Determine the reactions on the beam at A and B. 300 N/m 5 m 550 N/m 5 m. 5 m- 300 N/m B

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Statics. A similar question is provided but I still don't get it. Please show fbd as the solved example

Determine the reactions on the beam at A and B.
300 N/m
5 m
550 N/m
5 m
A
- 5 m
}300 N/m
B
Transcribed Image Text:Determine the reactions on the beam at A and B. 300 N/m 5 m 550 N/m 5 m A - 5 m }300 N/m B
1. The beam has a pin support at A, a roller support at B, and is subjected to a
trapezoidal distributed load. What are the reactions at A and B?
50 kN/m
A
4 m
4/350
TA
EMA =
25 kN/m
1002
B
↑B
+ B(4) - 100/2) - 50 ( 4 ) =0
→ B = 66 333 KN
EF₁ =
EF₁ = A+B-50-100=0
→ A = 83 33 kN
Transcribed Image Text:1. The beam has a pin support at A, a roller support at B, and is subjected to a trapezoidal distributed load. What are the reactions at A and B? 50 kN/m A 4 m 4/350 TA EMA = 25 kN/m 1002 B ↑B + B(4) - 100/2) - 50 ( 4 ) =0 → B = 66 333 KN EF₁ = EF₁ = A+B-50-100=0 → A = 83 33 kN
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