Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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- 30. An aluminum alloy rod has a circular cross section with a diameter of 8mm. The rod is subjected to a tensile load of 5kN. Assume that the material is in the elastic region and E = 69 GPa. If Poisson's Ratio is 0.33, what will be the lateral strain? E= 6/8 v = -E(lateral)/(axial)arrow_forwardA bar made from aluminum (E = 72 GPa) has a diameter of 12 mm. When the bar is subjected to a tensile axial force P, its diameter is decreased by 0.018 mm. Assume the Poisson’s ratio to be 0.33. Determine the value of loads P and its axial deformation. P = ? N δ = ? mmarrow_forwardA circular bar of magnesium alloy is 390 mm long. The stress-strain diagram for the material is shown in the figure. 70 63 56 49 O (MPa) 42 35 28 21 14 7 0.002 0.004 0.006 0.008 0.01 The bar is loaded in tension to an elongation of 2.34 mm, and then the load is removed. Hint: Use the concepts illustrated in the figures below. (Assume the curve in the figure above is linear between (0, 0) and (0.001, 28), and curves with a gradually decreasing slope otherwise.) F В E F Loading CD Loading Residual Elastic strain recovery (a) What is the permanent set of the bar (in mm)? 2.184 X mm (b) If the bar is reloaded, what is the proportional limit (in MPa)? 55 X MPaarrow_forward
- 2. For the state of stress shown, determine the range of value of for which the normal is equal to or less than 100 MPa and 50 MPa. stress x' + 90 MPa 60 MPa =arrow_forward2. 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_forwardQ3.For the stress state shown below: 300 MPa 100 MPa 100 MPa → 200 MPa 200 MPa - 100 MPa 100 MPa 300 MPa (a) Plot Mohr's circle for the stress state. (b) Calculate the principal stresses and their orientation with respect to ther axis? (c) Using your answer from (b) to help you, plot Mohr's circle for strain.arrow_forward
- I need right solution with clear calculation.arrow_forwardAn aluminum rod is rigidly attached between a steel rod and a bronze rod as shown below. Axial loads are applied at the positions indicated. Find the maximum value of P in Newton that will not exceed a stress in steel of 150 MPa, in aluminum of 87 MPa, or in bronze of 97 MPa.arrow_forwardA thin polymer plate PQR is deformed so that corner Q is displaced downward 0.9 mm to new position Q', as shown in. Determine the shear strain at Q' associated with the two edges (PQ and QR). Assume a = 150 mm, b = 216 mm, c = 180 mm, and A = 0.9 mm. a b P R C Answer: Shear strain y = Q i A X urad.arrow_forward
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