A bar, 12 mm in diameter, is acted upon by an axial load of 20 kN. The change in diameter is measured as 0.003 mm. Determine (i) the Poisson's ratio (ii) the modulus of elasticity and the bulk modulus The value of the modulus of rigidity is 80 GPa.
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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.A compound bar consists of (4) aluminum alloy bars of (2mm) diameter and (2) steel bars of (3mm) diameter. Determine the followings: 1- The stresses in each material when a compressive force of 70 kN is applied on the compound bar and the temperature is changed from 20 °C to 40 °C. 2- The compound modulus of elasticity (Ec). Knowing that : E=200GN/m² E=70 GN/m² and a=11×10% per °C and a=22×10 per °C for Steel for Aluminum AlloyDetermine the a.Stress at 167 kN loadin MPa b.Strain at 167 kN loadin mm/mm(expressed in scientific notation) c.Modulus of elasticityMPa d.Modulus of resiliencein N-mm/mm3 e.Modulus of toughnessin N-mm/mm3
- 4) The acrylic plastic rod is 200 mm long and 15 mm in diameter. If an axial load of 250 N is applied to it, determine the change in its length and the change in its diameter. Assume the elastic modulus, E, is 2.24 GPa, and the shear modulus, G, is 870 MPa. 250 N 200 mm 250 NQUESTION 3 The assembly consists of three steel rods and a horizontal bar BED. The structure supports a 36 kN load P located at middle of bar BED. Each of the rod AB and CD has a cross-sectional area of 200 mm² and rod EF has a 625 mm². Modulus of elasticity for steel is 200 GPa. Determine: (a) The change in length of rod EF. (b) The stress in each rod. 500 mm 400 mmAt the proportional limit, the axial load of a 0.70-in-diameter bar was 5400 lb. A 2.20-in. gauge length on the bar has increased by 0.0040 inch. a) Determine the strain in the bar.b) Determine the elastic modulus (in ksi)
- Q2/ A metal rod of cross-sectional area 100 mm 2 carries a maximum tensile load of 20 kN. The modulus of elasticity for the material of the od is 200 GPa. Determine the percentage strain when the rod is carrying its maximum load.y 400 mm 4 mm B 200 mm A 6 mm The rectangular plate is subjected to the deformation shown by the dashed line. Determine the average shear stress in the plate if the shear modulus of the material is 2 MPa. Express your answer in kPa and round it to the nearest integer if necessary.The failure stress of a homogeneous steel bar having a diameter of 10 mm is 250 MPa. Using a factor of safety of 2.0 and if the elastic mođulus and length of the bar is 200 GPa and 2 m respectively, calculate the elongation in mm of the bar corresponding to the maximum load it can support. (А) 5 (в) 2.5 1.25 D) 0.625
- Situation 1: A rigid bar ABC weighs 10 kN/m. The compressive stress of the copper bar is 20 MPa. Answer the following questions: 3m B 2 m Copper L=3m A = 1500 mm² Brass C L = 2 m A = 1200 mm² A. What is the stress of the brass bar? Indicate if it will experience tension (T) or compression (C) (MPa) B. What is the minimum required diameter of the pin at A assuming that the pin connection is in double shear? Consider the allowable shearing stress of the pin as 15 MPa. Round your answer in a multiple of 5. (mm)CLO 1: A rigid beam rests on two bronze bars 700 mm long. Another aluminum bar is placed between them which is 699.93 mm long. If the weight of the beam is 375 KN, determine the stress in the aluminum bar (in MPa). Bronze Bronze Alum Alum Bronze A in mm2 850 1500 E in Gpa 70 83 103.56 O 79.45 451.30 33.47A high-strength steel bar used in a large crane has a diameter d = 3.00 in. (see figure). Ⓡ The steel has a modulus of elasticity E = 29 x 105 psi and Poisson's ratio is y = 0.27. Because of clearance requirements, the diameter of the bar is limited to 3.002 in. when it is compressed by axial forces. What is the largest compressive load Pmax that i permitted? Assume that the material behaves linearly elastically. (Enter the magnitude in lb.) lb