The compound beam is pin supported at C and supported by a roller at A and B. There is a hinge (pin) at D. Determine the reactions at the supports. Neglect the thickness of the beam.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Situation #1
The compound beam is pin supported at C and supported by a roller at A
and B. There is a hinge (pin) at D. Determine the reactions at the
supports. Neglect the thickness of the beam.
Ak
4 k
30%
A
(100+
Bft+
D
4 ft 2 ft
15 k.ft
BA
SO
000
Yk
4
Dempse
C ft 8 ft Aft-
1. What is the vertical reaction at A? (k)
2. What is the vertical reaction at B? (k)
3. What is the vertical reaction at C? (k)
4. What is the horizontal reaction at C? (k)
5. What is the moment at point A? (k-ft)
6. What is the moment at point D? (k-ft)
7. What is the moment at a point A ft left of point C? (k-ft)
8. What is the shear at a point (A + 4) ft left of point C? (k)
9. What is the shear at a point (A + 8 + C/2) ft left of point C? (k)
10. What is the moment at point C? (k-ft)
2 of 8
Given:
X=157
Y= 48
A=9
B=5
C=4
Transcribed Image Text:Situation #1 The compound beam is pin supported at C and supported by a roller at A and B. There is a hinge (pin) at D. Determine the reactions at the supports. Neglect the thickness of the beam. Ak 4 k 30% A (100+ Bft+ D 4 ft 2 ft 15 k.ft BA SO 000 Yk 4 Dempse C ft 8 ft Aft- 1. What is the vertical reaction at A? (k) 2. What is the vertical reaction at B? (k) 3. What is the vertical reaction at C? (k) 4. What is the horizontal reaction at C? (k) 5. What is the moment at point A? (k-ft) 6. What is the moment at point D? (k-ft) 7. What is the moment at a point A ft left of point C? (k-ft) 8. What is the shear at a point (A + 4) ft left of point C? (k) 9. What is the shear at a point (A + 8 + C/2) ft left of point C? (k) 10. What is the moment at point C? (k-ft) 2 of 8 Given: X=157 Y= 48 A=9 B=5 C=4
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