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Q.2) A rigid bar ACD is supported by two circular steel (E= 30x10° psi) rods DE and a pin support at C. Bar ACD was horizontal prior to the application The tensile strain measured in rod AB after the application of the load is ɛ1 Determine the rotation 0 of the bar ACD and the normal strain in rod DE AI calculate the value of load P for these deformations. The diameters of rod A DE are 1.5 in. and 2 in, respectively.

Q.2) A rigid bar ACD is supported by two circular steel (E= 30x10° psi) rods DE and a pin support at C. Bar ACD was horizontal prior to the application The tensile strain measured in rod AB after the application of the load is ɛ1 Determine the rotation 0 of the bar ACD and the normal strain in rod DE AI calculate the value of load P for these deformations. The diameters of rod A DE are 1.5 in. and 2 in, respectively.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Q.2) A rigid bar ACD is supported by two circular steel (E= 30x10° psi) rods AB & DE and a pin support at C. Bar ACD was horizontal prior to the application of load P. The tensile strain measured in rod AB after the application of the load is ɛ1= 0.003. Determine the rotation 0 of the bar ACD and the normal strain in rod DE. Also calculate the value of load P for these deformations. The diameters of rod AB and DE are 1.5 in. and 2 in, respectively. P - 4 ft 4 ft- 6 ft A Rigid (2) 6 ft 8 ft (1) E В
Transcribed Image Text:Q.2) A rigid bar ACD is supported by two circular steel (E= 30x10° psi) rods AB & DE and a pin support at C. Bar ACD was horizontal prior to the application of load P. The tensile strain measured in rod AB after the application of the load is ɛ1= 0.003. Determine the rotation 0 of the bar ACD and the normal strain in rod DE. Also calculate the value of load P for these deformations. The diameters of rod AB and DE are 1.5 in. and 2 in, respectively. P - 4 ft 4 ft- 6 ft A Rigid (2) 6 ft 8 ft (1) E В
Expert Solution
Step 1

Draw free body diagram

Civil Engineering homework question answer, step 1, image 1

From deflected shape

δAB8=δP4=δDE6=tanθ

Consider the moment equilibrium about point C

P×4-FDE×6-FAB×8=06FDE+8FAB=4P             ...(1)

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