A plane frame with a pin support at A and roller supports at C and £ has a cable attached at E. which runs over Frictionless pulleys al D and B (see figure). The cable force is known to be 400 N. There is a pin connection just Lo the left of joint C.
(a) Find reactions at supports^, C, and E.
(b) Find internal stress, resultants N, V, and M just to the right of joint C.
(c) Find resultant force in the pin near C.
(a)
Reactions at supports A, C and E.
Answer to Problem 1.3.26P
The correct answers are:
Explanation of Solution
Given Information:
You have following figure with all relevant information:
Calculation:
Consider the following free body diagram:
Member AB :
Take equilibrium of moments about point B:
Take equilibrium of forces in
Take equilibrium of forces in
Member DCE :
Take equilibrium of moments about point C:
Take equilibrium of forces in
Take equilibrium of forces in
Now, solve equations (1-6) to get
Conclusion:
Thus, the reaction forces are:
(b)
Internal stress resultants N, V and M just to the right of C.
Answer to Problem 1.3.26P
The correct answers are:
Explanation of Solution
Given Information:
You have following figure with all relevant information:
Calculation of external forces:
Consider the following free body diagram:
Member AB :
Take equilibrium of moments about point B:
Take equilibrium of forces in
Take equilibrium of forces in
Member DCE :
Take equilibrium of moments about point C:
Take equilibrium of forces in
Take equilibrium of forces in
Now, solve equations (1-6) to get
Calculation of internal forces:
Consider the following free body diagram:
Consider the right hand side of the above free body diagram.
Take equilibrium of forces in
Take equilibrium of forces in
Take equilibrium of moments about point E:
Conclusion:
Thus, the internal forces are:
(c)
Resultant force in the pin near C.
Answer to Problem 1.3.26P
The correct answers are:
Explanation of Solution
Given Information:
You have following figure with all relevant information:
Calculation:
Consider the following free body diagram;
Member AB :
Take equilibrium of moments about point B:
Take equilibrium of forces in
Take equilibrium of forces in
Member DCE :
Take equilibrium of moments about point C,
Take equilibrium of forces in
Take equilibrium of forces in
Now, solve equations (1-6) to get:
Resultant force at pin near C is:
Conclusion:
Thus, the resultant force at pin near C is:
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Chapter 1 Solutions
Mechanics of Materials (MindTap Course List)
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- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning