Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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- A steel alloy specimen having a rectangular cross section of dimensions 19.1 mm x 3.1 mm (0.7520 in. × 0.1220 in.) has the stress-strain behavior shown in the Animated Figure 6.22b. If this specimen is subjected to a tensile force of 98290 N (22100 Ib;) then (a) Determine the amount of elastic strain induced. (b) Determine the amount of plastic strain induced. (c) If its original length is 610 mm, what will be its final length after this force is applied and then released? The elastic modulus for steel is 207 GPa. (a) i (b) i (c) i mmarrow_forward1.5-7 The data shown in the table were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2 in.² in area and a gage length (the length over which the elongation is measured) of 2.000 inches. 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. Load (kips) 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 50 6.0 6.5 Elongation × 10³ (in.) 0 0.160 0.352 0.706 1.012 1.434 1.712 1.986 2.286 2.612 2.938 3.274 3.632 3.976 Load (kips) 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13 Elongation × 10³ (in.) 4.386 4.640 4.988 5.432 5.862 6.362 7.304 8.072 9.044 11.310 14.120 20.044 29.106arrow_forwardThe modulus of elasticity is measured as the secant for a stress at: a) 30% b) 45% c) 25% d) 40%arrow_forward
- Stress (MPa) 2000 Using the stress-strain results shown in the figure, determine the 0.2% offset yield strength and the strain at the onset of necking. Indicate both on the graph and write the value along with units in the space provided. MPa 2000 1000 1000 0.000 0.005 0.010 0.015 Strain 0 0.000 0.020 0.040 0.060 0.080 Strain 100 300 Yield Strength units: 200 Stress (10³ psi) Strain at the onset of necking: units:arrow_forwardCalculate the stress from a 0.3498 in. diameter tensile specimen yielding at 4.407 kips 46.0 ksi 30.6 ksi 33.4 ksi 45.9 ksiarrow_forwardA 5-mm-thick rectangular alloy bar is subjected to ajtensile load P by pins at A and B, as shown in the figure. The width of the bar is w = 33 mm. Strain gages bonded to the specimen measure the following strains in the longitudinal (x) and transverse (y) directions: €, =710 με and ε,--255 με (a) Determine Poisson's ratio for this specimen. (b) If the measured strains were produced by an axial load of P = 24 kN, what is the modulus of elasticity for this specimen? Answers: (a) v= (b) E= GPaarrow_forward
- I need typing answer urgentarrow_forward(c) A piece of material is subjected to tensile stress of 70 N/mm² in one direction and a compressive stress of 50 N/mm² in a direction at right angles to the previous one. Find fully the stresses on a plane the normal of which makes an angle of 40 degree with the 70 N/mm² stress.arrow_forwardDuring a tension test, measurements for the applied load and the corresponding elongation are taken at frequent intervals. These data points are then used to: a. calculate the stress caused by the applied load at each data point. b. calculate the strain in the specimen induced by the applied load at each data point. c. plot a stress-strain diagram. d. all of the abovearrow_forward
- 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 answerarrow_forwardA steel specimen is tested in tension. The specimen is 25 mm wide by 12.5 mm thick in the test region. By monitoring the load dial of the testing machine, it was found that the specimen yielded at a load of 160 kN and fractured at 214 kN. a. Determine the tensile stress at yield and at fracture. b. If the original gauge length was 100 mm, estimate the gauge length when the specimen is stressed to 1/2 the yield stress.arrow_forwardA tension test is being conducted on a steel-rod specimen with a gauge length of L0=2 in and initial diameter of d0=0.5 in. Data were collected to form the conventional stress-strain diagram as shown. From the diagram, f = 74.0 ksi, e = 104.0 ksi , g = 85.0 ksi , and h = 0.15 in/in. Assuming that the strain remains constant throughout the region between the gauge points, determine the nominal strain ε experienced by the rod if it is elongated to L = 2.7 in . Assuming that the stress is constant over the cross-sectional area and if the tension force used is P = 11.0 kips, find the nominal stress experienced by the rod. Determine the force P needed to reach the ultimate stress in the steel-rod specimen.arrow_forward
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