Concept explainers
Find the force representing the reaction at A using the virtual work method.
Find the couple representing the reaction at A using the virtual work method.
Answer to Problem 10.53P
The force representing the reaction at A is
The couple representing the reaction at A is
Explanation of Solution
Find the force at A;
Show the free-body diagram of the continuous beam as in Figure 1.
Consider the member AB is horizontal.
The vertical displacement at point A is
Find the vertical displacement
Find the vertical displacement
Find the vertical displacement
Find the vertical displacement
Use the concept of virtual work;
Substitute
Therefore, the force representing the reaction at A is
Find the couple at A;
Show the free-body diagram of the continuous beam as in Figure 2.
Rotate the member AB in the beam through
Find the vertical reaction
Find the vertical displacement
Find the vertical displacement
Find the vertical displacement
Use the concept of virtual work;
Substitute
Therefore, the couple representing the reaction at A is
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Chapter 10 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
- L (a) a) Using the method of joints, determine the force in each member of the truss shown if the force L is applied at (a) (on top of the truss). State А 4d В whether each member is in tension or compression. b) Using the method of joints, determine the force in each member of the truss shown if instead the force L is applied at (b) (on the bottom of the truss). State whether each member is in tension or compression. 3d C I(b) Larrow_forward71 of 923 > Fig. 10.123 E 6.126 Solve Prob. 6.125 when (a) ẞ = 0, (b) f = 6°. 6.127 The press shown is used to emboss a small seal at E. Knowing that P = 250 N, determine (a) the vertical component of the force exerted on the seal, (b) the reaction at A. Answer Fig. P6.127 and P6.128 = 200 mm A B 60° D -20° 400 mm 15° Aa Carrow_forwardFor the shown frame and loads P=756 KN and Q=1512 KN, - 3 m 1.5 m 1 m 8 m 6 m magnitude of y-component of reaction at B (KN) a. 168 b. 210 C. 252 d. 262.5 e. 294 magnitude of x-component of reaction at B (KN) a. 6552 b. 4368 с. 5460 d. 2184 e. 7644 magnitude of x-component of reaction at C (KN) magnitude of y-component of reaction at C (KN) magnitude of y-component of reaction at A (KN)arrow_forward
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