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Question

# A square column section of size 400mm is subjected to a concentrated load of magnitude 400kN causing compression in member at an eccentricity of 50mm from centroid measured along one of its diagonal. The maximum compressive and tensile stress respectively are:

A
6.151MPa, 2.131MPa
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B
5.151MPa, 0.151MPa
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C
0.151MPa, 6.263MPa
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D
2.629MPa, 9.136MPa
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Solution

## The correct option is B 5.151MPa, 0.151MPa OA=OB=(400√2)2 mm =282.84mm A=4002 mm2 I=400412=2.133×109mm4 ZA=2.133×109282.84=7541366.143mm3 Also, ZB=7541366.143mm3 (σC)max=400×1034002+400×103×507541366.143=5.152MPa ⎡⎢⎣Sign convention:Compression→‘‘+"Tension→‘‘−"⎤⎥⎦ (σT)max=400×1034002−400×103×507541366.143=−0.152MPa

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