A pulley is keyed to a shaft midway between two anti-friction bearings. The bending moment at the pulley varies from – 170 N-m to + 510 N-m.The shaft is made of cold drawn steel having an ultimate strength of 540 MPa and yield strength of 400 MPa, Take σe = 0.5 σu. Determine the required diameter for an indefinite life based on Goodman equation. The actual stress concentration factor for the keyway is 1.6. The factor of safety is 1.5. Take size factor = 0.85 and surface finish factor = 0.88.

A pulley is keyed to a shaft midway between two anti-friction bearings. The bending moment at the pulley varies from – 170 N-m to + 510 N-m.The shaft is made of cold drawn steel having an ultimate strength of 540 MPa and yield strength of 400 MPa, Take σe = 0.5 σu. Determine the required diameter for an indefinite life based on Goodman equation. The actual stress concentration factor for the keyway is 1.6. The factor of safety is 1.5. Take size factor = 0.85 and surface finish factor = 0.88.

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 8.3.3P: A scuba t a n k (see fig ure) i s bci ng d e signed fo r an internal pressure of 2640 psi with a...

See similar textbooks

Similar questions

A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio = a/b if the total length Lmof the median line of the cross section and the torque T remain constant? From your results, show that the shear stress is smallest when the tube is square (ß = 1).
Repeat Problem 10.3-15 using L = 3.5 m, max = 3 mm, and EI = 800 kN·m2.
A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
A scuba t a n k (see fig ure) i s bci ng d e signed fo r an internal pressure of 2640 psi with a factor of safety of 2,0 with respect to yielding. The yield stress of the steel is 65,000 psi in tension and 32,000 psi in shear, (a) If the diameter of the tank is 7,0 in., what is the minimum required wall thickness? (b) If the wall thickness is 0.25 in., what is the maximum acceptable internal pressure?
Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T1=2880 N and T=432 N. The maximum bending moment is at x= 230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1). 230 mm T, 280 mm 30-mm dia. T, 300 mm 250-mm dia. 400-mm dia. 270 Nx 1800 N a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then calculate all reactions. : b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical speed of the shaft. (; c) Determine the fatigue factor of safety of the rotating shaft with the current dimensions using the DE-Gerber criteria. Use Eqs. 6-8 and 6-18 to find the endurance limit, account only for ka and k, in Eq. 6-18 and assume all remaining factors…
The 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 degrea
A shaft required to transmit 50kW of power will be running at 100rev/min. The maximum twist in 3m length of the shaft is limited to 1.5 degree. If the maximum torque is 30 percent more than mean or average torque. Assume entirely elastic action and take modulus of rigidity for the shaft material G = 135 GN/?2. Determine the following:a. Diameter of the shaft.b. Maximum shear stress developed in the shaft. I need answer ASAP. Thank you!
A shaft made of steel receives 7.5 kW power at 1500 r.p.m. A pulley mounted on the shaft as shown in Fig. has ratio of belt tensions 4. The gear forces are as follows : F, = 1590 N; F, = 580 N Pulley Gear F1 A D F, -100 : 200- 100→ All dimensions in mm. Design the shaft diameter by maximum shear stress theory. The shaft material has the following properties : Ultimate tensile strength = 720 MPa; Yield strength = 380 MPa; Factor of safety = 1.5.
Let's consider a solid circular shaft subjected to the torque loads as shown Determine the minimum required diameter "D" if the shaft is made of a material having a yielding shear stress Ty = 100 MPa, for a factor of safety FS = 2. The polar moment of inertia of a solid circular cross-section is given by Jr.R¹/2. 300 mm B 600 mm 100 N.m 500 N.m 600 mm 400 N.m
An automobile engine develops a maximum torque of 162Nm. The low gear ratio of transmission is 2.75, while the back axle ratio is 4.25. The effective wheels radius is 0.325m and the co-efficient of friction between the tyre and the road surface is 0.6. If the permissible shear stress is 32373 X 104Pa. Determine the maximum shaft diameter. Assuming that the load is nearly torsional. What is maximum load permissible on each wheel?
Bearing stress 4. Please provide proper discussion and illustration also complete solution and clear solution please thank you Determine the length of a square key to be used for a 3.73 kW, 1800 rpm electric motor if the motor shaft diameter is 35 mm and the width of the key is approximately one-fourth of the shaft diameter. The allowable shearing stress on the key is 2.45 MPa