A member consists of three sections. The first part is a pipe with an outside diameter of 60 mm and is 0.6 m long. The second section is a solid bar with a length of 200 mm and a diameter of 80 mm. The third section is a 90 mm square bar with a length of 0.5 m. All these sections are of the same material and E = 200 GPa. A tensile load of 180 kN is applied in the member and causes a total strain of 7,628 x 10^-4. Calculate the inside diameter of the pipe, the total change in length, and the total strain energy in the member.

Physics
A member consists of three sections. The first part is a pipe with an outside diameter of 60 mm and is 0.6 m long. The second section is a solid bar with a length of 200 mm and a diameter of 80 mm. The third section is a 90 mm square bar with a length of 0.5 m. All these sections are of the same material and E = 200 GPa. A tensile load of 180 kN is applied in the member and causes a total strain of 7,628 x 10^-4. Calculate the inside diameter of the pipe, the total change in length, and the total strain energy in the member.

ScanSolve AI Answer

Question 1

Given: Tensile load P=30kN=30×103 NP = 30 kN = 30 \times 10^3 \text{ N} Modulus of Elasticity E=210GPa=210×109 PaE = 210 GPa = 210 \times 10^9 \text{ Pa}

Section 1 (larger diameter): Diameter D=50mm=0.050 mD = 50 mm = 0.050 \text{ m} Length L1=60mm=0.060 mL_1 = 60 mm = 0.060 \text{ m} Area $A_1 = \frac{\pi D^2}{4} = \frac{\pi (0.

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