At an axial load of 22 kN, a 15-mm-thick x 35- mm-wide polyimide polymer bar elongates 4.6 mm while the bar width contracts 0.15 mm. The bar is 315-mm long. At the 22-kN load, the stress in the polymer bar is less than its proportional limit. Determine Poisson's ratio.
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- At the proportional limit, a 20-mm-thick × 75-mm-wide bar elongates 4.6 mm under an axial load of 485 kN. The bar is 1.6-m long. If Poisson’s ratio is 0.32 for the material, determine the proportional limit.At a depth of 10 km in the ocean, the pressure is 105.6 MPa. Assume a specificweight at the surface of 10.03 kN/m3 and an average bulk modulus of elasticity of 2.34 GPa for that pressure range.a. Compute the change in specific volume between the surface and 10 km depth.b. Compute the specific volume at 10 km.c. Compute the specific weight at 10 km.a liquid compressed in a cylinder has a volume of 1500cm³ at 1 mn/m² and a volume of 1495 cm³ at 2mn/m² . determine the bulk modulus of elasticity. answer must be correct.
- The solid shaft is subjected to the following loads. Determine the diameter d of the shaft to the nearest mm if the allowable shear stress of the material is 50 MPaA core sample of quartzite, 13 cm long and 6.5 cm in diameter, was tested in unconfined compression. The quartzite was known to have a modulus of elasticity of 5.7 x 10^3 MPa. a. At a pressure of 69 MPa, what would be the reduction in length of the sample? b. At this pressure what would be the vertical load on the sample? C. At 69 MPa stress the core showed an increase in diameter of 0.013 mm. What is the Poisson's Ratio for the sample?A core sample of diorite, 11 cm long and 5.5 cm in diameter, was tested in unconfined compression. The diorite was known to have a modulus of elasticity of 7.3 x 10^3 MPa. a. At a pressure of 69 MPa, what would be the reduction in length of the sample? b. At this pressure what would be the vertical load on the sample? C. At 69 MPa stress the core showed an increase in diameter of 0.009 mm. What is the Poisson's Ratio for the sample?
- A load was applied of about 3 tons on a smooth surface mounted on a steel ball whose diameter is 10 mm. It left an indentation of 3 mm diameter on the smooth surface. Find the Brinell Hardness Number of the material.A steel cylinder is 160 mm ID and 320 mm OD. If it is subject to an internal pressure of 150 MPa, determine the tangential stress on the outside layer.The 60-mm-diameter solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine the absolute maximum and minimum shear stresses on the shaft’s surface and specify their locations, measured from the free end. . The solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine the required diameter d of the shaft if the allowable shear stress for the material is tallow = 60 MPa.
- At a depth of 8km in the ocean, the pressure is 82 MPa. Assume a specific weight at the surface of 10.10 kN/m3and an average bulk modulus of elasticity of 2.30 GPa for that pressure range.Determine the specific volume and the change in specific volume between the surface and 8kmdepth.A cylindrical block is 35 cm long and has a circular cross-section 10 cm in điameter. It caries a total compresive load of 70 kN, and under this load it becomes 32 cm. Estimate the average compressive stress over a normal cross-section and the compressive strain.At an axial load of 22 kN, a 15-mm-thick × 50-mm-wide polyimide polymer bar elongates 5.7 mm while the bar width contracts 0.15 mm. The bar is 245-mm long. At the 22-kN load, the stress in the polymer bar is less than its proportional limit. Determine Poisson’s ratio.