Determine the torsional stress of the cantilever shafts show in the figure below: C 200 5 KN.m T 15 0 20 0
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- .4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.A propeller shaft is required to transmit 45 kW power at 500 rpm. It is a hollow shaft having inside diameter 0.6 times the outer diameter. It is made of plain carbon steel and the permissible shear stress is 84 N/mm^2. Determine the inner and outer diameters of the shaft.Ten bolts of 10 mm diameter are used to connect two shafts as shown. If the mean diameter of the circle is d = 200 mm, and the failure shear stress of the bolt’s material is 70 MPa, determine the maximum permissible torque (N.m). Take F.S. = 1.05. (Input the answer with two decimal places; like 263.46, 3682.42, ....).
- Since each of the shafts AB, BC and CD shown in the figure consists of a solid circular bar, determine the magnitude of the stress in the shaft (MPa) at which the maximum shear stress occurs.A steel shaft transmits 30 kW of power at 10 Hz. Determine the smallest safe diameter of the shaft if the shear stress τmax is not to exceed 50 MPa and the angle of twist θ is limited to 5°in a length of 4 m. Use G = 70 GPaa hollow shaft for a rotary compressor is to be designed to transmit maximum torque of 4750 n-m. the shear stress in the shaft is limited to 50 mpa. determine the inside outside diameter of the shaft if the ratio of inside to outside diameter of the shaft is 0.4
- A flange coupling connects two shafts in order to transmit 250 kW at 100 rpm. It uses 6 bolts with a diameter of 20 mm located at a 210 mm bolt circle diameter. Determine the flange thickness if the bearing stress on the flange is 95 MPa. A. 10 mm B. 20 mm C. 25 mm D. 30 mmThe shaft and the flange of a marine engine are to be designed for flange coupling, in which the flange is forged on the end of the shaft. The following particulars are to be considered in the design: Power of the engine=2.4 MW Speed of the engine 80 r.p.m Permissible shear stress in bolts and shaft = 60 MPa Number of bolts used =6 Pitch circle diameter of bolts=1.6* Dimeter of shaft Find 1.diameter of shaft; 2.diameter of bolts; 3.thickness of flange; and 4.diameter of flange. (25 degreaA compound shaft consists of an aluminum tube (1) securely jointed to a steel tube (2). Both aluminum and steel tubes have an outside diameter of D= 48 mm and a wall thickness of t= 3 mm. The shaft is secured by a fixed support at one end and is subjected to a torque of T= 115 N.m at the other end. Determine the maximum stress in the shaft.[L1 = 200 mm, L2 = 350 mm, D = 48 mm , t = 3 mm, G = 75 GPa]
- A shaft with a solid, circular cross section consisting of two segments isshown in parta of the figure. The left-hand segment has a diameter of 80mm and length of 1.2 m; the right-hand segment has a diameter of 60mm and length of 0,9 m.Shown in part b of the figure is a hollow shaft made of the same materialand having the same length. The thickness tof the hollow shaft is d/10,where dis the outer diameter. Both shafts are subjected to the sametorque.a. If the hollow shaft is to have the same torsional stiffness as thesolid shaft, what should be its outer diameter d?b. If torque T is applied at either end of both shafts and the hollowshaft is to have the same maximum shear stress as the solid shaft,what should be its outer diameter d?A flange coupling connects two shafts to transmit 40 kW at 900 rpm. The flanges of the coupling are fastened by 6 bolts of the same material. The bolts are equally spaced around the circumference of the bolt circle. The arc on the bolt circle between two adjacent bolts measures approximately 52.36 mm. Find the size of the bolts if the allowable shear stress for the bolt material is 30 MPa.In an industrial machine, two shafts have to be connected by using a muff coupling. The shaft rotates at a speed of 679 rpm and transmits a power of 5 kW. If the maximum torque exceeds the mean torque by 23%. Take the value of allowable shear stress as 71 MPa. Find the value of the following i) Torque transmitted in N-m ii) Maximum torque transmitted in N-m iii) Diameter of the shaft in mm.