The figure (not drawn to scale) shows a metallic cylindrical column submitted to a combined load: bending and torsion. The column contains an hemispherical groove of radius r, located at a distance L from the point of application of the loads.
The figure (not drawn to scale) shows a metallic cylindrical column submitted to a combined load: bending and torsion. The column contains an hemispherical groove of radius r, located at a distance L from the point of application of the loads.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.18P: A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed...
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![VP
The figure (not drawn to scale) shows a metallic cylindrical
column submitted to a combined load: bending and torsion. The
column contains an hemispherical groove of radius r, located at a
distance L from the point of application of the loads.
You are given
the column diameter D = 68 mm,
the groove radius r = 6 mm,
the distance L= 200 mm,
the bending load P=5 kN,
and the torque T = 600 N.m.
The material data are
Young's modulus E = 122 GPa
Shear Modulus G = 55 GPa
Poisson's ratio v = 0.1
and Yield strength oy = 380 MPa.
a) Write a numbered list of the calculation steps required to
obtain the factor of safety in yielding based on the maximum
distortion energy (Von Mises) criterion.
Enter your answer in the box below](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10ce3489-9446-4c55-ae98-03c9ac4cb18f%2Fa4ef49de-cebd-4254-9ef5-4caca3c2539e%2F1455kfk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:VP
The figure (not drawn to scale) shows a metallic cylindrical
column submitted to a combined load: bending and torsion. The
column contains an hemispherical groove of radius r, located at a
distance L from the point of application of the loads.
You are given
the column diameter D = 68 mm,
the groove radius r = 6 mm,
the distance L= 200 mm,
the bending load P=5 kN,
and the torque T = 600 N.m.
The material data are
Young's modulus E = 122 GPa
Shear Modulus G = 55 GPa
Poisson's ratio v = 0.1
and Yield strength oy = 380 MPa.
a) Write a numbered list of the calculation steps required to
obtain the factor of safety in yielding based on the maximum
distortion energy (Von Mises) criterion.
Enter your answer in the box below
![b) Calculate the factor of safety in yielding based on the
maximum energy (Von Mises) criterion.
The answer is acceptable within a tolerance of .1
Answers out of this +/-0.1 tolerance, but within a 10% tolerance
will score 8 marks
Note that the F.O.S can be lower than 1 in this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10ce3489-9446-4c55-ae98-03c9ac4cb18f%2Fa4ef49de-cebd-4254-9ef5-4caca3c2539e%2Fybecozf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:b) Calculate the factor of safety in yielding based on the
maximum energy (Von Mises) criterion.
The answer is acceptable within a tolerance of .1
Answers out of this +/-0.1 tolerance, but within a 10% tolerance
will score 8 marks
Note that the F.O.S can be lower than 1 in this question.
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