A steel shaft is to be manufactured either as a solid circular bar or as a circular tube . The shaft is required to transmit a torque of 1200 N-m without exceeding an allowable shear stress of 40 MPa nor an allowable rate of twist of 0.75°/m. (The shear modulus of elasticity of the steel is 78 GPa.) (a) Determine the required diameter do of the solid shaft. (b) Determine the required outer diameter d, of the hollow shaft if the thickness t of the shaft is specified as one-tenth of the outer diameter. (c) Determine the ratio of diameters (that is, the ratio d2ldo) and the ratio of weights of the hollow and solid shafts. d2 t = 10 -d-p- -Op- dz (a) (b)

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Q: A hollow shaft made of red-brass copper (G= 37 GPa, shear yield strength = 150 MPa) is sandwiched…

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Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.