A copper (shear modulus 4.2 x 1010 N/m²) cube, 0.442 m on a side, is subjected to two shearing forces, each of magnitude F = 3.70 x 10°N (see the drawing). Find the angle (in degrees), which is one measure of how the shape of the block has been altered by shear deformation. Number ! Units O <>
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A: Given : scale of the stress axis is set as s=320 in a unit of 106N/m2 ε=0.0090
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- A material has a shear modulus of 5.0 × 10° N/m². A shear stress of 1.7 × 107 N/m² is applied to a piece of the material. What is the resulting shear strain?A metal bar’s dimensions are 1 in x 2 in. If the bar has a modulus of elasticity of 4.14x10^9 Pa, calculate the force (Newton) is required to stretch the bar elastically from 15 in. to 15.25 in. (Given 1 inch = 2.54 cm).The total cross-sectional area of the load-bearing calcified portion of the two forearm bones (radius and ulna) is approximately 2.0 cm2. During a car crash, the forearm is slammed against the dashboard. The arm comes to rest from an initial speed of 80 km/h in 4.5 ms. If the aum has an effective mass of 3.0 kg, what is the compressional stress that the arm withstands during the crash? Pa Need Help? Read It
- The rubber blocks shown are used in a double U shear mount to isolate the vibration of a machine from its supports. An applied load of P = 336 N causes the upper frame to be deflected downward by 5.5 mm. Determine the shear modulus Gof the rubber blocks. Assume a = 10 mm, b = 22 mm, and c = 27 mm. Double U anti-vibration shear mount b P Rubber block dimensions Shear deformation of blocks Answer: Shear Modulus G = i MPa.Between each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Suppose that such a particular disc of cartilage has a a radius of 3.118 cm (100cm = 1 meter) and a thickness of 6.877 mm (1000mm= 1meter). The shear modulus of cartilage is 1.2 × 107 N/m2. Suppose that a shearing force of magnitude 9 N is applied parallel to the top surface of the disc while the bottom surface remains fixed in place. How far does the top surface move relative to the bottom surface in microns (1 meter = 106 microns)?A diver stands (100kg) at the end of a diving board, causing the board to dip 15cm. Theboard has a width of 34cm and a thickness of 6cm. If the shear modulus of the board is2X10^6Pa, what is the length of the board? (Answer: 6.24m)
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- The total cross-sectional area of the load-bearing calcified portion of the two forearm bones (radius and ulna) is approximately 2.3 cm2. During a car crash, the forearm is slammed against the dashboard. The arm comes to rest from an initial speed of 80 km/h in 5.1 ms. If the arm has an effective mass of 3.0 kg, what is the compressional stress that the arm withstands during the crash? PaA structural steel bar with a 3.6 in. x 0.890 in. rectangular cross section is subjected to a tensile axial load of 54 kips. Determine the maximum normal and shear stresses in the bar. Answer: Omax i ! ksi %3D Tmax = i ksi