37. A simply supported beam is loaded as shown. The shear force V and bending moment M as a function of x are given by the fol- lowing equations: y4 250 lb/ft 200 lb/ft V(x) = 400 - 200x lb 8 ft 12 ft M(x) = - 100xr+ 400x lb-ft for 0

37. A simply supported beam is loaded as shown. The shear force V and bending moment M as a function of x are given by the fol- lowing equations: y4 250 lb/ft 200 lb/ft V(x) = 400 - 200x lb 8 ft 12 ft M(x) = - 100xr+ 400x lb-ft for 0

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.32P: Two identical, simply supported beams AB and CD are placed so that they cross each other at their...

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Question

37. A simply supported beam is
loaded as shown. The shear force
V and bending moment M as a
function of x are given by the fol-
lowing equations:
250 lb/ft
200 lb/ft
V(x) = 400 - 200x lb
8 ft
%3D
12 ft
M(x) = - 100x +400x lb-ft
for 0<x<8 ft.
20 ft
V(x) = -1 200 lb, M(x) = - 1 200x +6, 400 lb-ft for 8<x<12 ft
V(x) = – 250x + 5, 000 lb, M(x) = – 125(x – 12)² + 2, 000x – 32, 000 lb-ft
for 12 <x< 20 ft.
Plot the shear force and the bending moment as a function of x (two figures
on one page such that the shear force diagram is displayed above the bend-
ing moment diagram).

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