sectional area of the beam is shown in Figure Q2 (b) and the yield stress of the material is 220 MPa. The material is assumed to behave linearly elastic-perfectly plastic. a) Write the bending moment equation for the beam and sketch the bending moment diagram b) Determine the moment to initiate yielding in the cross-section c) Determine the moment to cause plastic collapse (fully plastic) in the cross-section d) Calculate the magnitude of the uniformly distributed load w, which causes plastic hinge e) Find the yield length of the beam due to the plastic collapse 20 P1 kN/m P3 A P2 I 20 Figure Q2 (a)

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Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.