DesignationSerialsize457x191■ Calculate the design tension resistance of the 457 × 191 ×67 UB. Given information from steel section table(assuming S275):Axisy-ycm³129667ElasticmodulusWelAxisZ-Zcm³153Masspermetrekg/m67.1Depth ofsectionhmm453.4Width ofsectionbmm189.9PlasticmodulusWplAxisy-ycm³1471AxisZ-Zcm³237Thickness Thickness Rootof web of flange radiustwtfmmrmmmm8.512.7BucklingparameterU0.872TorsionalindexX37.910.2Depthbetweenfilletsdmm407.6Ratios forlocalbucklingFlange WebCf/tfCw/twdm60.7056.34Warping TorsionalconstantlwconstantITcm437.148.0Area ofsectioncm²85.5Second momentof areaAxisy-ycm429380AxisZ-Zcm4kNm5221452Indicative valuesfor S355 steelMc.y.RdNb.z.Rd*forLcr=3.5mkN1600Radius ofgyrationiAxisy-ycm18.5AxisZ-Zcm4.12;DesignationSerialsize67 457x191

Given: Section: 457 x 191 x 67 UB Ag = 85.51 cm2 S275 grade: Fy = 275 N/mm2

Designation Serial size 457x191 67 Calculate the design tension resistance of the 457 × 191 × 67 UB. Given information from steel section table (assuming S275): Elastic modulus Wel Axis y-y cm³ 1296 Axis Z-Z cm³ 153 per metre Mass Depth of Width of section section h b mm 189.9 kg/m mm 67.1 453.4 Plastic modulus Wpl Axis y-y cm³ 1471 Axis Z-Z cm³ 237 Thickness Thickness Root of web of flange radius tw tr mm r mm mm 8.5 12.7 10.2 Buckling parameter U 0.872 Depth between fillets d mm 407.6 Torsional Warping index constant Ilw X 37.9 dm 0.705 Flange C₁/t₁ Ratios for local buckling 6.34 Torsional constant IT cm¹ 37.1 Web Cw/tw 48.0 Area of section cm² 85.5 Second moment of area I Axis y-y cm4 29380 Indicative values for $355 steel Mc.y.Rd kNm Axis Z-Z cmª 1452 522 Nb.z.Rd* for Lcr=3.5m kN 1600 Radius of gyration i Axis y-y cm 18.5 Axis Z-Z cm 4.12: Designation Serial size 67 457x191

Designation Serial size 457x191 67 Calculate the design tension resistance of the 457 × 191 × 67 UB. Given information from steel section table (assuming S275): Elastic modulus Wel Axis y-y cm³ 1296 Axis Z-Z cm³ 153 per metre Mass Depth of Width of section section h b mm 189.9 kg/m mm 67.1 453.4 Plastic modulus Wpl Axis y-y cm³ 1471 Axis Z-Z cm³ 237 Thickness Thickness Root of web of flange radius tw tr mm r mm mm 8.5 12.7 10.2 Buckling parameter U 0.872 Depth between fillets d mm 407.6 Torsional Warping index constant Ilw X 37.9 dm 0.705 Flange C₁/t₁ Ratios for local buckling 6.34 Torsional constant IT cm¹ 37.1 Web Cw/tw 48.0 Area of section cm² 85.5 Second moment of area I Axis y-y cm4 29380 Indicative values for $355 steel Mc.y.Rd kNm Axis Z-Z cmª 1452 522 Nb.z.Rd* for Lcr=3.5m kN 1600 Radius of gyration i Axis y-y cm 18.5 Axis Z-Z cm 4.12: Designation Serial size 67 457x191

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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