Chevron strain gauges mounted on the surface of a solid steel shaft register the following strain...
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Chevron strain gauges mounted on the surface of a solid steel shaft register the following strain values when the shaft is subject to a torque of 5000Nm. & = 250x106 EX & = -250x106 The gauge elements are mounted at 45 degrees to the shaft axis. Part a: Determine the direct stresses in the directions of the strain gauge elements. [4] State the corresponding shear stress induced and indicate using Mohrs circle the relationship between the direct stresses registered by the strain gauge elements and the applied shear stress. (for a shaft in pure torsion) [4] [6] Calculate the diameter of the shaft to which the gauges are attached. Part b: Determine also the corresponding modulus of rigidity and angle of twist if the shaft has a length of 600mm. [E = 200GN/m, v = 0.3] [6] Chevron strain gauges mounted on the surface of a solid steel shaft register the following strain values when the shaft is subject to a torque of 5000Nm. & = 250x106 EX & = -250x106 The gauge elements are mounted at 45 degrees to the shaft axis. Part a: Determine the direct stresses in the directions of the strain gauge elements. [4] State the corresponding shear stress induced and indicate using Mohrs circle the relationship between the direct stresses registered by the strain gauge elements and the applied shear stress. (for a shaft in pure torsion) [4] [6] Calculate the diameter of the shaft to which the gauges are attached. Part b: Determine also the corresponding modulus of rigidity and angle of twist if the shaft has a length of 600mm. [E = 200GN/m, v = 0.3] [6]
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