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

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

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

Answer

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