• Bars (1) have a cross-sectional area of A₁ = 0.65 in.2 and a length, L₁= 7 ft.• Bars (1) are made of cast iron with an elastic modulus of E₁ = 24,000 ksi, a coefficient of thermal expansion, a₁ = 12.3 x 10-6/°F and yield strength of oy = 120 ksi.• Bar (2) has a cross-sectional area of A₂ = 1.45 in.² and a length, L₂ = 5.5 ft.• Bar (2) is made of stainless steel with a coefficient of thermal expansion, a₂ = 10.6 × 10-6/°F.• The stress-strain diagram provided below presents the results of the stainless steel's (i.e., Bar (2)) bar tension test.• There is a gap of A = 0.1 in. in the connection at B and a = 3 ft.• All bars are unstressed before a load P = 12 kips is applied and the temperature increases by AT = 40°F.Stress-strain diagram for stainless steel bar:(1)aStress (ksi)L2Rigid bar12010080604020000B(2)Pa(1)CUpper scaleL₁Connection detailsat node CLower scale.C0.025 0.050 0.075 0.100 0.125 0.150 0.1750.006 0.008 0.010 0.012 0.0140.002 0.004Strain (in./in.) Q16: Assuming the elasticity modulus of the stainless steel bar is E =28,000 ksi, determine the normal stresses in rod 1 (0₁) in ksi.

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Engineering

Mechanical Engineering

determine the normal stresses in rod 1 (0₁) in

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

• Bars (1) have a cross-sectional area of A₁ = 0.65 in.2 and a length, L₁= 7 ft.
• Bars (1) are made of cast iron with an elastic modulus of E₁ = 24,000 ksi, a coefficient of thermal expansion, a₁ = 12.3 x 10-6/°F and yield strength of oy = 120 ksi.
• Bar (2) has a cross-sectional area of A₂ = 1.45 in.² and a length, L₂ = 5.5 ft.
• Bar (2) is made of stainless steel with a coefficient of thermal expansion, a₂ = 10.6 × 10-6/°F.
• The stress-strain diagram provided below presents the results of the stainless steel's (i.e., Bar (2)) bar tension test.
• There is a gap of A = 0.1 in. in the connection at B and a = 3 ft.
• All bars are unstressed before a load P = 12 kips is applied and the temperature increases by AT = 40°F.
Stress-strain diagram for stainless steel bar:
(1)
a
Stress (ksi)
L2
Rigid bar
120
100
80
60
40
20
0
0
0
B
(2)
P
a
(1)
C
Upper scale
L₁
Connection details
at node C
Lower scale.
C
0.025 0.050 0.075 0.100 0.125 0.150 0.175
0.006 0.008 0.010 0.012 0.014
0.002 0.004
Strain (in./in.)

Q16: Assuming the elasticity modulus of the stainless steel bar is E =
28,000 ksi, determine the normal stresses in rod 1 (0₁) in ksi.

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