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MindTap Construction for Spence/Kultermann's Construction Materials, Methods and Techniques, 4th Edition, [Instant Access], 4 terms (24 months)
4th Edition
ISBN: 9781305635289
Author: William P. Spence; Eva Kultermann
Publisher: Cengage Learning US
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Chapter 16, Problem 1RQ
To determine
The comparison of specific gravity of aluminium with that of steel.
Expert Solution & Answer
Answer to Problem 1RQ
The specific gravity of aluminium is approximately one-third of steel.
Explanation of Solution
Aluminium is a material which is commonly used in construction industry. It is lightweight and has a specific gravity 2.7 times that of water and approximately one-third when compared to steel. Pure aluminium has a lower melting point when compared to different structural metals.
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The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 75 GPa] with a
cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 109 GPa] with a cross-sectional area of A₂ = 410 mm². Assume
L₁=2.6 m, L₂-3.3 m, a=0.7 m, b=1.5 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 4.5-mm
clearance in the pin connection at A. If a load of P = 45 kN is applied at B, determine:
(a) the normal stresses σ1,02, in both bars (1) and (2).
(b) the normal strains €1, €2, in bars (1) and (2).
(c) determine the downward deflection VA of point A on the rigid bar.
(1)
Answers:
a
(a) σ1
=
(b) E₁ =
(C) VA = i
i
i
ล
B
C
L2
b
C
MPa, σ =
i
με, Ε2
i
mm.
MPa.
με
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 79 GPa] with a
cross-sectional area of A₁ = 780 mm². Bar (2) is a bronze alloy [E = 104 GPa] with a cross-sectional area of A₂ = 460 mm². Assume
L₁=1.6 m, L₂-2.1 m, a=0.6 m, b=1.8 m, and c-1.3 m. All bars are unstressed before the load P is applied; however, there is a 4-mm
clearance in the pin connection at A. If a load of P = 58 kN is applied at B, determine:
(a) the normal stresses 01,02, in both bars (1) and (2).
(b) the normal strains €1,2, in bars (1) and (2).
(c) determine the downward deflection VA of point A on the rigid bar.
(1)
L₁
B
Answers:
(a)σ =
b
ล
L2
C
D
i
MPa, σ1 =
i
MPa.
με, Ε2 =
i
με.
(b) €1
=
i
(C) VA =
i
mm.
A load of P = 114 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 116 GPa] rods, and a solid
steel [E=192 GPa] rod, as shown. The bronze rods (1) each have a diameter of 19 mm and they are symmetrically positioned relative
to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied;
however, there is a 1.5-mm clearance in the bolted connection at B. Assume L₁ = 2.4 m and L₂ = 1.5 m. Determine:
(a) the normal stresses in the bronze and steel rods (01, 02).
(b) the downward deflection of rigid bar ABC.
(1)
Answers:
L2
(a) σ1
(b) v =
=
i
i
B
(1)
MPa, 02
mm.
=
i
MPa.
Chapter 16 Solutions
MindTap Construction for Spence/Kultermann's Construction Materials, Methods and Techniques, 4th Edition, [Instant Access], 4 terms (24 months)
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