A steel shaft (G=77 GPa) & an (Al) tube (G = 27 GPa) are connected to a fixed support & a rigid disk at the two ends. Knowing that the initial stresses are zero, determine the max torque that can be applied to the disk if the allowable stresses are tallow the steel shaft & (Al) tube respectively %3D = 120 MPa & Tallow = 70 MPa for Rigid Disk Al Tube 76 mm Steel Shaft 50 mm 8 mm Steel Shaft Al Tube 500 mm

A steel shaft (G=77 GPa) & an (Al) tube (G = 27 GPa) are connected to a fixed support & a rigid disk at the two ends. Knowing that the initial stresses are zero, determine the max torque that can be applied to the disk if the allowable stresses are tallow the steel shaft & (Al) tube respectively %3D = 120 MPa & Tallow = 70 MPa for Rigid Disk Al Tube 76 mm Steel Shaft 50 mm 8 mm Steel Shaft Al Tube 500 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.3.1P: A fire extinguisher tank is designed for an internal pressure of 825 psi. The tank has an outer...

See similar textbooks

Similar questions

A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).
A fire extinguisher tank is designed for an internal pressure of 825 psi. The tank has an outer diameter of 4.5 in. and thickness of O.OS in. Calculate the longitudinal stress, the circumferential stress, and the maximum shear stresses (out-of-plane and in-plane) at the outer surface of the tank.
A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find i lie maximum shear, ion si le. and compressive stresses in the tube and their corresponding strains. Assume that G = 6000 ksi.
Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.
a 4ll Asiacell Q2 A 20 mm diameter steel rod passes concentrically through a bronze tube (200+SN) mm long, 50 mm external diameter and 40 mm internal diameter. The ends of the steel rod are threaded and provided with nuts and washers which are adjusted initially so that there is no end play at 25°C. 1. Assuming that there is no change in the thickness of the washers, if the stress produced in the steel is (200+SN) MN/m2 when one of the nuts is tightened, the pitch of the thread being 1 mm. Find the number of turns for the nut and stress in bronze tube.2. If the temperature of the steel and bronze is then raised to 40°C find the changes that will occur in the stresses in both materials. The coefficient of linear expansion per C is 10 x10-6 for steel and 17 x10-6 for bronze. E for steel = 210 GN/m2. E for bronze = 100 GN/m2. Where SN=3 إجابتك
3 A bar of diameter 25mm has an axial hole 19mm bored out concentric with the outer circumference. The bar is submitted to the following loads simultaneously: (a) An axial tension of 13 kN, (b) A bending moment of 100Nm. Determine the maximum and minimum direct stresses on the section of the bar.
The shaft, is driven by pulley B from an electric motor. Another belt drivefrom pulley A is running a compressor. The belt tensions for pulley A are 1500 N and 600 N. The ratioof belt tensions for pulley B is 3.5. The diameter of pulley A is 150 mm and the diameter of pulley B is 480 mm. The allowable tensilestress for the shaft material is 170 MPa and the allowable shear stress is 85 MPa. Taking torsion andbending factors as 1.25 and 1.75 respectively, find the shaft diameter.Also find out the dimensions for a hollow shaft with outside diameter limited to 30 mm. Compare theweights of the two shafts. [Ans. 30 mm ; 24 mm ; 1.82 Given Length CD=350mm Length AB=150mm Length BD=100mm The total length is CD =350
Two 35 mm shafts are connected by a flanged coupling. The flanges are fitted with 6 bolts on 125 mm bolt circle. The shafts transmit a torque of 800 N-m at 350 rpm. For the safe stresses mentioned below, Safe shear stress for shaft material = 63 MPa Safe stress for bolt material = 56 MPa Safe stress for cast iron coupling = 10 MPa %3D Safe stress for key material = 46 MPa Calculate: (i) diameter of bolts ; (ii)thickness of flanges ; (iii)key dimensions ; (iv)hub length; and (V)power transmitted.
Q-1 A. solid circular shaft of (100 )mm diameter is transmit (120 )KW at r.p.m . Find the shear stress in the shaft B. the lap joint shown is fastend by three (20 )mm diameter rivets . Assumming that P-50 KN .Determine a. the shear stress in each rivets b. the bearing stress in each plate c.the max average tensile stress in each plate 25mm IAAI 25mm 5¢ 130 Soler
The solid shaft shown below is in equilibrium, supported at two bearings A and B. The pulleys C and D have diameters in the ratio 3:2. T₁ = 1000 N, T₂ = 500 N and T3 = 1500 N. The diameter of the shaft is 50 mm and yield strength sy 400 MPa. The bearings do not exert any moments or axial forces on = the shaft. a. Determine the principal stresses corresponding to maximum bending and torsional shear stresses. Ignore transverse shear stresses due to bending. C A H 0.3 m 0.5 m 0.2 m B T₁ 30° T3 60° TA
Q6)A shaft 100mm diameter is subjected to a twisting moment of /KNm, together with a bending moment of 2kNm. Find, at the surface of the shaft, (a) the principal stresses, (b) the maximum shear stress. Confirm your answer by means of Mohr's stress circle diagram, and from the diagram determine the magnitude of the normal stress on a plane inclined at 25° counter clock wise to the plane on which oxstress acts.