2 m 2 m 3 m 3 m 3 m 3 m B Figure 4.1 5k N/m K 3 m B M N 10k N/m G P Figure 4.2 M K 1) Find the tension forces in cables IO and NP. 2) Noting that sub-structures ABHIG and HJLNM are internally stable, we can treat them as two rigid bodies with a pin connection at point H and corresponding supports, as illustrated in Figure 4.2. Draw the free body diagrams for sub-structures ABHIG and HJLNM. 3) Determine the forces acting on sub-structures ABHIG and HJLNM. 4) Once knowing the external forces acting on each sub-structure, we can further obtain the forces in each member of the sub-structures. Determine the forces in member ML and EH. L

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question

All members are of negligible weight and all joints are pin connections. The structure is supported by two hinges at point G and K and one roller at point A. Member OP is subjected to a distributed load and is held by two cables IO and NP. The entire system is in equilibrium. 

2 m
2 m
3 m
3 m
3 m
3 m
B
Figure 4.1
5k N/m
K
3 m
B
M
N
10k N/m
G
P
Figure 4.2
M
K
1) Find the tension forces in cables IO and NP.
2) Noting that sub-structures ABHIG and HJLNM are internally stable, we can treat them as two rigid
bodies with a pin connection at point H and corresponding supports, as illustrated in Figure 4.2.
Draw the free body diagrams for sub-structures ABHIG and HJLNM.
3) Determine the forces acting on sub-structures ABHIG and HJLNM.
4) Once knowing the external forces acting on each sub-structure, we can further obtain the forces
in each member of the sub-structures. Determine the forces in member ML and EH.
L
Transcribed Image Text:2 m 2 m 3 m 3 m 3 m 3 m B Figure 4.1 5k N/m K 3 m B M N 10k N/m G P Figure 4.2 M K 1) Find the tension forces in cables IO and NP. 2) Noting that sub-structures ABHIG and HJLNM are internally stable, we can treat them as two rigid bodies with a pin connection at point H and corresponding supports, as illustrated in Figure 4.2. Draw the free body diagrams for sub-structures ABHIG and HJLNM. 3) Determine the forces acting on sub-structures ABHIG and HJLNM. 4) Once knowing the external forces acting on each sub-structure, we can further obtain the forces in each member of the sub-structures. Determine the forces in member ML and EH. L
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