Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 24-in.-long bronze [E = 16100 ksi] bar with a cross-sectional area of 1.18 in.2. Bar (2) is a 40-in.-long aluminum alloy [E = 9400 ksi] bar with a cross-sectional area of 2.03 in.2. Assume L1=24 in., L2=40 in., a=31 in., b=41 in., and c=12 in. Both bars are unstressed before the load P is applied. If a concentrated load of P = 36 kips is applied to the rigid bar at D, determine:(a) the normal stresses σ1σ1, σ2σ2 in bars (1) and (2).(b) the downward deflection vD of point D on the rigid bar. (2)L2BD|L1(1)Answers:( a) σι -ksi, o2 =iksi(b) vD-iin.

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Answered: (2) L2 A B C D |L1 (1) Answers: (a) o1…

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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Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 24-in.-long bronze [E = 16100 ksi] bar with a cross-sectional area of 1.18 in.². Bar (2) is a 40-in.-long aluminum alloy [E = 9400 ksi] bar with a cross-sectional area of 2.03 in.². Assume L₁=24 in., L₂=40 in., a=31 in., b=41 in., and c=12 in. Both bars are unstressed before the load P is applied. If a concentrated load of P = 36 kips is applied to the rigid bar at D, determine:
(a) the normal stresses σ1σ1, σ2σ2 in bars (1) and (2).
(b) the downward deflection v_D of point D on the rigid bar.

(2)
L2
B
D
|L1
(1)
Answers:
( a) σι -
ksi, o2 =
i
ksi
(b) vD-
i
in.

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