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The absolute maximum shear in a simply supported beam due to a series of moving concentrated loads always occurs at sections just inside the supports.

The beam supports a uniform live load of 330 lb/ft. Determine the maximum positive shear that can be developed at point B. Assume the support at A is a pin and C is a roller. The influence lines for VB and MB are shown, along with the peak values of the influence lines.

We can only use Castigliano’s Second Theorem to calculate the deflections of trusses and beams. It does not work for frames.

The beam supports a single live load of 2,800 lb, a uniform live load of 500 lb/ft, a uniform dead load of 50 lb/ft. Determine the maximum positive moment that can be developed at point B. Assume the support at A is a pin and C is a roller. The influence lines for VB and MB are shown, along with the peak values of the influence lines.

The beam supports a single live load of 2,800 lb. Determine the maximum positive moment that can be developed at point B. Assume the support at A is a pin and C is a roller. The influence lines for VB and MB are shown, along with the peak values of the influence lines.

Which conjugate beam corresponds to real beam 5?

Draw the influence line for the shear at B. What is the line’s maximum value? Let L1 = 3 m and L2 = 11 m.

Determine the vertical displacement of joint B. Assume A = 2 in.2 and E = 29,000 ksi for each member. Let P = 610 lb and L = 8 ft.

Draw the influence line for the reaction at C. What is the line’s maximum value? Let L1 = 8 m and L2 = 4 m.

Assuming that the live loads are transmitted to the bottom chords of the truss, draw the influence line for the force in member BF. What is the line’s maximum value? Let L = 20 ft.