The pin-connected structure consists of a rigid bar ABC, a steel bar (1), and a steel rod (2). The cross-sectional area of bar (1) is 1 in.² and the diameter of rod (2) is 0.63 in. Assume E = 30300 ksi and a = 7x 10-6/°F for both axial members. The bars are unstressed when the structure is assembled at 95°F. After application of a concentrated force of P = 39 kips, the temperature is decreased to 33°F Assume L₁=48 in., L₂=65 in., a-10 in., b=26 in., and c=15 in. Determine: (a) the normal stresses 6₁, 6₂ in bar (1) and rod (2) (tensile is positive, compressive is negative). (b) the normal strains €₁, 2 in bar (1) and rod (2) (positive if stretched, negative if shortened). (c) the vertical deflection vc of the rigid bar at C (positive if downward, negative if upward). (1) 4₁ B b с L₂

The pin-connected structure consists of a rigid bar ABC, a steel bar (1), and a steel rod (2). The cross-sectional area of bar (1) is 1 in.² and the diameter of rod (2) is 0.63 in. Assume E = 30300 ksi and a = 7x 10-6/°F for both axial members. The bars are unstressed when the structure is assembled at 95°F. After application of a concentrated force of P = 39 kips, the temperature is decreased to 33°F Assume L₁=48 in., L₂=65 in., a-10 in., b=26 in., and c=15 in. Determine: (a) the normal stresses 6₁, 6₂ in bar (1) and rod (2) (tensile is positive, compressive is negative). (b) the normal strains €₁, 2 in bar (1) and rod (2) (positive if stretched, negative if shortened). (c) the vertical deflection vc of the rigid bar at C (positive if downward, negative if upward). (1) 4₁ B b с L₂

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

The pin-connected structure consists of a rigid bar ABC, a steel bar (1), and a steel rod (2). The cross-sectional area of bar (1) is 1 in.²
and the diameter of rod (2) is 0.63 in. Assume E = 30300 ksi and a = 7 x 10-6/°F for both axial members. The bars are unstressed
when the structure is assembled at 95°F. After application of a concentrated force of P = 39 kips, the temperature is decreased to 33°F.
Assume L₁=48 in., L₂=65 in., a-10 in., b=26 in., and c=15 in. Determine:
(a) the normal stresses 01, ₂ in bar (1) and rod (2) (tensile is positive, compressive is negative).
(b) the normal strains 1, 2 in bar (1) and rod (2) (positive if stretched, negative if shortened).
(c) the vertical deflection vc of the rigid bar at C (positive if downward, negative if upward).
Answers:
(a) 0₁:
(b) ₁ =
(c) vc=
(1)
=
L₁
i
i
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C
b
(2)
ksi, 0₂
με, €2 =
in.
=
i
i
L2
ksi.
με
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