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Q15: Using the stress-strain diagram for the stainless steel bar shown in the problem statement, calculate the stainless steel bar's modulus of elasticity, E (in ksi). (Note: Make sure to show your work.)

Q15: Using the stress-strain diagram for the stainless steel bar shown in the problem statement, calculate the stainless steel bar's modulus of elasticity, E (in ksi). (Note: Make sure to show your work.)

Elements Of Electromagnetics
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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Q15: Using the stress-strain diagram for the stainless steel bar shown in the problem statement, calculate the stainless steel bar's modulus of elasticity, E (in ksi). (Note: Make sure to show your work.)
Transcribed Image Text:Q15: Using the stress-strain diagram for the stainless steel bar shown in the problem statement, calculate the stainless steel bar's modulus of elasticity, E (in ksi). (Note: Make sure to show your work.)
• 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.)
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