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beams are loaded and supported as shown in the accompanying figure: Draw complete shear and moment diagrams for 600 Ib 2500 ft-lb 3ft 3 ft

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 10.4.43P: A propped cantilever beam is loaded by two different load patterns (see figures a and b). Assume...

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Question

beams are loaded and supported
as shown in the accompanying figure: Draw complete
shear and moment diagrams for
600 Ib
2500 ft-lb
3ft
3 ft

Expert Solution

Step 1

The free-body diagram of the given beam is as shown below -

since there is only point load acting at the free end of the beam. Hence, the shear force diagram will rectangular.

The bending moment can be given as different can be,

$M o m e n t a t l e f t e n d, M = 1100 l b - f t A t t h e l e f t o f m i d s e c t i o n o f t h e b e a m, M_{l} = 1100 - 600 \times 3 M_{l} = - 700 l b - f t A t t h e r i g h t o f m i d s e c t i o n o f b e a m, M_{r} = M_{l} + 2500 M_{r} = - 700 + 2500 M_{r} = 1800 l b A t t h e r i g h t e n d o f t h e b e a m, M = 0$

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Solved in 2 steps with 2 images

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