A bent beam ABCD is held in equilibrium by a roller at A and by a pinned connection at D. The beam supports a uniform distributed load (80 lb/ft) over section AB and a concentrated force (390 lb) at point C. The roller at A rests against an inclined surface that is oriented 30° from the horizontal direction. Neglect the weight and depth of the beam and the size of the roller in this analysis. (a) Draw a complete FBD of beam ABCD. Clearly label all loads, reactions, and distances. (b) Determine all reactions at A and D. A 80 lb/ft 30% 8 ft B 4 ft D 390 lb 13 12 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
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
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Problem 3:
A bent beam ABCD is held in equilibrium by a roller at A and by a pinned connection at D. The
beam supports a uniform distributed load (80 lb/ft) over section AB and a concentrated force (390 lb)
at point C. The roller at A rests against an inclined surface that is oriented 30° from the horizontal
direction. Neglect the weight and depth of the beam and the size of the roller in this analysis.
(a) Draw a complete FBD of beam ABCD. Clearly label all loads, reactions, and distances.
(b) Determine all reactions at A and D.
80 lb/ft
30°/
8 ft
B
4 ft
D
390 lb
12/12
3 ft
Transcribed Image Text:Problem 3: A bent beam ABCD is held in equilibrium by a roller at A and by a pinned connection at D. The beam supports a uniform distributed load (80 lb/ft) over section AB and a concentrated force (390 lb) at point C. The roller at A rests against an inclined surface that is oriented 30° from the horizontal direction. Neglect the weight and depth of the beam and the size of the roller in this analysis. (a) Draw a complete FBD of beam ABCD. Clearly label all loads, reactions, and distances. (b) Determine all reactions at A and D. 80 lb/ft 30°/ 8 ft B 4 ft D 390 lb 12/12 3 ft
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