Learning Goal: To learn to apply the method of joints to a truss in a systematic way and thereby find the loading in each member of the truss. In analyzing or designing trusses, it is necessary to determine the force in each member of the truss. One way to do this is the method of joints. The method of joints is based on the fact that if the entire truss is in equilibrium, each joint in the truss must also be in equilibrium (i.e., the free- body diagram of each joint must be balanced). Consider the truss shown in the diagram. The applied forces are P₁ = 630 lb and P₂ = 330 lb and the distance is d = 8.50 ft. (Figure 1) Figure E 30° B D 30° с 1 of 1

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Learning Goal:
To learn to apply the method of joints to a truss in a systematic way and thereby find the loading in
each member of the truss.
In analyzing or designing trusses, it is necessary to determine the force in each member of the
truss. One way to do this is the method of joints. The method of joints is based on the fact that if
the entire truss is in equilibrium, each joint in the truss must also be in equilibrium (i.e.. the free-
body diagram of each joint must be balanced).
Consider the truss shown in the diagram. The applied forces are P₁ = 630 lb and P₂ = 330 lb
and the distance is d = 8.50 ft.
(Figure 1)
Figure
E
30⁰
d
B
D
P₁
30°
d
с
P₂
< 1 of 1 >
Part A - Where to Start the Analysis
For this truss, what joint is the best place to start the analysis?
Select the correct answer.
O Joint A
O Joint B
Joint C
O Joint D
O
Joint E
Submit
Previous Answers
✓ Correct
Because joint C is the only one that has both a known force and at most two unknown forces, we have to begin the analysis there.
Part B - The Forces in the Members at Joint C
What are the forces in the two members CB and CD?
Express the magnitudes of the forces to three significant figures. Separate your answers with a comma.
FCB=, FCD
Submit Request Answer
Submit
ΑΣΦΩΤ vec
Part C - The Sense of the Forces
ΥΠΙΑΣΦ
compression
tension
State if the members considered in part B are in tension or compression.
Complete each sentence by dragging the appropriate word into the blank. The words can be used more than once.
C
Request Answer
Member CB is in
www ?
Member CD is in
lb, lb
Reset Help
Transcribed Image Text:Learning Goal: To learn to apply the method of joints to a truss in a systematic way and thereby find the loading in each member of the truss. In analyzing or designing trusses, it is necessary to determine the force in each member of the truss. One way to do this is the method of joints. The method of joints is based on the fact that if the entire truss is in equilibrium, each joint in the truss must also be in equilibrium (i.e.. the free- body diagram of each joint must be balanced). Consider the truss shown in the diagram. The applied forces are P₁ = 630 lb and P₂ = 330 lb and the distance is d = 8.50 ft. (Figure 1) Figure E 30⁰ d B D P₁ 30° d с P₂ < 1 of 1 > Part A - Where to Start the Analysis For this truss, what joint is the best place to start the analysis? Select the correct answer. O Joint A O Joint B Joint C O Joint D O Joint E Submit Previous Answers ✓ Correct Because joint C is the only one that has both a known force and at most two unknown forces, we have to begin the analysis there. Part B - The Forces in the Members at Joint C What are the forces in the two members CB and CD? Express the magnitudes of the forces to three significant figures. Separate your answers with a comma. FCB=, FCD Submit Request Answer Submit ΑΣΦΩΤ vec Part C - The Sense of the Forces ΥΠΙΑΣΦ compression tension State if the members considered in part B are in tension or compression. Complete each sentence by dragging the appropriate word into the blank. The words can be used more than once. C Request Answer Member CB is in www ? Member CD is in lb, lb Reset Help
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