A machine component is loaded so that stresses at the critical location are σ 1 =...
A machine component is loaded so that stresses at the critical location are σ 1 = 17.3 ksi, σ 2 = -17.7 ksi, and σ 3 = 0. The material is ductile, with yield strengths in tension and compression of 76 ksi. What is the safety factor according to the maximum distortion- energy theory ?
Homework Answers
# According to maximum distortion energy theorem for no failure, the maximum shear strain energy per unit volume should be less than or equal to shear strain energy per unit volume at yielding.
# failure criteria for 2 D stress according to distortion energy theorem is given as follows
...............(1)
where 
is yield stress and 
is factor of safety
from equation (considering equality)
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A machine component is loaded so that stresses at the critical
location are σ 1 =...
please solve soon A machine element is loaded such that stress at a point are o1...
please solve soon
A machine element is loaded such that stress at a point are o1 20 kpsi , 02 = 0, and ga = -15 kpsi. The material has minimum yield strength in tension and compression of 60 kpsi. Determine the factor of safety using, a. Distortion-energy theory of failure- analytical approach b.Distortion-energy theory of failure- graphical approach 2 18* 12*
A machine element is loaded such that stress at a point are o1 20 kpsi , 02 =...
The state of stress at a critical static location of a machine member, as determined by...
The state of stress at a critical static location of a machine member, as determined by strain gauge measurements, is shown on the stress element below. 1) Determine the maximum principle stress, the minimum principal stress, the maximum shear stress, the angle ??, and the angle ??. Note: use the Mohr's circle method from Chapter 4. 2) Determine the factor of safety for this machine member using the distortion energy yield criterion (Von-Mises) from Chapter 5, if the material is...
A) A ductile hot-rolled steel bar has yield strength in tension and compression of 400 MPa...
A) A ductile hot-rolled steel bar has yield strength in tension and compression of 400 MPa Define Maximum shear stress, and Maximum normal stress for the following stress distribution: ?,-200 Mpa and ?,-200 Mpa, and Txysl 00 Mpa (All the other stresses are set to zero). safety factor using distortion energy theory, Maximum Normal stress theory, and maximum shear stress theory B) For the above material and stress distribution, what is the
Chapter 15, Reserve Problem 150 The stresses on the surface of a hard bronze component are...
Chapter 15, Reserve Problem 150 The stresses on the surface of a hard bronze component are shown. The yield strength of the bronze is Oy = 314 MPa. Assume Sy = 135 MPa and Sxy = 159 MPa. (a) What is the factor of safety predicted by the maximum-shear-stress theory of failure for the stress state shown? According to this theory, does the component fail? (b) What is the value of the Mises equivalent stress for the given state of...
2. Figure 2 below shows a crank loaded by a force F. The material used for...
2. Figure 2 below shows a crank loaded by a force F. The material used for the crank is steel AISI 4142, and its yield stress is 235 kpsi. Determine the critical load F by using the following different failure theories (assume factor of safety n-2): a. Maximum normal stress theory (MNS); b. Maximum shear stress theory (MSS); c. Distortion-energy theory (DE). Figure 2. A crank under a force F
Explanations and formulas used are greatly appreciated. The figure below shows a 1-in. solid round shaft...
Explanations and formulas used are greatly appreciated.
The figure below shows a 1-in. solid round shaft supported by self-aligning bearings at A and B. Attached to the shaft are two chain sprockets that are loaded as shown. What tensile yield strength must a ductile material have in order to provide a safety factor of 3 with respect to initial yielding at the point of the highest stress using the maximum- distortion-energy theory. Take F1 332 lb and F2 2F1. Submit...
Design of Machine Elements PROBLEM 1: A stationary shaft of 1-in-diameter and pulley subjected to a...
Design of Machine Elements
PROBLEM 1: A stationary shaft of 1-in-diameter and pulley subjected to a 2000-lb static load. Determine the following: (70 pts) 1) 2) 3) 4) 5) 6) 7) Bending Stress of Point A Transverse Shear of Point A Torsion Shear of Point A Principal stresses of Point A (o, ?2, and What is the safety factor using the Maximum Normal Stress Theory? What is the safety factor using the Maximum Shear Stress Theory? What is the safety...
The cantilever bar in the figure is made from AISI 1018 CD steel and is statically loaded
The cantilever bar in the figure is made from AISI 1018 CD
steel and is statically loaded with Fy = 800 N, and Fx = Fz = 0.
The fillet radius at the wall is 2 mm with theoretical stress
concentrations of 1.5 for bending, 1.2 for axial, and 2.1 for
torsion.Sut = 440 MPa = 64 kpsi, Sy = 370 MPa = 54 kpsi. Analyze the
stress situation in rod AB by obtaining the following
information.a) Determine the precise...
Question 1: The state of plane stress shown occurs at a critical point of a steel...
Question 1: The state of plane stress shown occurs at a critical point of a steel (@y 250MPa ) machine componenL 60 MPa Draw the Mohr's Cercle Determine the Principal Stresses Deternine the factor of safety with respect to yield, using (a) the maximum-shearing stress criterion, and (b) the maximum-distortion-energy criterion. 90 MPa 25 MPao
True or False 1. For a fatigue failure, a part always fails above the ultimate strength...
True or False 1. For a fatigue failure, a part always fails above the ultimate strength of the material. 2. For a ductile material, the tensile yield strength and the compressive yield strength are not equal 3. Mode I of crack propagation occurs due to compressive stress 4. Distortion energy theory is used to predict failure for brittle materials 5. Temperature does not affect the endurance limit of a material 6. For a fatigue failure, a part always fails above...
please solve soon
A machine element is loaded such that stress at a point are o1 20 kpsi , 02 = 0, and ga = -15 kpsi. The material has minimum yield strength in tension and compression of 60 kpsi. Determine the factor of safety using, a. Distortion-energy theory of failure- analytical approach b.Distortion-energy theory of failure- graphical approach 2 18* 12*
A machine element is loaded such that stress at a point are o1 20 kpsi , 02 =...
The state of stress at a critical static location of a machine member, as determined by strain gauge measurements, is shown on the stress element below. 1) Determine the maximum principle stress, the minimum principal stress, the maximum shear stress, the angle ??, and the angle ??. Note: use the Mohr's circle method from Chapter 4. 2) Determine the factor of safety for this machine member using the distortion energy yield criterion (Von-Mises) from Chapter 5, if the material is...
A) A ductile hot-rolled steel bar has yield strength in tension and compression of 400 MPa Define Maximum shear stress, and Maximum normal stress for the following stress distribution: ?,-200 Mpa and ?,-200 Mpa, and Txysl 00 Mpa (All the other stresses are set to zero). safety factor using distortion energy theory, Maximum Normal stress theory, and maximum shear stress theory B) For the above material and stress distribution, what is the
Chapter 15, Reserve Problem 150 The stresses on the surface of a hard bronze component are shown. The yield strength of the bronze is Oy = 314 MPa. Assume Sy = 135 MPa and Sxy = 159 MPa. (a) What is the factor of safety predicted by the maximum-shear-stress theory of failure for the stress state shown? According to this theory, does the component fail? (b) What is the value of the Mises equivalent stress for the given state of...
2. Figure 2 below shows a crank loaded by a force F. The material used for the crank is steel AISI 4142, and its yield stress is 235 kpsi. Determine the critical load F by using the following different failure theories (assume factor of safety n-2): a. Maximum normal stress theory (MNS); b. Maximum shear stress theory (MSS); c. Distortion-energy theory (DE). Figure 2. A crank under a force F
Explanations and formulas used are greatly appreciated.
The figure below shows a 1-in. solid round shaft supported by self-aligning bearings at A and B. Attached to the shaft are two chain sprockets that are loaded as shown. What tensile yield strength must a ductile material have in order to provide a safety factor of 3 with respect to initial yielding at the point of the highest stress using the maximum- distortion-energy theory. Take F1 332 lb and F2 2F1. Submit...
Design of Machine Elements
PROBLEM 1: A stationary shaft of 1-in-diameter and pulley subjected to a 2000-lb static load. Determine the following: (70 pts) 1) 2) 3) 4) 5) 6) 7) Bending Stress of Point A Transverse Shear of Point A Torsion Shear of Point A Principal stresses of Point A (o, ?2, and What is the safety factor using the Maximum Normal Stress Theory? What is the safety factor using the Maximum Shear Stress Theory? What is the safety...
The cantilever bar in the figure is made from AISI 1018 CD
steel and is statically loaded with Fy = 800 N, and Fx = Fz = 0.
The fillet radius at the wall is 2 mm with theoretical stress
concentrations of 1.5 for bending, 1.2 for axial, and 2.1 for
torsion.Sut = 440 MPa = 64 kpsi, Sy = 370 MPa = 54 kpsi. Analyze the
stress situation in rod AB by obtaining the following
information.a) Determine the precise...
Question 1: The state of plane stress shown occurs at a critical point of a steel (@y 250MPa ) machine componenL 60 MPa Draw the Mohr's Cercle Determine the Principal Stresses Deternine the factor of safety with respect to yield, using (a) the maximum-shearing stress criterion, and (b) the maximum-distortion-energy criterion. 90 MPa 25 MPao
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