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- A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. The cross-sectional area of the bronze, aluminum, and steel are 404 mm2, 642 mm2 , and 271 mm2 respectively.Determine the change in length (in mm) of the bar if P = 28943 N.The moduli of elasticity are 80.75 GPa for bronze ,73.14 GPafor aluminum , and 203.66 GPa for steel . Round off the final answer to four decimal places.The compound bar containing steel, bronze, and aluminum segments carries the axial loads shown in the figure. The cross-sectional area of the steel, bronze, and aluminum are 0.75 in2, 1.08 in2, and 0.56 in2 respectively.Determine the change in length (in inches) of the bar if P = 11599 lb.The moduli of elasticity are 30022 ksi for steel ,12071 ksifor bronze, and 10028 ksi for aluminum. Round off the final answer to four decimal places.A composite column is formed by placing a steel bar 20 mm diameter and 200 mm long, inside an alloy cylinder of the same length whose internal and external diameters are 20 mm and 25 mm respectively. The column is then subjected to an axial load of 50 kN. Modulus of elasticity for steel and alloy is 200000MPa and 70000MPa respectively. Which of the following gives the force supported by the steel? a. 12.33 kN b. 62.67 kN c. 41.78 kN d. 8.22 kN
- A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. The cross-sectional area of the bronze, aluminum, and steel are 448 mm2, 622 mm2 , and 265 mm2 respectively.Determine the change in length (in mm) of the bar if P = 27199 N.The moduli of elasticity are 81.82 GPa for bronze ,73.92 GPafor aluminum , and 204.55 GPa for steel .A bar 8.0-ft long has a solid circular cross section with a diameter of d1 = 0.75 in. over one-half of its length and diameter d2 = 0.5 in. over the other half. Young's modulus of elasticity is E = 30,000,000 psi. How much will the bar elongate (in) under a tensile load P = 5,000 lb?A 5 m long steel rod is fixed vertically and loaded with a mass of 500kg which causes the rod to stretch by 5 mm. It has cross-sectionalarea of 50 mm2. Find the modulus of elasticity of the steel rod.A. 98.06 GPa C. 118.06 GPaB. 138.06 GPa D. 158.06 GPa
- Assuming a rectangular simply supported beam loaded as shown in Figure and the height of the beam is fixed by other design considerations, determine the difference in width required for an aluminum beam compared to a steel beam.Actual weight of steel bars = 1.520 kg/m, Standard weight of steel bars (16mm )= 1.579 kg/m, Load at yield point = 3480 kgf ,Load at breaking point = 7540 kgf, Maximum load = 7. 9260 kgf, Unit weight of steel = 7854 kg/m^3. What is the cross-sectional area in m^2? Compute it's yield strength,ultimate strength and breaking strength in MPA?For steel: E = 200 x 109 N/m3 α = 11.7 μm/(m-°C) For aluminum: E = 70 x 109 N/m3 α = 23 μm/(m-°C) SHow your complete solution.
- Determine the moment of inertia (in4) Īx of the area shown with respect to the horizontal line that passes to the centroid of the composite area if b = 6.18 in, h = 0.73 in, L = 8.87 in, and W = 0.8 in. Round off only on the final answer expressed in 3 decimal places.A cylindrical rod of steel (E = 207 GPa),4mm in diameter is to be deformed by atensile force. Determine the force (in N)that will produce an elastic reduction of2.5 x 10-3mm in diameter if Poisson’sratio is 0.30. Show complete solution and formulas used.A rectangular steel section with a base of 200 mm and a depth of 400 mm is used as a beam. 51. Determine the elastic section modulus of the beam (x10^6 mm^3). Determine the plastic section modulus of the beam (x10^6 mm^3). What is the shape factor of the beam?