Question

compute the maximum shear (v) for the simply - supported beam shown below. assume l = 20 ft, a = 12 ft, b = 8 ft and f = 150 lb

Explanation:

Step1: Calculate reaction force at left - hand support

For a simply - supported beam with a single concentrated load \(F\), the reaction force at the left - hand support \(R_1\) is given by \(R_1=\frac{F\times b}{L}\).
Substitute \(F = 150\) lb, \(b = 8\) ft, and \(L=20\) ft into the formula: \(R_1=\frac{150\times8}{20}=60\) lb.

Step2: Determine maximum shear force

The maximum shear force in a simply - supported beam with a single concentrated load occurs just to the left or right of the concentrated load. The maximum shear force \(V_{max}\) is equal to the larger of the two reaction forces. In this case, the reaction force at the left - hand support \(R_1 = 60\) lb and the reaction force at the right - hand support \(R_2=F - R_1=150 - 60 = 90\) lb. So the maximum shear force \(V = 90\) lb.

Answer:

None of these answers are correct