A rigid bar is carried by deformable steel and aluminum rods as shown in the figure. If P = 92 kN, a = 9 m, and b = 2 m, determine the ratio of the axial deformation of steel to aluminum. (no unit) 71 a steel L=3m A=3200 mm^2 E=200 GPa b aluminum L=4m A= 4600 mm^2 E=160 GPa
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- Consider the 1040 carbon steel listed in the textbook's Table 6.1: A 20mm-diameter bar of this alloy is used as a structural member in an engineering design. The unstressed length of the bar is precisely 1m. The structural load on the bar is 1.2×10^5N in tension. What will be the length of the bar under this structural load (in meters)? Values from table: E [GPa (psi)] = 200(29*10^6) Y.S [MPa (ksi)] = 600(87) T.S [MPa (ksi)] = 750(109) Percent Elongation at failure = 17Two blocks of rubber, each 80 mm long by 40 mm wide by 20 mm thick, are bonded to a rigid support mount and to a movable plate (1). When a force P = 2,900 N is applied to the assembly, plate (1) deflects 9 mm horizontally. Determine the shear modulus G of the rubber used for the blocks.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 .
- 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?What pressure is required to reduce the volume of water by 0.6 percent? Bulk modulus of elasticity of water, EB = 2.2 GPa.A cylindrical rod AB has a length ? = 80 cm and a diameterof ? = 2 cm. The modulus of elasticity is ? = 200 GPa andyield strength is ?? = 300 MPa. The stress-strain diagram ofthe rod is shown in the left figure. A force ? = 100 kN isapplied to the bar and then fully removed (right figure).Determine the permanent set in the rod.
- (A) What are the constants? c1 = [c1] c2 = [c2] (B) What are the reactions? RB = [RB] KN RD = [RD] KN MD = [MD] KN-m (C) Describe the deformation at A. Use DIM to calculate the values. Include the sign for your answer. θA = [SLOPE] /EI radians δA = [DEF] /EI mA mild steel wire of radius 0.5 mm and length 3 m is stretched by a force of 49 N. Calculate for the longitudinal stress, longitudinal strain, and elongation produced in the body if Young’s modulus for steel is E = 2.1 x 1011 N/m2. Answers: (6.238 x 107 N/m2, 2.970 x 10-4 m/m, 0.891 mm)STRENGTH OF MATERIALS (NO EXPLANATION NEEDED. THUMBS UP WILL BE GIVEN) For the given system, Member (1) undergoes a linear deformation (in mm) equal to a. 2.4x10^3 b. 2.4 c. 3.6 d. 3.6x10^3
- Consider a 1 m-long bar of 2024-T81 aluminum alloy with a 20mm-diameter and the following property data: E=70GPa Y.S.=410MPa T.S.=480MPa %Elongation at failure=8% What will be the length of the bar under a structural load of 1.2×10^5N in tension? Your answer should be in units of meters (m).A steel rod having a cross sectional area of 250 mm2 and a length of 90 m is suspended vertically from one end. It supports a tensile load of 25 kN at the lower end. The unit mass of steel is 7850 kg.m³ and E = 200GPa. 1. Which of the following gives the elongation of the rod due to self weight mm? a. 3.5 b. 4.3 c. 4.9 d. 2.5 2. Which of the following gives the elongation of the rod due to tensile load at the lower end in mm? a. 65 b. 45 c. 55 d. 50 3. Which of the following gives the total elongation of the rod? a. 48.5 b. 54.3 c. 56.2 d. 42.1A circular bar of magnesium alloy is 750mm long. The stress-strain diagram for the material is shown in the figure. The bar is loaded in tension to an elongation of 6.0mm, and then the load is removed. (a)What is the permanent set of the bar? (b)If the bar is reloaded, what is the proportional limit? (High: Use the concepts illustrated in figures below)