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- A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressureSolve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .
- The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?For a given material, Young’s modulus is 100GPa and shear modulus is 40GPa. Find the bulk modulus and lateral contraction of a round bar of 40mm diameter and 2.5 m long when stretched 2.5 mm.A plastic bar of 53 mm is to be twisted by torques T until the angle of rotation between the ends of the bars is 9 degree. If the allowable shear strain in the plastic is 0.018 radian, what is the minimum permissible length of the bar in mm?
- A plastic bar of 88 mm is to be twisted by torques T until the angle of rotation between the ends of the bars is 80. If the allowable shear strain in the plastic is 0.014 radian, what is the minimum permissible length of the bar in mm?A wire with a Young’s Modulus, E, of 8.5 x 106 N/m2 and an original length of 1.5 mis under tension. If the wire length extension is 2.5 mm, calculate the stress in thewire. Give your answer in N/m2to 2 decimal places.A sheet metal cutting machine cuts the sheet metal via shear force, V as shown in Fig. 1. The crosssection of sheet metal is rectangular with width, b = 3m and thickness, d = 5mm. The sheet metal ishaving yield strength σy = 220 MPa; Young’s modules, E = 200 GPa and Poisson’s ratio, ν = 0.3.Conduct the following analyses at the state of stress when maximum stress reaches σy and beforeshearing commences. (Need answer Question c) & d) c. Sketch the YIELD LOCI for both cases above. d. As a sheet-metal engineer, which failure criterion in (b) will you use to determine the cuttingshear force? Explain the reason for your answer.
- What is the ratio of Young's modulus to the Shear modulus if the Poisson’s ratio is 0.5?The area of the upper face of a rectangular block is .5mx.5m The lower face is fixed. The height of the block is 1cm. A shearing force applied to the top face produces a displacement of 0.015mm. Find the strain, stress and shearing force. Modulus of rigidity 4.5 x 10¹0 N/m². **Need asap pls. Thank you.If the shear stress in a material is 20 MPa and the corresponding shear strain is 0.0005, calculate the shear modulus of the material.