d-15mm Rod Length = 5 m E = 200 GPa Cable d = 4 mm Length = 5 m E = 200 GPa F
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Determine the following spring stiffness constant
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- A solid steel shaft 4.5 m long is stressed at 75 MPa when twisted through 4.5°. What power can be transmitted by the shaft at 25 Hz? Use G = 83 GPa.The Euler’s theory holds good for ________ Select one: a. Long column b. Short column c. Short shaft d. Long shaftA circular shaft of diameter D, groove diameter d, and groove radius r is subjected to a fully reversed torque T = 1000 lb-in and a fully reversed moment M = 500 lb-in. Find the factor of safety of the shaft for infinite lifetime using the modified Goodman diagram, if the shaft is made from steel (Sut = 85 ksi, Se = 45 ksi). Given: D = 2 in, d = 1 in, r = 0.5 in. Assume all fatigue stress concentration factors are equal to 1
- A hollow shaft 3 feet long and with radii 1.5 in and 2 in is used to transmit power from an 8 HP motor to a drum of radius 2 fy (Modulus of rigidity= 11x10^6 ln/in^2). A cable wound on the drum supports a hoist. What angle is the shaft twisted when the hoist is pulled up with a constant speed of 2 in/s?A hand cranking lever, as shown in Figure 6 below, is used to start a truck engine byapplying a force F = 400 N. The material of the cranking lever has a yield strength = 320 MPa;Ultimate tensile strength = 500 MPa; Young’s modulus = 205 GPa; Modulus of rigidity = 84 GPaand poisson’s ratio = 0.3. Assuming factor of safety to be 4 based on yield strength, design thediameter of the lever at section X-X near the guide bush using: a) Maximum distortion energytheory; and b) Maximum shear stress theory.A solid shaft in a rolling mill transmits 30kW at 100 rpm. Find the diameter in mm of the shaft so as not to exceed a shearing stress of 80 MPa and an angle of twist of more than 10 degrees in a length of 8 meters. G = 83 GPa
- A solid shaft 5 m long is stressed to 60 MPa when twisted through 4 deg . Using G = 83 GPa, what power (Hp) can be transmitted by the shaft at 20 rps?Two coaxial closed coil springs make up a standard compound helical spring. When both springs are unloaded, they are not of equal length. If each spring's working stress is to be the same. The wire material has an 80 GPa modulus of rigidity. Find the diameter of steel wire for inner spring and stiffness of inner spring. Also find the stiffness of the compound spring. Outer spring a: Mean coil diameter = 100 mm No. of turns = 15 Wire diameter = 12.5 mm Inner spring b: mean coil diameter = 75 mm No. of turns = 20A spring has an unstretched length of 600 mm. If it was stretched by 400 mm, the work done is 800 Joules. What is the stiffness of the spring? A) 100 N/m B) 10 KN/m C) 1000 N/m D) 1 KN/m
- Determine the degrees of freedom under the following conditions: (a) TI-20 wt% Pb at 325°C and again at 400°C? (b) TI-40 wt% Pb at 325°C and again at 400°C? (c) TI-90 wt% Pb at 325°C and again at 400°C?A core is made with mild steel, which has a relative permeability of 800, a length of 10 cm, and a cross section of 1 cm x 1.2 cm. A. 8.33x103 At/Wb B. 8.33x104 At/Wb C. 8.33x105 At/Wb D. 8.33x106 At/WbA motor drives a shaft at 12 Hz and delivers 20 kW of power as shown in Fig.4. (a) If the shaft has a diameter of 30 mm, what is the maximum shear stress τmax in the shaft? (b) If the maximum allowable shear stress is 40 MPa, what is the minimum permissible diameter dmin of the shaft? A solid circular bar of diameter d = 50 mm is twisted in a testing machine until the applied torque reaches the value T = 500 Nm as shown in Fig.4. At this value of torque, a strain gage oriented at 45 ° to the axis of the bar gives a reading ε =339 ×10-6 . What is the shear modulus G of the material?