Problem 3A rotating shaft of 20 mm diameter is simply supported.The shaft is loaded with a transverse load of 10 kN as shown inthe figure. The shaft is made from AISI 1095 hot-rolled steel. Thesurface has been machined. The shaft operate attemperature T = 450 °C. Consider a reliability factor of 95%.Determine(a) Calculate the reaction forces R₁ and R2*(b) Draw the shear force and bending moment diagramsand determine the maximum bending moment andshear force.200 mm20 mm10,000 N-50 mm-CABR₁Not to scale.(c) Determine the critical location of the shaft and the maximum effective stresses,(d) Calculate the static safety factor against yielding.(e) Determined the endurance limit, adjusted as necessary with Marin factors.(f)Calculate the fatigue factor of safety based on achieving infinite life(g)If the fatigue factor of safety is less than 1, then estimate the life of the part in number of rotations, based on the ultimatestrength of the material at T = 450 °C.

Given:Diameter, d=20 mmForce, P=10,000 NAISI 1095 hot-rolled steelOperating Temp = 450°CSurface =…

Answered: Problem 3 A rotating shaft of 20 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

Chapter3: Torsion

Section: Chapter Questions

Problem 3.11.10P: Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the...

See similar textbooks

Similar questions

A solid circulai' aluminum bar AB is fixed at both ends and loaded by a uniformly distributed torque 150N·n/m. The bar has diameter d = 30 mm. Calculate the reactive torques at the supports and the angle of twist at midspan. Assume that G = 28 GPa.
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.
Solve the preceding problem for a W 250 × 44.8 wide-flange shape with L = 3.5 m. q = 45 kN/m, h = 267 mm, b = 148 mm, rt = 13 mm, = 7.62 mm, d = 0.5 m, and a = 50 mm.
Repeat Problem 10.3-15 using L = 3.5 m, max = 3 mm, and EI = 800 kN·m2.
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?
-15 Repeat the preceding problem using ??. = - 750 psi.
Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.
A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.
Solve the preceding problem for a W 200 × 41,7 shape with h = 166 mm, h = 205 mm. rw = 7.24 mm, tE= ILS mm,andV = 38 kN.
The shaft shown in the figure is machined from AISI 1040 cold- drawn steel. The shaft rotates at 1600 rpm and is supported in rolling bearing at A and B. The applied forces are Fj=4.8 kN and F=9.6kN. Assume that the bending stress is completely reversed. (a) Draw bending-moment diagram and calculate the moment at the following four points (0-@). And then, calculate the maximum reversing stress at the critical position which the failure is expected.
The rotating shaft below is made of AISI 1006 CD steel and is simply supported at bearings A and B. Shown in the figure is the steady force F = 1,600N making an angle of 20° with the z-direction. Also acting on the gear and the shaft is a steady axial force of P = 1,500 N. At the critical section of the shaft at B, take the fatigue stress concentration factors for bending, axial and torsion as (K)bend=1.6, (Ki)ax=2.5 and K=1.3. Assume a reliability of 95 %. All dimensions in the figure are in mm. ах a) Find the endurance limit for the shaft (Se). b) Determine alternating and midrange stress components at the critical section B. c) How much are equivalent (von Mises) alternating and midrange stresses (oa' and ơm) at B. d) For an infinite life, find the fatigue factor of safety (nà using the Gerber method. e) Calculate the (first-cycle) yield factor of safety (ny). f) Find the life of the shaft (number of cycles, N). 200 F Shaft Diameter = d = 20 60 20° B Gear Diameter = D= 60 X

SEE MORE QUESTIONS

Recommended textbooks for you

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS