AE 3120 Spring 2003 TEST # 1 Solutions

The above moments creates a normal stress distribution which can be shown as...

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If we consider any section at

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This stress distribution creates a total force F1 and F2 on each side of the element.
These forces can be found integrating the stress distribution over the face of the beam.

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And stresses can be defined as...

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If the force equilibrium in x-direction is performed...

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And

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Let

Then

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At the section 1m from the tip C

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Normal stress distribution

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Q of a section at a distance y from the z axis is...

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Shear stress distribution over the web is then

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To make a check....

of the load is carried by the web.

Maximum normal stress....

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Maximum shear stress...

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