The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M, if the system shown is equivalent to a single force acting at point C. b. The system shown is equivalent to a force-couple system consisting of R and M2 = 3000 kip-in clockwise. If M, in this case is 120 kip-in counterclockwise, determine the point of action of the resultant force R along line CD.

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The force-couple system shown acts on a trapezoidal plate.
a. Determine the value of M, if the system shown is equivalent to a single force acting at point C.
b. The system shown is equivalent to a force-couple system consisting of R and M2 = 3000 kip-in
clockwise. If M, in this case is 120 kip-in counterclockwise, determine the point of action of the
resultant force R along line CD.
50
1YZ kips
10 in
1X in
10 in
B
20 kips
35 kips
8X kips
2Y in
M1
50
1YZ kips
Parameters
X = 7, Y = 8, Z = 4
1X in
17 in
2Y in
28 in
8X kips
1YZ kips
87 kips
184 kips
18 in
Transcribed Image Text:The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M, if the system shown is equivalent to a single force acting at point C. b. The system shown is equivalent to a force-couple system consisting of R and M2 = 3000 kip-in clockwise. If M, in this case is 120 kip-in counterclockwise, determine the point of action of the resultant force R along line CD. 50 1YZ kips 10 in 1X in 10 in B 20 kips 35 kips 8X kips 2Y in M1 50 1YZ kips Parameters X = 7, Y = 8, Z = 4 1X in 17 in 2Y in 28 in 8X kips 1YZ kips 87 kips 184 kips 18 in
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