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The member is made from an elastic-plastic material. Determine the maximum elastic moment and the plastic moment that can be applied to the cross section. Take b = 4 in., h = 6 in., { { \sigma }_{ Y } } = 36 ksi.

Step-by-step

Elastic analysis:

{ I=2\left[ \frac { 1 }{ 12 } \left( 4 \right) { \left( 3 \right) }^{ 3 } \right] =18{ in }^{ 4 } } { M }_{ Y }=\frac { { \sigma }_{ Y }I }{ c } =\frac { 36\left( 18 \right) }{ 3 } =216kip\cdot in.=18kip\cdot ft

Plastic analysis:

{ T=C=\frac { 1 }{ 2 } \left( 4 \right) \left( 3 \right) \left( 36 \right) =216kip } { { M }_{ p }=2160\left( \frac { 6 }{ 3 } \right) =432kip\cdot in.=36kip\cdot ft }

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