Suppose the shaft pictured below has dimensions d = 3 cm, D = 3.3 cm, and fillet radius r = 0.4 cm and issubjected to load P = 285 kN. Suppose the shaft is made from a material with yield strength Sy = 527 MPa.The nominal stress for this shaft is defined as nom4P/(nd²).rP+Níz+Dload,maxAssuming a stress concentration factor K+ = 1.5, calculate the maximum elastic stress elastic,max (i.e.assuming no yielding occurs) in the shaft:elastic,max = number (rtol=0.01, atol=1e-05)MPaAssuming a perfectly plastic material, calculate the actual maximum stress (i.e. maximum value of load)developed in the shaft:number (rtol=0.01, atol=1e-05)MPaAfter the load is removed, find the magnitude of the maximum compressive residual stress in the shaft,residual,max:Oresidual,max| = number (rtol=0.01, atol=1e-05)MPa

Answered: Image /qna-images/answer/482e881b-f5a2-43c9-b40c-9176b3d0c378.jpg

Suppose the shaft pictured below has dimensions d = 3 cm, D = 3.3 cm, and fillet radius r = 0.4 cm and is subjected to load P = 285 kN. Suppose the shaft is made from a material with yield strength Sy = 527 MPa. The nominal stress for this shaft is defined as onom 4P/(nd²). = load,max Assuming a stress concentration factor K+ = 1.5, calculate the maximum elastic stress elastic,max (i.e. assuming no yielding occurs) in the shaft: Telastic,max number (rtol=0.01, atol=1e-05) r -E •Hi- d - Assuming a perfectly plastic material, calculate the actual maximum stress (i.e. maximum value of load) developed in the shaft: number (rtol=0.01, atol=1e-05) MPa ? number (rtol=0.01, atol=1e-05) After the load is removed, find the magnitude of the maximum compressive residual stress in the shaft, Fresidual,max: Oresidual,max MPa MPa ?

Suppose the shaft pictured below has dimensions d = 3 cm, D = 3.3 cm, and fillet radius r = 0.4 cm and is subjected to load P = 285 kN. Suppose the shaft is made from a material with yield strength Sy = 527 MPa. The nominal stress for this shaft is defined as onom 4P/(nd²). = load,max Assuming a stress concentration factor K+ = 1.5, calculate the maximum elastic stress elastic,max (i.e. assuming no yielding occurs) in the shaft: Telastic,max number (rtol=0.01, atol=1e-05) r -E •Hi- d - Assuming a perfectly plastic material, calculate the actual maximum stress (i.e. maximum value of load) developed in the shaft: number (rtol=0.01, atol=1e-05) MPa ? number (rtol=0.01, atol=1e-05) After the load is removed, find the magnitude of the maximum compressive residual stress in the shaft, Fresidual,max: Oresidual,max MPa MPa ?

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 8.4.7P: A cantilever beam(Z, = 6 ft) with a rectangular cross section (/> = 3.5 in., h = 12 in.) supports an...

See similar textbooks

Similar questions

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?
Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .
A solid circular bar of diameter d = 50 mm (see figure) is twisted in a testing maching until the applied torque reaches the value T = 500 N ·. At this value of torque, a strain gage oriented at 45º to the axis of the bar gives a reading e = 339 × 10-6. What is the shear modulus G of the material?
A hollow steel shaft used in a construction auger has an outer diameter d2= 6.0 in. and inner diameter d1= 4.5 in. (see figure). The steel has a shear modulus of elasticity G = 11.0 × 106 psi. For an applied torque of 150 kip-in., determine the following quantities: shear stress at the outer surface of the shaft, shear stress at the inner surface, and rate of twist (degrees per unit of length). Also, draw a diagram showing how the shear stresses vary in magnitude along a radial line in the cross section.
A pressurized cylindrical tank with flat ends is loaded by torques T and tensile forces P (sec figure), The tank has a radius of r = 125 mm and wall thickness t = 6.5 mm. The internal pressure p = 7.25 MPa and the torque T = 850 N m. (a) What is the maximum permissible value of the forces P if the allowable tensile stress in the wall of the cylinder is 160 MPa? (b) If forces P = 400 kN, what is the maximum acceptable internal pressure in the tank?
A large spherical tank (see figure) contains gas at a pressure of 420 psi. The tank is 45 ft in diameter and is constructed of high-strength steel having a yield stress in tension of 80 ksi. (a) Determine the required thickness (to the nearest 1/4 inch) of the wall of the tank if a factor of safety of 3,5 with respect to yielding is required. (b) If the tank wall thickness is 2.25 in., what is the maximum permissible internal pressure?
The propeller shaft of a large ship has an outside diameter 18 in. and inside diameter 12 in,, as shown in the figure. The shaft is rated for a maximum shear stress of 4500 psi. If the shaft is turning at 100 rpm, what is the maximum horsepower that can be transmitted without exceeding the allowable stress? If the rotational speed of the shaft is doubled but the power requirements remain unchanged, what happens to the shear stress in the shaft?
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?
-11 A solid steel bar (G = 11.8 X 106 psi ) of diameter d = 2,0 in. is subjected to torques T = 8.0 kip-in. acting in the directions shown in the figure. Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements.
(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions E = 89 mm and compressive strains E = 690 X l0-6 and = = 255 X 10-6. For part (c) of Problem 7.6-5. find the maximum value of cr when the change in volume must be limited to 0.11%. For part. find the required value of when the strain energy must be 33 J.
A circular steel tube of length L = 1.0 m is loaded in torsion by torques T (see figure). (a) If the inner radius of the tube is r1= 45 mm and the measured angle of twist between the ends is 0.5°, what is the shear strain y1(in radians) at the inner surface? (b) If the maximum allowable shear strain is 0.0004 rad and the angle of twist is to be kept at 0.45° by adjusting the torque T, what is the maxi mum permissible outer radius (r2)max?