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Consider the structural system shown in the figure under the action of weight W. All the joints are hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity (E) are also given in the figure. Let L, A and E be 1 m, 0.05m2 and 30 x 106 N/m2, respectively, and W be 100 kN.

Consider the structural system shown in the figure under the action of weight W. All the joints are hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity (E) are also given in the figure. Let L, A and E be 1 m, 0.05m2 and 30 x 106 N/m2, respectively, and W be 100 kN.

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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Consider the structural system shown in the figure under the action of weight W. All the joints are hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity (E) are also given in the figure. Let L, A and E be 1 m, 0.05m2 and 30 x 106 N/m2, respectively, and W be 100 kN. A3 L A, E А, Е P opsib er ni/c1 2A, E 45° Q 45° 45° 45° А, E А, Е S 90° Which one of the following sets gives the correct values of the force, stress and change in length of the horizontal member QR ? (a) Compressive force = 25 kN; Stress = 250 kN/m2; Shortening 0.0118 m (b) Compressive force = 141.4 kN/m2; Shortening = 14.4 kN; Stress = 0.0118 m (c) Compressive force = 1000 kN/m²; Shortening = 0.0417 m = 100 kN; Stress (d) Compressive force = 1000 kN/m²; Shortening = 100 kN; Stress = 0.0417 m
Transcribed Image Text:Consider the structural system shown in the figure under the action of weight W. All the joints are hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity (E) are also given in the figure. Let L, A and E be 1 m, 0.05m2 and 30 x 106 N/m2, respectively, and W be 100 kN. A3 L A, E А, Е P opsib er ni/c1 2A, E 45° Q 45° 45° 45° А, E А, Е S 90° Which one of the following sets gives the correct values of the force, stress and change in length of the horizontal member QR ? (a) Compressive force = 25 kN; Stress = 250 kN/m2; Shortening 0.0118 m (b) Compressive force = 141.4 kN/m2; Shortening = 14.4 kN; Stress = 0.0118 m (c) Compressive force = 1000 kN/m²; Shortening = 0.0417 m = 100 kN; Stress (d) Compressive force = 1000 kN/m²; Shortening = 100 kN; Stress = 0.0417 m
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