what is the modulus elasticity of 20 mm rod when a 250 MPa stress is exerted the total elastic deformation measured is 0.2mm
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what is the modulus elasticity of 20 mm rod when a 250 MPa stress is exerted the total elastic deformation measured is 0.2mm
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- The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.2. A steel bar, whose cross section is 0.55 inch by 4.05 inches, was tested in tension. An axial load of P = 30,500 lb. produced a deformation of 0.105 inch over a gauge length of 2.05 inches and a decrease of 0.0075 inch in the 0.55-inch thickness of the bar. Determine the lateral strain. * Your answer Determine the axial strain. Your answer Determine the Poisson's ratio v. * Your answer Determine the decrease in the 4.05-in. cross-sectional dimension (in inches). * Your answer
- 2. A steel bar, whose cross section is 0.55 inch by 4.05 inches, was tested in tension. An axial load of P = 30,500 lb. produced a deformation of 0.105 inch over a gauge length of 2.05 inches and a decrease of 0.0075 inch in the 0.55-inch thickness of the bar. * Determine the lateral strain. Your answer Determine the axial strain. Your answer Determine the Poisson's rati v. Your answer Determine the decrease in the 4.05-in. cross-sectional dimension (in inches). * Your answerA steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial load of P = 31,025 lb. produced a deformation of 0.115 inch over a gauge length of 2.10 inches and a decrease of 0.0080 inch in the 0.60-inch thickness of the bar. a. Determine the lateral strain. b. Determine the axial strain. c. Determine the Poisson’s ratio v. d. Determine the decrease in the 4.05-in. cross-sectional dimension (in inches).Determine the strain if stress value is 33 MPa and modulus of elasticity is 80 MPa
- If length of rod is 2 m and a radius of 20 mm is made of high-strength steel. The rod is subjected to a torque T, which produces a shear stress below the proportional limit. If the cross section at one end is rotated 45 degrees in relation to the other end, and the shear modulus G of the material is 90 GPa, calculate the amount of applied torque?A cylindrical specimen of stainless steel having a diameter of 12.8 mm (0.505 in.) and a gauge length of 50.800 mm (2.000 in.) is pulled in tension. Use the load–elongation characteristics shown in the following table to answer the following: a. Plot the data as engineering stress versus engineering strain. b. Compute the modulus of elasticity. 66 c. Determine the yield strength at a strain offset of 0.002. d. Determine the tensile strength of this alloy. e. What is the approximate ductility, in percent elongation? f. Compute the modulus of resilienceA test conducted on a steel bar whose cross section is 0.5 in. by 4 in. is performed. Anaxial load of P = 30,500 lb. produced a deformation of 0.00103 in. over a gauge lengthof 2 in. and a decrease of 0.000078 in. in the 0.5-in. thickness of the bar. Determinea. Poisson’s ratio,b. the elastic modulusc. the decrease in the 4-in. cross-sectional dimension.
- A steel rod with a cross sectional area of 120 (mm) ^2 is stretched between two fixed points. The tensile load at 20°C is 4200N. What will be the stress at-25°C? a=11.7x [10] ^(-6)/°C and E = 200GPA. See figure 06. * Figure 06 120 MPa 130 MPa 140 MPa 150 MPaA cylindrical specimen of stainless steel having a diameter of 12.8 mm (0.505 in.) and a gauge length of 50.800 mm (2.000 in.) is pulled in tension. Use the load–elongation characteristics shown in the following table: (see attached picture) (a) Plot the data as engineering stress versus engineering strain. (b) Compute the modulus of elasticity. (c) Determine the yield strength at a strain offset of 0.002.(d) Determine the tensile strength of this alloy.e) What is the approximate ductility, in percent elongation? (f) Compute the modulus of resilience.PROBLEMS 203. During a stress-strain test, the unit deformation at a stress of 5000 psi Wap ODserved to be 0.000167 in./in. and at a stress of 20,000 psi it was 0.000667 in./in. If the proportional limit is 30,000 psi, what is the modulus of elasticity? What is the stress corresponding to a strain of 0.0002 in./in.? Would these re- sults be valid if the proportional limit were 18,000 psi? Explain. E = 30 X 106 psi; S 6000 psi %3D Ans. 204. A uniform bar of length L, cross-sectional area A, and weight W is sus- WL If pended vertically from one end. Show that its total elongation is & = 2AE wL? its weight per unit volume is w, show also that & 2E A steel rod having a cross-sectional area of sq in. and a length of 600 ft is suspended vertically. It supports a load of 5000 lb at the lower end. If steel 30 X 106 psi, find the total elongation in the rod. Ans. 8 = 2.64 in. 205 weighs 490 lb/cu ft and E Hint: Use the result of Prob. 204. steel wire 30 ft long, hanging vertically, supports a…
