MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Textbook Question
Chapter 10, Problem 4RP
Determine if yielding has occurred on the basis of the maximum distortion energy theory, The yield stress for the steel is σY = 650 MPa.
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Students have asked these similar questions
The state of plane stress at a critical point in a steel machine bracket is shown. If the yield stress for steel is sY = 36 ksi, determine if yielding occurs using the maximum distortion energy theory.
Bar of steel, (yield strenght Sy = 469 MPa) is subjected to the following stresses; σx = 218 MPa , σy = -158 MPa , τxy = 138 MPa
Using the Distortion-Energy Theory determine the factor of safety and check is the bar will fail or not.
The state of stress at a point in member is given by:
50 60 100
60 40
80
MPa
100 80
20
A torsion test performed on a specimen made of the same material shows that yielding occurs at a
shearing stress of 140 MPa. Examine using maximum distortion energy theory if yielding will be
occur under the state fo stress.
Chapter 10 Solutions
MECHANICS OF MATERIALS
Ch. 10.3 - Prove that the sum of the normal strains in...Ch. 10.3 - The state of strain at the point on the arm has...Ch. 10.3 - The state of strain at the point on the leaf of...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Determine the equivalent state of strain on an...Ch. 10.3 - Determine the equivalent state of strain which...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain, which...Ch. 10.3 - Solve Prob.103 using Mohrs circle. 103. The state...Ch. 10.5 - The strain at point A on the bracket has...
Ch. 10.5 - Determine (a) the principal strains at A, (b) the...Ch. 10.6 - For the case of plane stress, show that Hookes law...Ch. 10.6 - to develop the strain tranformation equations....Ch. 10.6 - Determine the associated principal stresses at the...Ch. 10.6 - Determine the applied load P. What is the shear...Ch. 10.6 - If a load of P = 3 kip is applied to the A-36...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - Solve Prob. 1061 using the maximum distortion...Ch. 10.7 - Solve Prob.1063 using the maximum distortion...Ch. 10.7 - Prob. 70PCh. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - If a machine part is made of titanium (TI-6A1-4V)...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - Prob. 82PCh. 10.7 - If the yield stress for steel is Y = 36 ksi,...Ch. 10.7 - Prob. 84PCh. 10.7 - The state of stress acting at a critical point on...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10 - In the case of plane stress, where the in-plane...Ch. 10 - The plate is made of material having a modulus of...Ch. 10 - If the material is machine steel having a yield...Ch. 10 - Determine if yielding has occurred on the basis of...Ch. 10 - The 60 strain rosette is mounted on a beam. The...Ch. 10 - Use the strain transformation equations to...Ch. 10 - If the strain gages a and b at points give...Ch. 10 - Use the strain-transformation equations and...Ch. 10 - Use the strain transformation equations to...Ch. 10 - Specify the orientation of the corresponding...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion- energy and maximum-shear-stress theories, determine the factors of safety with the following principal stresses. σA = 90 MPa, and oß = -98 MPa The factor of safety from the maximum-shear-stress theory is " and the factor of safety from the distortion-energy theory isarrow_forwardQ1: A ductile bar of aluminum 1010 alloy. Using the distortion-energy and maximum- shear-stress theories determine the factors of safety for the following plane stress states: (α) σχ = 180 MPa, σy = 100 MPa (b) σx = 180 MPa, Txy = (c) σx = -160 MPa, Txy = 150 MPa (d) Txy 100 MPa = 100 MPaarrow_forwardProblem 1: The stress state at a critical point on a steel part (Sy = 250 MPa) is shown below. Determine whether yielding occurs according to the Maximum Distortional Energy (Von Mises) failure theory. 60 MPa 40 MPa 70 MPaarrow_forward
- If sY = 50 ksi, determine the factor of safety for this loading against yielding based on (a) the maximum shear stress theory and (b) the maximum distortion energy theory.arrow_forwardA steel with a yield stress of 300 MPa is tested under a state of stress whereσ2 = σ1/2 and σ3 = 0. What is the stress at which yielding occurs if it isassumed that:(a) The maximum-normal-stress criterion holds?(b) The maximum-shear-stress criterion holds?(c) The distortion-energy criterion holds?arrow_forwardThe three principal stresses at a given point are σ1 =60 MPa, σ2 =−100 MPa, σ3 =−10 MPa. If the material has a yield stress of 250 MPa, estimate the factor of safety against yielding using (i) the maximum shear stress theory and (ii) von Mises’ theory.arrow_forward
- Q1: A ductile bar of aluminum 1010 alloy. Using the distortion-energy and maximum- shear-stress theories determine the factors of safety for the following plane stress states: (a) σx = 180 MPa, σy = 100 MPa (b) σx = 180 MPa, Txy = 100 MPa (c) σx = -160 MPa, Txy = 100 MPa = 150 MPa (d) Txyarrow_forwardThe yield stress for a zirconium-magnesium alloy is sY = 15.3 ksi. If a machine part is made of this material and a critical point in the material is subjected to in-plane principal stresses s1 and s2 = -0.5s1, determine the magnitude of s1 that will cause yielding according to the maximum shear stress theory.arrow_forwardPlease full solution with the drawing. Big and clear handwritingarrow_forward
- The Mohr's circle for a plane stress for a point in a body is shown. The design is to be on the basis of the maximum shear stress theory of yielding. Then, yielding will just begin of the designer chooses a ductile material whose yield strength is AL σ (+) -10 ✓ T (+) -100arrow_forwardIf a shaft is made of a material for which sY = 75 ksi, determine the maximum torsional shear stress required to cause yielding using the maximum distortion energy theory.arrow_forwardConsider an isotropic material subjected to a combined state of biaxial compression and simple shear, as shown in Fig. 2 and described by the stress state σij = -0 T 0 Calculate the von Mises and Tresca yield criteria as a function of σ and 7 and plot the curves in the σ - 7 plane. Calculate the values of o and 7 at which each of the yield functions intersect theo and 7 axes. Note that your answer should not change if o positive or negative. ko T 0 -ko 0 0 0 4X2 TA ko X1 Oarrow_forward
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Understanding Failure Theories (Tresca, von Mises etc...); Author: The Efficient Engineer;https://www.youtube.com/watch?v=xkbQnBAOFEg;License: Standard youtube license