Consider a beam under combined loading. Axial force, bending moment and torsion.(adsbygoogle = window.adsbygoogle || []).push({});

I'm interested in determining the principle stress in any stress element on surface of beam.

Well as per rule i've to show my attempt so:

normal stress=axial load/beam crosssection

shear stress=torsion*radius/polar MOI

bending stress=moment * radius/ MoI about NA

normal stress and bending stress have same line of action so undergo vector addition.

Now we have a normal stress and shear stress. We got principal stress and orientation from Mohr's circle.

Sounds good... But it didn't work. Where did i go wrong?

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# Analysis of stress element

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