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
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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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