A simply supported beam with uniformly distributed loading and of rectangular cross-section has a maximum bending stress, $\sigma_{\max }$ . Calculate the strain energy stored in the beam. Assume the beam length = L, section width = b, section depth = h and modulus of elasticity of material of beam to be E.

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Question: 10.23

Find δC , δD , δC of the cantilever beam shown in Figure 10.43. ...

Clearly, bending moment at any section at a distan...
Question: 10.22

A cantilever beam is shown Figure 10.40. Find the free end deflection and rotation of the beam. ...

(a) Free end deflection: Since we have been asked ...
Question: 10.21

A cantilever beam with circular section of radius r and length L is subjected to a concentrated load P at its free end. Estimate its total strain energy. ...

From Eq. (10.17), we get strain energy due to shea...
Question: 10.4

A prismatic linearly elastic rod of cross-sectional area A and length L of negligible mass is hanging freely when a rigid weight W is allowed to fall freely from a height on to the rod as shown in Figure 10.20. The end of the rod contains flange (whose weight is neglected). Assuming no energy loss, ...

Let us assume that the rod deflects by an amount δ...
Question: 10.3

A conical rod of length L and circular cross-section as shown in Figure 10.19 is subjected to a perfectly centric axial load P. Calculate its strain energy. Assume linear elastic behaviour of the rod. ...

We position our x-coordinate as shown in Figure 10...
Question: 10.2

A prismatic steel rod of length L and cross-sectional area A hangs vertically under its own weight. Calculate the strain energy stored in the rod. Assume g is the specific weight (i.e., weight per unit volume) of the rod and that the material is following Hooke’s law. ...

Let us consider Figure 10.18 If we consider the fr...
Question: 10.20

For the beam shown in Figure 10.37, a 2 kg block is dropped from the position shown onto a 16-mm-diameter rod. Calculate (a) the maximum deflection of end A, (b) the maximum bending moment in the rod and (c) the maximum normal stress developed in the rod. Assume E = 200 GPa. ...

Let us draw the free-body diagram of the beam load...
Question: 10.19

Question: 10.18