A simple beam AB supports two connected wheel loads P and 2P that are distance d apart. The wheels may be placed at any distance x from the left-hand support of the beam. Assume P = 10 kN, d = 2.4 m, and L = 12 m. a) Determine the distance x that will produce the maximum shear force in the beam and the value of the maximum shear force Vmax. b) Determine the distance x that will produce the maximum bending moment in the beam and draw the corresponding bending moment diagram

A simple beam AB supports two connected wheel loads P and 2P that are distance d apart. The wheels may be placed at any distance x from the left-hand support of the beam. Assume P = 10 kN, d = 2.4 m, and L = 12 m. a) Determine the distance x that will produce the maximum shear force in the beam and the value of the maximum shear force Vmax. b) Determine the distance x that will produce the maximum bending moment in the beam and draw the corresponding bending moment diagram

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.5.27P: The simple beam ACE shown in the figure is subjected to a triangular load of maximum intensity q0=...

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Question

A simple beam AB supports two connected wheel
loads P and 2P that are distance d apart. The
wheels may be placed at any distance x from the
left-hand support of the beam. Assume P = 10 kN,
d = 2.4 m, and L = 12 m.
a) Determine the distance x that will produce the
maximum shear force in the beam and the
value of the maximum shear force Vmax.
b) Determine the distance x that will produce the
maximum bending moment in the beam and
draw the corresponding bending moment
diagram.
P
d
2P

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