Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 30-in.-long bronze [E = 15900 ksi a = 9.4 x 10-6/°F] bar with a cross-sectional area of 1.00 in.?. Bar (2) is a 48-in-long aluminum alloy [E = 9200 ksi, a = 12.6 x 10-6/°F] bar with a cross-sectional area of 2.50 in.?. Both bars are unstressed before the load Pis applied. Assume L1-30 in., L2-48 in., a-32 in., b-44 in., and c-14 in. If a concentrated load of P - 29 kips is applied to the rigid bar at Dand the temperature is decreased by 120°F, determine: (a) the normal stresses in bars (1) and (2). (b) the normal strains in bars (1) and (2). (c) the deflection of the rigid bar at point D. (2) L2 A B D L1 VP (1)

Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 30-in.-long bronze [E = 15900 ksi a = 9.4 x 10-6/°F] bar with a cross-sectional area of 1.00 in.?. Bar (2) is a 48-in-long aluminum alloy [E = 9200 ksi, a = 12.6 x 10-6/°F] bar with a cross-sectional area of 2.50 in.?. Both bars are unstressed before the load Pis applied. Assume L1-30 in., L2-48 in., a-32 in., b-44 in., and c-14 in. If a concentrated load of P - 29 kips is applied to the rigid bar at Dand the temperature is decreased by 120°F, determine: (a) the normal stresses in bars (1) and (2). (b) the normal strains in bars (1) and (2). (c) the deflection of the rigid bar at point D. (2) L2 A B D L1 VP (1)

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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Concept explainers

Dependence on mechanical properties

The mechanical properties of materials are those structures that include the reaction to the load used. Metal switching features determine the scope of the usefulness of the content and establish the expected service life. Machine structures are also used to help distinguish and identify material objects. The most common mechanical properties considered are strength, ductility, stiffness, impact resistance, and resilience to fractures.

Question

Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 30-in.-long bronze [E = 15900 ksi
a = 9.4x 10-6/°F] bar with a cross-sectional area of 1.00 in.?. Bar (2) is a 48-in-long aluminum alloy [E = 9200 ksi, a = 12.6 x
10-6/°F] bar with a cross-sectional area of 2.50 in.?. Both bars are unstressed before the load Pis applied. Assume L4=30 in., L2=48
in., a-32 in., b=44 in., and c=14 in. If a concentrated load of P = 29 kips is applied to the rigid bar at Dand the temperature is
decreased by 120°F, determine:
(a) the normal stresses in bars (1) and (2).
(b) the normal strains in bars (1) and (2).
(c) the deflection of the rigid bar at point D.
(2)
L2
A
B
D
L1
(1)
b

Determine the normal stress in each bar. Use positive if tensile, negative if compressive.
Answers: o1 =
i
! ksi, 02 =
i
! ksi.
Determine the normal strain in bars (1) and (2). Use positive if tensile, negative if compressive.
Answers: €1
i
με, ε
i
με.
Determine the deflection of the rigid bar ABCD at point C. A positive deflection is down.
Answer: Vc =
i
in.
Determine the deflection of the rigid bar ABČD at point D. A positive deflection is down.
Answer: VD = i
in.

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