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Concept explainers
A part is loaded with a combination of bending, axial, and torsion such that the following stresses are created at a particular location:
Bending: Completely reversed, with a maximum stress of 60 MPa
Axial: Constant stress of 20 MPa
Torsion: Repeated load, varying from 0 MPa to 50 MPa
Assume the varying stresses are in phase with each other. The part contains a notch such that Kf.bending = 1.4, Kf.axial = 1.1. and Kf.torsion = 2.0. The material properties are Sy = 300 MPa and Su = 400 MPa. The completely adjusted endurance limit is found to be Se = 200 MPa. Find the factor of safety for fatigue based on infinite life, using the modified Goodman criterion. If the life is not infinite, estimate the number of cycles. Be sure to check for yielding.
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Chapter 6 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
- 1: The concrete column is reinforced using four steel reinforcing rods, each having a diameter of 18 mm. Determine the stress in the concrete and the steel if the column is subjected to an axial load of 800 kN. Est = 200 GPa, Ec = 25 GPa. Complete fbd.arrow_forward5: As shown, two aluminum rods AB and BC, hinged to rigid supports, arepinned together at B to carry a vertical load P = 6000 lb. If each rod has a crosssectional area of 0.60 in2 and E = 10 x 106 psi. Use α = θ = 30⁰. Calculate the change in length (in) of rod AB and indicate if it elongates orshortens. Calculate the vertical displacement of B (in) and horizontal displacement of B (in). Complete fbd.arrow_forward2: The rigid bar supports the uniform distributedload of 6 kip/ft. Determine the force in each cable if each cable has a cross-sectional area of 0.05 in^2 , and E = 31(10)^3 ksi.arrow_forward
- In (Figure 1), take m₁ = 4 kg and mB = 4.6 kg. Determine the z component of the angular momentum Ho of particle A about point O. Determine the z component of the angular momentum Ho of particle B about point O. Suppose that 5 m 8 m/s 4 m 1.5 m 4 m B MB 1 m 2 m 5 30° 6 m/s MAarrow_forwardThe two disks A and B have a mass of 4 kg and 6 kg, respectively. They collide with the initial velocities shown. The coefficient of restitution is e = 0.75. Suppose that (VA)1 = 6 m/s, (VB)₁ = 7 m/s. (Figure 1) Determine the magnitude of the velocity of A just after impact. Determine the angle between the x axis and the velocity of A just after impact, measured clockwise from the negative x axis. Determine the magnitude of the velocity of B just after impact. Determine the angle between the x axis and the velocity of B just after impact, measured clockwise from the positive x axis. (VB)1 B (VA)1 60° Line of impactarrow_forwardA hot plane surface is maintained at 100°C, and it is exposed to air at 25°C.The combined heat transfer coefficient between the surface and the air is 25W/m²·K. (same as above). In this task, you are asked to design fins to cool asurface by attaching 3 cm-long, 0.25 cm-diameter aluminum pin fins (thermalconductivity, k = 237 W/m·K) with a center-to-center distance of 0.6 cm. (Tip:do not correct the length). Determine the rate of heat transfer from thefinned structure to the air for a 1 m x 1 m section of the plate.arrow_forward
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- Fpull Ө A person, weighing 155 lb, is being lifted by a rope thrown. over a tree branch as shown (drawing not to scale). If the static coefficient of friction between the rope and the tree branch is us = 0.67, and the 0 = 45°. Determine the pulling force required to start lifting the person and the pulling force required to keep the person from falling? Pulling force to lift the person: Pulling force to keep the person from falling: lb lbarrow_forwardThe car weighs 1630 lbs and drives up the hill at a constant speed. Assuming the static friction coefficient between the wheels and the road is μs = 0.64, determine the steepest angle that the car can climb without slipping if it is.... a.) rear wheel drive b.) front wheel drive c.) four wheel drive a C CC ①⑧ BY NC Dr. Jacob Moore Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 8.75 ft b 3.325 ft C 1.66 ft a.) The steepest angle for rear wheel drive is 0 max degrees. b.) The steepest angle for front wheel drive is Omax degrees. c.) The steepest angle for four wheel drive is Omax degrees. = = =arrow_forwardFor the structure below, each member of the truss will safely support a tensile force of 3 kN and a compressive force of 1 kN. Determine the largest mass m that can be safely suspended. Hint: First work through this algebraically to find the forces in each member terms of the mass "m" to determine the largest stress member. 1 m t 1 m 1 m 1m + 1m E B 1977 marrow_forward
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
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