In a standard tensile strain test, a 20 mm diameter aluminum rod is subjected to a tensile force ofP = 30KN. If μ = 0.35 (Poisson's ratio) and E = 70 GPa (Young's modulus), determine:a) The elongation of the rod in a calibrated length of 150 mm andb) The change in the diameter of the rod

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Answered: In a standard tensile strain test, a 20…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Two rods are identical in all respects except one: one rod is made from aluminum (Young's modulus 6.8 x 1010 N/m²), and the other from tungsten (Young's modulus 1.7 x 1011 N/m²). The rods are joined end to end, in order to make a single rod that is twice as long as either the aluminum or tungsten rod. What is the effective value of Young's modulus for this composite rod? That is, what value Ycomposite of Young's modulus should be used in Equation 10.17 when applied to the composite rod? Note that the change ALComposite in the length of the composite rod is the sum of the changes in length of the aluminum and tungsten rods.
A 1.25 m long cable has a diameter 3.50 mm with a Young's Modulus, E, of 9.75 x 109 N/m2. When the wire is placed under tension, it experiences a stress of 202.52 x 106 N/m2, the length of the cable extends by 36.35 mm. Calculate the force that the cable experiences under tension and the strain energy density (UV) due to deformation. Give your answers in newtons (N) to 2 decimal places for the force; and in joules per cubic metre (J/m³) for the strain energy density to 2 decimal places. Assume the cable is solid and the material is homogeneous
The face of an aluminum plate, which is fixed in place, measures 90 cm by 90 cm. The thickness of the plate is 6 cm. A force parallel to it, produces a shear strain of 0.0060. The shear modulus of aluminum is 3.0 × 10^10 Pa. Find the displacement of the upper force.
A 1.25 m long cable has a diameter 3.50 mm with a Young’s Modulus, E, of 9.75 x 109 N/m2 . When the wire is placed under tension, it experiences a stress of 202.52 x 106 N/m2 , the length of the cable extends by 36.35 mm. Calculate the force that the cable experiences under tension and the strain energy density (U/V) due to deformation. Give your answers in newtons (N) to 2 decimal places for the force; and in joules per cubic metre (J/m3 ) for the strain energy density to 2 decimal places. Assume the cable is solid and the material is homogeneous.
A steel rod has length 60.3 cm and radius 2.20 cm. An aluminum rod has length 20.0 cm and radius 2.20 cm. The rods are joined end to-end. When compressive forces of magnitude 5.40 are applied to the ends, by how much does the total length of the rods decrease? Young's modulus of steel is 200 * 10 ^ 11 * N / (m ^ 2) and Young's modulus of aluminum is 700 * 10 ^ 10 * N / (m ^ 2) m

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In a standard tensile strain test, a 20 mm diameter aluminum rod is subjected to a tensile force of P = 30KN. If μ = 0.35 (Poisson's ratio) and E = 70 GPa (Young's modulus), determine: a) The elongation of the rod in a calibrated length of 150 mm and b) The change in the diameter of the rod