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Q19: If the ultimate shear strength of the pin ksi and a factor of safety of 2.5 is required, c required pin diameter (in inches) at node C. problem statement for details about the con

Q19: If the ultimate shear strength of the pin ksi and a factor of safety of 2.5 is required, c required pin diameter (in inches) at node C. problem statement for details about the con

Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...
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• 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.)
Transcribed Image Text:• 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.)
Q19: If the ultimate shear strength of the pin material at node C is 56 ksi and a factor of safety of 2.5 is required, determine the minimum required pin diameter (in inches) at node C. Refer to the diagram in the problem statement for details about the connection at node C.
Transcribed Image Text:Q19: If the ultimate shear strength of the pin material at node C is 56 ksi and a factor of safety of 2.5 is required, determine the minimum required pin diameter (in inches) at node C. Refer to the diagram in the problem statement for details about the connection at node C.
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ISBN:
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Barry J. Goodno, James M. Gere
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