Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 5, Problem 28CQ
To determine
The parameter used to determine the enthalpy of interaction for polymer blends.
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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 5 Solutions
Materials Science And Engineering Properties
Ch. 5 - Prob. 1CQCh. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQ
Ch. 5 - Prob. 11CQCh. 5 - Prob. 12CQCh. 5 - Prob. 13CQCh. 5 - Prob. 14CQCh. 5 - Prob. 15CQCh. 5 - Prob. 16CQCh. 5 - Prob. 17CQCh. 5 - Prob. 18CQCh. 5 - Prob. 19CQCh. 5 - Prob. 20CQCh. 5 - Prob. 21CQCh. 5 - Prob. 22CQCh. 5 - Prob. 23CQCh. 5 - Prob. 24CQCh. 5 - Prob. 25CQCh. 5 - Prob. 26CQCh. 5 - Prob. 27CQCh. 5 - Prob. 28CQCh. 5 - Prob. 29CQCh. 5 - Prob. 30CQCh. 5 - Prob. 31CQCh. 5 - Prob. 32CQCh. 5 - Prob. 33CQCh. 5 - Prob. 34CQCh. 5 - Prob. 35CQCh. 5 - Prob. 36CQCh. 5 - Prob. 1ETSQCh. 5 - Prob. 2ETSQCh. 5 - Prob. 3ETSQCh. 5 - Prob. 4ETSQCh. 5 - Prob. 5ETSQCh. 5 - Prob. 6ETSQCh. 5 - Prob. 7ETSQCh. 5 - Prob. 8ETSQCh. 5 - Prob. 9ETSQCh. 5 - Prob. 10ETSQCh. 5 - Prob. 11ETSQCh. 5 - Prob. 12ETSQCh. 5 - Prob. 1DRQCh. 5 - Prob. 2DRQCh. 5 - Prob. 3DRQCh. 5 - Prob. 5.1PCh. 5 - Prob. 5.2PCh. 5 - Prob. 5.3PCh. 5 - Prob. 5.4PCh. 5 - Prob. 5.5PCh. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - Prob. 5.10PCh. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - Prob. 5.14PCh. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Prob. 5.17PCh. 5 - Prob. 5.18PCh. 5 - Prob. 5.19P
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- 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 = 2.4m 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: (a)σ1 = (b) vi L2 (2) (1) B P mm. Li MPa, 02 MPa. =arrow_forwardA high-density polvethelene (HD PE I9 - 780 MPaiy = 0.46 rod has a diameter of 70 mm before load Pis applied. In order to maintain certain clearances, the diameter of the rod must not exceed 72 mm when loaded. What is the largest permissible compressive load P that can be applied to the HDPE rod?arrow_forwardCurrent Attempt in Progress A load of P 117 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E= 83 GPa] rods, and a solid steel [E 182 GPa] rod, as shown. The bronze rods (1) each have a diameter of 20 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 26 mm. All bars are unstressed before the load Pis applied; however, there is a 3.4-mm clearance in the bolted connection at B. Assume L₁ = 3.3 m and L2 = 1.6 m. Determine: (a) the normal stresses in the bronze and steel rods (01, 02). (b) the downward deflection v of rigid bar ABC. (1) Answers: L2 (2) (1) B P (a) σ = (b) y = eTextbook and Media Save for Later MPa. MPa, 02 = mm. Attempts: 0 of 5 used Submit Answerarrow_forward
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