Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
6th Edition
ISBN: 9780134441184
Author: Robert L. Mott, Edward M. Vavrek, Jyhwen Wang
Publisher: PEARSON
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Chapter 4, Problem 2P
For the sets of given stresses on an element given in Table4−2, draw a complete Mohr’s circle, find the principal stresses and the maximum shear stress, and draw the principal stress element and the maximum shear stress element. Any stress components not shown are assumed to be zero
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The pressure in a cast-iron water pipe is 180 psi. If the inside diameter of the pipe is 15 in. and the allowable unit stress in tension is 2000 psi, what should be the thickness of a shell of the pipe, expressed as a multiple of 1/8 in.
A. 3/4 in.
B. 5/8 in.
C. 1/2 in.
D. 3/8 in.
For the following data, using the stress-transformation equations. (a) find the principal stresses and show their sense on properly oriented elements;
(b) find the maximum (principal) shear stresses with the associated normal stresses and show the results on properly oriented elements; and
(c) check theinvariance of the normal stresses for solutions in (a) and (b).
The relationship where the stress is linear up to the proportional limit
Chapter 4 Solutions
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
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- For the given system;a) Draw internal force diagrams and determine the most critical section.b) Show the stress distribution on this critical section and find the maximum normal stress.GIVEN: ℓ1 = 80 cm, ℓ2 = 40 cm, M = 8000 Ncm, b = 4 cm, h = 6 cm, t = 1 cm, F = 1400 N, qo = 30 N/cm .arrow_forward2. The stress at a point of a machine component are 200MPa tensile and 100MPa compressive. Using Mohr’s Circle method find the intensities of normal, shear and resultant stresses on a plane inclined at an angle of 300 with the tensile stress. Also find the magnitude of shear stress in the component.arrow_forwardA plane stress state is given by the principal stresses σx =25 MPa and σy= -11 MPa. Determine σx' in the case that the system is inclined by 30 degrees (counter-clockwise). Give your answer in MPa to the nearest whole number.arrow_forward
- Figure Q2 shows an arrangement used to transfer materials F to a construction site. The rod OB is fixed at datum O. One of the systems used have dimension and loads as given in Table Q2. During operation, Pulley A is rotated as shown to move the load upwards. The inclination angle of rod OB is θ = 45O. Determine: Stress in Rope 1 (in MPa) Stress in Rope 2 (in MPa) Extension in Rope 2 (in mm) The minimum diameter of Rope 2 (in mm) if the stress is at yieldarrow_forwardMohr's Circle At a point, the normal and shear stresses acting on one plane are 8000 psf compression and 2000 psf, respectively. On a perpendicular plane, the normal and shear stress combination is 2000 psf compression and 2000 psf. (a) Draw the Mohr's circle. (b) Determine the value of the principal stresses. (c) Find the angle between the plane on which the 8000 psf compressive stress acts and the major principal plane. (d) What is the maximum shear stress acting at the point? kindly answer the following with a complete solution so that i can understand how to solve it. thank youarrow_forwardAt a point in an elastic material under strain, the stresses on the three mutually perpendicular planes are as follows:A normal tensile stress of 60 N/mm^2and shear stress of 40 N/mm2 on one plane and a normal tensile force of 40 N/mm^2and a complimentary shear stress of 40 N/mm^2 on another plane. Find the following using Mohr circle only (take 5 N/mm2 = 1 cm)a. The principal stresses and principal planes.b. The maximum shear stress and its plane.c. The normal and shear stress on a plane inclined at an angle of 30Oto major principal plane.arrow_forward
- For the following state of stress, (a) using the general equation of transformation of stress, find normal and shear stress, (b) find the principle stresses and show their sense in properly oriented element and (c) find the maximum shear stresses with the associated normal stresses and show the results on a properly oriented element.arrow_forwardA nylon string has a diameter of 2 mm, pulled by a force of 100 N. Determine the stress.arrow_forward• When the state of stress is represented by the principal stresses, no shear stress will act on the element. True or False?arrow_forward
- Mohr's Circle The major and minor principal stresses acting at a point are 80 psi compression and 20 psi tension. (a) Draw the Mohr's circle for this stress combination. (b) What is the maximum shear stress acting at the point, and what value of normal stress acts on the plane? (c) Determine the value of the shear and normal stress acting on a plane that is 30° from the major principal plane. kindly answer the following with a complete solution so that i can understand how to solve it. thank youarrow_forwardIn one revolution of a shaft the stresses which vary from a value of tensile stress to the same value of compressive stress is called as a. fluctuating stress. b. alternating stress. c. cyclic stress. d. repeated stress.arrow_forwardThe state of stress at a point in a member is shown in Figure Q1(a). Determine the stress components acting on the inclined plane AB by using the stress transformation equations.arrow_forward
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Understanding Stress Transformation and Mohr's Circle; Author: The Efficient Engineer;https://www.youtube.com/watch?v=_DH3546mSCM;License: Standard youtube license