In a tensile test, a test piece of 25 mm diameter is tested over a gauge length of 125 mm. The elongation over this length is 0.0875 mm under a pull of 68,725 N. In a torsion test, a test piece was made of the same material and of same diameter and it twisted 0.025 rad. Over a length of 250 mm at a torque of 0.3068 kNm. Find Poisson's ratio and three elastic modulii of the test piece material.
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- A tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are, shown in Table: 1.5.1. a. Prepare a table of stress and strain. b. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them. c. Determine the modulus of elasticity as the slope of the best-fit line.The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.A tensile test was performed on a metal specimen having a circular cross section with a diameter of 1 2 inch. The gage length (the length over which the elongation is measured) is 2 inches. For a load 13.5 kips, the elongation was 4.6610 3 inches. If the load is assumed to be within the linear elastic rang: of the material, determine the modulus of elasticity.
- A tensile test was performed on a metal specimen with a diameter of 1 2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The dam were plotted on a load-displacement graph. P vs. L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/L =1392 kips/in. What is the modulus of elasticity?A copper rod of length L = 18.0 in. is to betwisted by torques T (see figure) until the angle ofrotation between the ends of the rod is 3.08.(a) If the allowable shear strain in the copper is0.0006 rad, what is the maximum permissiblediameter of the rod?(b) If the rod diameter is 0.5 in., what is theminimum permissible length of the rod?In a tensile test, a test piece of 25 mm diameter is tested over a gauge length of 125 mm The elongation over this length is 0.0875 mm under a pull of 68725 N. In a torsion test, a test piece was made of the same material and of same diameter, and it twisted 0.025 radians over a length of 250 mm at a torque of 0.3068 kN-m. Find Poisson's ratio and the three elastic modulis of the test piece material
- A 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.Question 4 A 100mm diameter solid aluminium post is subjected to a bending moment of 2KNm, and a concentrated torque of 4kNm, and an axial tensile concentrated force of 100kN as shown in Figure Q4. (a) Determine the factor of safety if the von Mises (maximum distortion energy) criterion is considered (the yield stress in simple tension is 200MN/m²). (b) Without further calculations, suggest how this problem could be solved using other relevant failure criteria, considering (i) a brittle material and (ii) a ductile material with relevant examples of each. 2kNm b Figure Q4 4kNm 100KNA load P is applied to a steel component which is supported an aluminum plate into which a 12 mm diameter hole has been drilled. Knowing that the maximum allowable shearing stress is 86.5 MPa in the steel and 160 MPa in the aluminum plate, determine the largest load which may be applied to the steel component. Provide your answer in kN with precision to two decimal points. 10 mm Answer: 12 mm 40 mm P 8 mm
- An alloy steel specimen of 30 mm diameter with a gauge length of 200 mm is load tested. It has extension of 0.16 mm under a load of 85 kN. Load at elastic limit is 160 kN. Young's modulus of the specimen in GPa O 127 O 143 O 150 O 172A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in the figure. Axial loads are applied at the positions indicated. If P 4000 Ib and the cross-sectional area of the rod is 1.0 sq.in. What is %3D the stress in the bronze? (in ksi) Note: indicate sign (no sign means positive/tenslon) 4P Steel Bronze Aluminum 2 ft 3 ft 2.5 ftA circular copper rod having length of P inches is to be twisted by torques 6.5P lb.in until the angle of rotation between the ends of the rod is 3.0°. If the allowable shear strain in the copper is 0.0006 radians, solve for the maximum permissible diameter of the rod? (Where P is 27