B) A simply supported shaft is shown in the following Figure. A constant magnitude distributed unit load p isapplied as the shaft rotates. The shaft is also subject to a steady torque of Tmax 2000-N -m., find the diameter ofshaft required to obtain a safety factor of 2.5 in fatigue loading if the shaft is steel of Sut 814 MPa and Sy 703MPa. The dimensions are in cm, the distributed force in N/cm, and the torque is in N-m. No stress concentrations arepresent, the shaft is machined, the required reliability is 90%, and the shaft operates at room temperatureFigure:1= 20-cm: b = 18-cm ; a = 16 cm Applied distributed load p:= 1000 N em ;区区

Tmax=2000N.mFOS=2.5Sut=814 MPaSy=703MPaReliability =90%l=20cmb=18cma=16cmp=1000N.cm-1=100000N.m-1…

B) A simply supported shaft is shown in the following Figure applied as the shaft rotates. The shaft is also subject to a stea shaft required to obtain a safety factor of 2.5 in fatigue loadir MPa. The dimensions are in cm, the distributed force in N/cn present, the shaft is machined, the required reliability is 90%

B) A simply supported shaft is shown in the following Figure applied as the shaft rotates. The shaft is also subject to a stea shaft required to obtain a safety factor of 2.5 in fatigue loadir MPa. The dimensions are in cm, the distributed force in N/cn present, the shaft is machined, the required reliability is 90%

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.8.10P: A steel punch consists of two shafts: upper shaft and lower shaft. Assume that the upper shaft has a...

See similar textbooks

Similar questions

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.
Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?
A steel punch consists of two shafts: upper shaft and lower shaft. Assume that the upper shaft has a diameter d1= 24 mm and the bottom shaft has a diameter d2= 16 mm. The punch is used to insert a hole in a 4 mm plate, as shown in the figure. If a force P - 70 kN is required to create the hole, what is the average shear stress in the plate and the average compressive stress in the upper and lower shaft of the punch?
Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?
A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
The coefficient of friction between the belt and the pulley is 0.3 and the maximum stress in the belt is limited to 14 N/mm width. If the larger pulley rotates at 120 r.p.m., find the maximum power that can be transmitted. Q2 Find the diameter of a shaft made of 37 Mn 2 steel having the ultimate tensile strength as 600 MPa and yield stress as 440 MPa. The shaft is subjected to completely reversed axial load of 200 kN. Neglect stress concentration factor and assume surface finish factor as 0.8. The factor of safety may be takenas 1.5. Q3 a) An universal coupling is used to connect two mild steel shafts transmitting a torque of 6000 N- m. Assuming that the shafts are subjected to torsion only, find the diameter of the shaft and the pin. The allowableshear stresses for the shaft and pin may be taken as 55 MPa and 30 MPa respectively.
Multi part question The rotating shaft shown is subjected to a constant force. Shaft material is AISI 1020 cold drawn steel. The shaft was turned on a lathe using standard carbide tooling. No heat treatment of the shaft was performed. Assume 99% reliability based on material property data. Shaft dimensions are shown in the illustration below. All dimensions in mm. External force is 3.927 kN. Calculate the highest alternating stress in the shaft, in MPa. -20 -35 D. 180- -500 3R. -280- -175- -50 D. 25 D.
Requlred Informatlon A rotating shaft of 25-mm dlameter Is simply supported by bearing reaction forces R;and R2. The shaft is loaded with a transverse load of 13 kN as shown In the figure. The shaft is made from AISI 1045 hot-rolled steel. The surface has been machined. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 200 mm 25 mm 13 kN -50 mm Not to acale Determine the minimum fatigue factor of safety based on achleving Infinite life. The minimum fatigue factor of safety is
Design a square key for a 3 in diameter shaft to withstand a torque of 30000lb-in. The design stresses in shear and bearing can be safely taken as 11 ksi and 22 ksi, respectively. Find the length (inches) From Table AT 19, b=t=3/4 in
Q1: A motor driving a solid circular steel shaft transmits 30 kW to a gear at B (as shown). The allowable shear stress in the steel is 40 MPa., G70 Gpa (a) What is the required diameter d of the shaft if it is operated at 1500 rpm? (b) What is the required diameter d if it is operated at 3000 rpm? (c) If the length of the shaft from the motor to the gear is 1 m, what are the angles of twist for the two speeds of rotation? Motor GIC G
Write legibly, provide manual step by step solution, and diagram for below given problem. A 2.5 in diameter 10 spline shaft ( d= 0.86D, w= 0.156D, h= 0.07D ) to slide when not under load has a compressive force of 2500 lb. Find the torque applied if hub length is 1 1/2 in. Ans. 2906.25 in-lb