the stress compressive. What would be the final temperature when heating starts at 20degC? The E of copper wire is 110GPa, the original stress was 70MPa and the coefficient of linear expansion is 1.7x10-7/degC. 39degC 19degC 1degC 20degC
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- A copper rod with 0.15 cm diameter is enclosed by a steel tube that has an outside diameter of 0.3 cm and an internal diameter of 0.2 cm. The assembly is fixed at each end. Determine the stresses in the rod and tube if the temperature is at 220oC; at 10oC, there is no longitudinal stress. Based on laboratory results for steel, E = 2.1 x 105 N/mm2, a = 11x10-6/oC, and for copper, E = 1 x 105 N/mm2, a = 18x10-6/oC10-m-long steel rails of a railroad track (Es = 200 GPa and αs = 11.7 × 10-6/°C) were laid at a temperature of 6°C. Determine the normal stress in the rails when the temperature reaches 48°C, assuming that the rails are welded to form a continuous track. The normal stress in the rails is _____ MPa.Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a material having a Young's modulus E = 120 Gpa anda Poisson's ratio of 0.33. If a tensile force F is subjected to that rod cross-section, the diameter becomes 4.995 mm. determine the applied force F.
- A torque T is applied, as shown in Fig. P-321, to a solid shaft with built-in ends. Prove that the resisting torques at the walls are T1 = Tb/L and T2 = Ta/L. How would these values be changed if the shaft were hollow? (please state given and required)An aluminum rod (E = 70 GPa, α =23.6 x 10-6/°C) and steel link (E = 200 GPa, α = 11.7 x 10-6/°C) have the dimensions shown at a temperature of 20oC. The steel link is heated until the aluminum rod can befitted freely into it. The temperature of the whole assembly is then raised to 150°C. Determine the final stress in the rod and in the link.Four steel bars jointly support a mass of 25 x 103 kg. Initially the temperature is 250C. Bars A and D have a cross-sectional area of 480 mm2. For bars B and C, the cross-sectional area is 360 mm2. Determine the elongation of bar A when the temperature becomes 600C. Also, find the axial stress developed in bar C. Use E = 200 GPa and α = 11.7 x 10-6 m/ (m0C). (Please provide detailed solution with FBD thank you) δA = ? mm σC = ? MPa
- A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion BC is made of steel (Es = 29 × 106 psi and αs = 6.5 × 10-6/°F) and portion AB is made of aluminum (Ea = 10.4 × 106 psi and αa = 13.3 × 10-6/°F). The rod is initially unstressed before a temperature rise of 74°F. Determine the normal stress induced in portions AB and BC due to the temperature rise. The normal stress induced in portion AB is ___ ksi. The normal stress induced in portion BC is___ ksi.member in a machine is filleted as shown in the figure. The member dimensions are D = 1.300 in, d = 1.000 in, h = 0.125 in, and r = 0.125 in. The member is made of steel with Sut = 45 ksi. The corrected fatigue strength of the member is 30 ksi. Determine the number of life cycles for an alternating stress of 30 ksi. Select one: a. N = 6.99E+04 b. N = 2.56E+04 c. N = 1.66E+05 d. N = 1.00E+06A steel railroad track (E=200GPa, α=11.7x10^-6/°C) was laid out at a temperature of -6°C. Determine the normal stress in the rail when the temperature reaches 48°C. Assuming that the rails (a) are welded to form a continuous track (b) are 10m long with 3mm gaps between them.
- The principal stresses at a point P in a solid are 70 MPa, -70 MPa and 0. The yield stress of the material is 100 MPa. Which prediction(s) about material failure at P is/are CORRECT? (a) Maximum normal stress theory predicts that the material fails (b) Maximum shear stress theory predicts that the material fails (c) Maximum normal stress theory predicts that the material does not fail (d) Maximum shear stress theory predicts that the material does not failTwo rods are connected to each other and are restrained at top and bottom. The top portion is steel with modulus of elasticity equal to 200x10^3 MPa and coefficient of thermal expansion equal to 11.7x10^-6/C, the bottom is made up of brass with modulus of elasticity equal to 105x10^3 MPa coefficient of thermal expansion equal to 20.9x10^-6/"C. The temperaturé rose to 50°C from normal condition introducing stresses in the bar. Determine the force induced in the bar. Note: Final Answer in 4 decimal places.Let’s consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a material having a Young’s modulus E = 200 Gpa and a Poisson’s ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 5.998 mm. determine the applied force F.