Concept explainers
The cable of length 15 m supports the forces
(a)
Derive the simultaneous equations for
Answer to Problem 6.89P
Three simultaneous equations denoted by (a), (b) and (c) are derived.
Explanation of Solution
Given information:
Length of the cable is 15 m.
Forces at B and C are
Calculations:
From geometry:
Apply Eq. (6.19) to joints B and C
Equating two equations:
Conclusion:
Three simultaneous equations relating
(b)
Show that the solution of the equations derived in part (a) are
Answer to Problem 6.89P
Solution of the three equations defined in part (a) are
Explanation of Solution
Given information:
Length of the cable is 15 m.
Forces at B and C are
Equations derived in part (a):
Calculations:
Substituting the values
Conclusion:
Since all three equations are satisfied, thus
(c)
Find the force in each segment in terms of W.
Answer to Problem 6.89P
Force in segment AB:
Force in segment BC:
Force in segment CD:
Explanation of Solution
Given information:
Length of the cable is 15 m.
Forces at B and C are
Equations derived in part (a):
Calculations:
Using Eq. 6.19 to joint B:
Applying Eq. (6.18) to joints B, C and D (note that
Conclusion:
Force in segments AB, BC and CD are
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Chapter 6 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L