If the shear stress in a material is 20 MPa and the corresponding shear strain is 0.0005, calculate the shear modulus of the
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If the shear stress in a material is 20 MPa and the corresponding shear strain is 0.0005, calculate the shear modulus of the material.
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- The longitudinal strain in a cylindrical bar of diameter 20mm and length 2.5m during the tensile stress is 3 times the lateral strain. Calculate the modulus of rigidity, bulk modulus and also find the change in volume when the bar is subjected to hydrostatic pressure of 150MPA. Take E = 150GPA.Tensile test specimens are extracted from the "X" and "y" directions of a rolled sheet of metal. "x" is the rolling direction, "y" is transverse to the rolling direction, and "z" is in the thickness direction. Both specimens were pulled to a longitudinal strain = 0.15 strain. For the sample in the x-direction, the width strain was measured to be ew= -0.0923 at that instant. For the sample in the y-direction, the width strain was measured to be gw=-0.1000 at that instant. The yield strength of the x-direction specimen was 50 kpsi and the yield strength of the y-direction specimen was 52 kpsi. Determine the strain ratio for the x direction tensile test specimen. Determine the strain ratio for the y-direction tensile test specimen. Determine the expected yield strength in the z-direction. Give your answer in units of kpsi (just the number). If the sheet is plastically deformed in equal biaxial tension (a, = 0, to the point where & = 0.15, calculate the strain, 6, that would be expected.A light wire 1.75 m long has a cross-sectional area of 2.3 mm². It is hung vertically and stretches 0.31 mm when a 10.0 kg block is attached to it. Find the stress, the strain and the Young's modulus for the wire. Take the acceleration due to gravity to be 9.80 ms Give your answers correct to two significant figures. Stress = MPa. Strain = Young's modulus = GPa.
- In a sheet metal of 2 mm thickness, a hole of 10 mm diame- ter needs to be punched. The yield strength in tension of the sheet material is 100 MPa and its ultimate shear strength is 80 MPa. The force required to punch the hole (in kN) isA specimen of titanium alloy is tested in torsion and the shear stress–strain diagram is shown in Fig.a. Determine the shear modulus G, the proportional limit, and the ultimate shear stress. Also, determine the maximum distance d that the top of a block of this material, shown in Fig. b, could be displaced horizontally if the material behaves elastically when acted upon by a shear force V. What is the magnitude of V necessary to cause this displacement?The length of a wire increases from 1.25 m to 1.2508 m when a load of 12 kg is suspended. The radius of the wire is 0.5 mm. Find the stress, strain and young's modulus of material of the wire. Draw a free body diagram.
- A metal wire 75.0 cm long and 0.130 cm in diameter stretches 0.0350 cm when a load of 8.00 kg is hung on its end. Find the stress, the strain, and the Young's modulus for the material of the wire.A rectangular block is 7 cm long in the x-direction, 5 cm in the y-direction, and 9 cm long in the z-direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 15 kN in the x- direction, 21 kN in the y-direction, and 18 kN in the z-direction. Calculate the strain in the direction y if Poisson's ratio v = 0.30 and having a modulus of elasticity of E = 150 GPa. y 7 cm 9 cm 21 kN 15 kN 5 cm 18 kNA rectangular steel block is 300mm in the x direction, 200mm in the y direction and 150mm in the z direction. The block is subjected to a triaxial loading consisting of three uniformly distributed forces as follows: 250kN tension in the x direction, 320kN compression in the y direction and 180kN tension in the z direction. For steel, v=0.30 and E=200,000MPa. Determine the total strain in the x direction due to the forces applied in the three directions.
- A rod of length 20 mm is stretched to make a rod of length 40 mm. Subsequently it is compressed to make a rod of final length 10 mm Consider the longitudinal tensile strain as positive and compressive strain as negative.What is the total true longitudinal strain in the rod?Find the value of strain stress 30 MPa Modulus of elasticity=65 MPaIf Young's modulus of some material is 150 GPa and shear modulus is 50 GPa, find the poisson's ratio of that material.