vb,Rd [6.2.2.(7)] A vb 707 [mm 2 ] Area of bolt section [6.2.2.(7)] f ub [MPa] Tensile strength of the anchor material [6.2.2.(7)] M Partial safety factor [6.2.2.(7)] F 2,vb,Rd b *f ub *A vb / M2 F 2,vb,Rd [kn] Shear resistance of a bolt - without lever arm [6.2.2.(7)] SPLITTING RESISTANCE C f,d 0.20 Coeff. of friction between the base plate and concrete [6.2.2.(6)] N c,ed [kn] Compressive force [6.2.2.(6)] F f,rd C f,d *N c,ed F f,rd [kn] Slip resistance [6.2.2.(6)] SHEAR CHECK V j,rd,y n b *min(f 1,vb,Rd,y, F 2,vb,Rd ) + F f,rd V j,rd,y [kn] Connection resistance for shear CEB [9.3.1] V j,ed,y / V j,rd,y 1, < 1.00 verified (0.35) V j,rd,z n b *min(f 1,vb,Rd,z, F 2,vb,Rd ) + F f,rd V j,rd,z [kn] Connection resistance for shear CEB [9.3.1] V j,ed,z / V j,rd,z 1, < 1.00 verified (0.37) V j,ed,y / V j,rd,y + V j,ed,z / V j,rd,z 1, < 1.00 verified (0.71) WELDS BETWEEN THE COLUMN AND THE BASE PLATE [MPa] Normal stress in a weld [4.5.3.(7)] [MPa] Perpendicular tangent stress [4.5.3.(7)] yii [MPa] Tangent stress parallel to V j,ed,y [4.5.3.(7)] zii [MPa] Tangent stress parallel to V j,ed,z [4.5.3.(7)] W 0.90 Resistance-dependent coefficient [4.5.3.(7)] / (0.9*f u / M2 )) 1.0 (4.1) 0.23 < 1.00 verified (0.23) ( (yii )) / (fu /( W * M2 ))) 1.0 (4.1)0.66 < 1.00 verified (0.66) ( ( zii )) / (f u /( W * M2 ))) 1.0 (4.1)0.68 < 1.00 verified (0.68) WEAKEST COMPONENT: ANCHOR BOLT -SHEAR -WITH LEVER ARM mhtml:file://c:\users\monica.rodriguez\documents\autodesk\output\ra_res.mht

5 Page 5 of 5 Connection conforms to the code Ratio 0.71