7. A steel 0.6 inch x 1.2 inch steel 90 m long is subjected to a 45kN tensile load along its length. If poison's ratio is 0.3. Find A The deformation along its length, inches B. The deformation along its thickness, inches C. The deformation along its width, inches D. The lateral strains, inches
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Problem 7 only, read and see the figure, solve carefully, include the units in every step and draw the diagram. Thanks!
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- A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?A stepped shaft ACB having solid circular cross sections with two different diameters is held against rotation at the ends (sec figure). If the allowable shear stress in the shaft is 6000 psi, what is the maximum torque (T0) that may be applied at section C? Find (T0)max if the maximum angle of twist is limited to 0.55º. Let G = 10,600 ksi.
- The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1= 100 mm. If the allowable shear stress at the stress concentration is 100 MPa, at what diameter will this stress be reached? Is this diameter an upper or a lower limit on the value of D2?A thin tubular shaft with a circular cross section (see figure) and with inside diameter 100 mm is subjected to a torque of 5000 N · m. If the allowable shear stress is 42 MPa, determine the required wall thickness t by using (a) the approximate theory for a thin-walled tube and (b) the exact torsion theory for a circular bar.When drilling a hole in a table leg, a furniture maker uses a hand-operated drill (see figure) with a bit of diameter d = 4.0 mm. If the resisting torque supplied by the table leg is equal to 0.3 N · m, what is the maximum shear stress in the drill bit? If the allowable shear stress in the drill bit is 32 MPa, what is the maximum resisting torque before the drill binds up? If the shear modulus of elasticity of the steel is G = 75 GPa, what is the rate of twist of the drill bit (degrees per meter)?
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- A flanged bolt coupling consists of six 10-mm diameter steel bolts on a bolt circle 300 mm in diameter and four 10 mm diameter steel bolts on a concentric bolt circle 200 mm in diameter. When torque applied is 5500 Nm, find the shearing stress (MPa), in the bolts found in the inner concentric circle. (PLEASE ANSWER IN 10 mins.)Two solid shafts, 50 mm in diameter, are connected by a flange coupling with six bolts and a pitch circle diameter of 95 mm. If the maximum shear stress in the shaft due to a torque is to be the same as the shear stress in the bolts, calculate a suitable bolt diameter. If the maximum working shear stress is limited to 55 MPa, what maximum power will be transmitted by the coupling at 700 r/min?A 1.5-inch Monel shaft is used in a torsional application. Based on the operating speed of 100 rpm and factor of safety of 12. How much horsepower can it transmit? Assume the shearing stress is ¾ of the ultimate tensile stress which is 100 ksi.