C 2P=200 KN P-100
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- A steel bar 25 mm wide and 50 mm deep is simply supported at two points 3 m apart andcarries three loads of 1000 N, 1500 N and 750 N at 1 m, 2 m and 2.5 m from the leftsupport. The Young's modulus for steel is 200 GPa. If the mass of the bar is 262 kg/m,find the frequency of transverse vibration.4 helical springs is used in a suspension system of a motorcycle. The mean coil diameter is 15 cm, spring constant is 40,000 N/m, shear modulus = 80x10^9 N/(m^2), and has 8 effective turns. Determine what must be the wire diameter of the helical spring.A Hollow power transmission shaft of length ‘L’ 1103 mm, outer diameter ‘D’ 73mm and inner diameter 'd' 50. is required to transmit a power of P 60kW at a speed of 2950rpm. The modulus of rigidity of hardened carbon steel, which the shaft is made of, is 79.5 GPa. Calculate the polar second moment of area of the shaft?
- A 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?[Note: Dont attempt this question second time if u have already provided the solution one time ] The stepped shaft in the figure transmits 19.2 kW of power at 180 rpm. Determine the required shaft diameter using the maximum strain energy (Von Mises) hypothesis. Take L=0.8 m, F=6kN, τem=72 MPa, σem= 108 MPa.The stepped shaft in the figure transmits 19.2 kW of power at 180 d/d (rpm). Determine the required shaft diameter using the maximum strain energy (Von Mises) hypothesis. Take (L=0.8 m, F=6kN, τem=72 MPa, σem= 108 MPa)
- In the given fig shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant of the suspension if each of the three helical springs is made of steel with a shear modulus G = 120GPaand has five effective turns, mean coil diameter D = 50 cm, and wire diameter d = 5 cmSolve the preceding problem using the fol low-data: W 8 × 21 section, L = 84 in., P = 4.5 kips, a = 22.5°.A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed torque t1acting aver segment 1 and concentrated torque t2applied at C, as shown in the figure. Segment 1 of the shaft has a diameter of d1= 57 mm and length of L1= 0.75 m; segment 2 has a diameter d2— 44 mm and length L2= 0.5 m. Torque intensity /,"= 3100 N . m/m and T2= 1100 N. m. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: .x = L1/2 and at .x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams.
- A shaft 1.5 m long is supported in flexible bearings at the ends and carries two wheels each of 50 kg mass. One wheel is situated at the centre of the shaft and the other at a distance of 0.4 m from the centre towards right. The shaft is hollow of external diameter 75 mm and inner diameter 37.5 mm. The density of the shaft material is 8000 kg/m3. The Young’s modulus for the shaft material is 200 GN/m2. Find the frequency of transverse vibration.A rotating hollow shaft is to transmit 30kw at 300rpm, the maximum torque being 20% greater than the mean. The shear stress is not to exceed 60Mpa and twist in a length of 2 meters not to exceed 1.2 degrees. Find the external diameter of the shaft if the external diameter to internal diameter ratio of 2.5. Consider modulus of rigidity as 84 Gpa.A shaft having length equal to 10 m and diameter equal to (50+ 01) mm is simply supported at both ends. The shatt carries four masses (150 + 01) kg, (200 + 01) kg, (250 +01) kg and (300 + 01) kg. These masses are located at a distance of 1.5m, 2.5 m, 5.5 mand 7.5 m from the left hand side support, respectively. The modulus of elasticity, E, for the material of the shaft is 200 GN/m? and mass density for the shaft material is 7500 kg/m?3. Determine critical speed of the shaft in revolutions per minute for the following two cases: 1. Effect of the mass of the shaft is neglected. 2. Effect of the mass of the shaft is considered. What is the usefulness of the answers determined in this problem?