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- 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.STRENGTH OF MATERIALS. Please show the complete solutions. Rate will be given. Answer in 3 decimal places! The aluminum shaft consists of two segments AB and BC (G=27 GPa). Shaft AB is a solid shaft with a diameter of 60 mm. Shaft BC is a hollow shaft with an outside diameter of 60 mm and an inside diameter d1. If the total angular deformation from A to C is not to exceed 4.30 degrees, solve the value of d2. Express the answer to the nearest even number. Using the value of d1, calculate the amount of shear stress developed in segment BC.ASTEEL ܢܢܝܝܘ ܗ 25 KN ACOPPER a STEEL 2.8 m 3.6 m Three vertical rods of equal distance, each has a diameter of 20mm and supports a load of 25 KN as shown in the figure. Initially, all the rods are adjusted so that they share equal stresses. Neglecting any chance of buckling, and taking Es = 205 GPa and Ec = 100 GPa, determine the final stress in the steel when a further load of 20 KN is added.
- 2. Shown below are pieces of unsaid material. They are combined and locked in each other and a force P is pulling each side. Assuming that the Shear stress for the material is 38 MPa, Determine the force P needed to fracture the materials in shear. 30 mm 30 mm 80 mm Section A-AGIVEN: Bar has a cross-sectional area of 4 in? and is placed between two rigid immoveable supports when it is 30.00 inches long at a temperature of -20°F. REQ’D: A) The stress in the bar at 90°F if it were made of steel. Esteel = 10 x 10° psi asteel = 13 x 106/°F B) The final length of the aluminum barAn aluminum rod is rigidly attached between a steel rod and a bronze as shown. Axial loads are applied at the positions indicated. Find the stress of each rod in MPa. Steel Aluminum Bronze A- 500mm A = 400mm? A- 200mm 40KN 10KN 20KN 1.5m 2.5m 2.0m Determine the change in length of steel rod having a length of 800mm and a diameter of 6.5mm. The rod is subjected to a force P equal to 110KN. Young's Modulus is 200GPA Compute normal strain of the rod
- Q1\ A copper bar consists from three sections: sections 1 is of 25 mm diameter and 60 mm long, section 2 is of 15 mm diameter and 50 mm long and section 3 is 20 mm square and 40 mm long. The bar is subjected to an axial tensile load which induces a stress of 20 MN/m' on the smallest cross section. Determine the total increase in the length of the bar when the load is applied. For copper E=100 GN/m2.1.3 (A). Define the terms shear stress and shear strain, illustrating your answer by means of a simple sketch. Two circuiar bars, one of brass and the other of steel, are to be loaded by a shear load of 30kN. Determine the necessary diameter of the bars (a) in single shear, (b) in double shear, if the shear stress in the two materials must not exceed 50 MN/m² and 100 MN/m? respectively. [27.6, 19.5, 19.5, 13.8 mm.]1) The head H is connected to the cylinder of a compressor using six steel bolts. If the clamping force in each bolt is 4000N, determine the normal strain in the bolts. Each bolt has a diameter of 5 mm. If o₂ = 280 MPa and Est = 210GPa, what is the strain in each bolt when the nut is unscrewed so that the clamping force is released? a) 0.970 b) 0.203 c) 0.970(10-³) d) Insufficient information to determine because the stress is beyond yield point H &
- = 5.29 Knowing that P Q = 480 N, determine (a) the distance a for which the absolute value of the bending moment in the beam is as small as possible, (b) the corresponding maximum normal stress due to bending. (See hint of Prob. 5.27.) THEMOM DV P nedw to absol be500 mm 500 mm pripoly not Alase BOLERON 9T AO mersib anamorp sode bol ng appiled: the batuda Fig. P5.29 edi te ating out A Daniloobo CV. D (5.6b) Q f 12 mm s mas i nadw bozudiruaib ebimnice di Tibe sade 2b2 B (10. busd bus bris to pages. eda sdtlanbi are noe minnas li batalize yo led ditw i most u tamom gaiboedshus en betrovalmisoled loads Dignst Box brol 18 mmThree rods, cach of area 250 mm2, jointly support a 7.5 kN load, as shown in Figure below. Find the stress in each rod. Use Est =200 GPa and Ebe- 83 GPa 2.75 m 25 25 7.5 kN azuog Stee BronzeA compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. Determine the maximum allowable value of P if the change in length of the bar is limited to 2 mm and the working stresses prescribed in the table are not to be exceeded. Material Properties Material Area(mm2) E (GPa) Normal Stress(MPa) Bronze 450 83 120 Aluminum 600 70 80 Steel 300 200 140 Aluminum 3P Bronze Steel 2P 4P - 0.6 m →- 1.0 m 0.8 m