by: 40 -60 MPa 0 -60 40 50 Determine the uni-axial tensile yield strength of the material according to (a) maximum shearing stress theory, and (b) Octahedral shearing stress theory. 4.5. Determine the width t of the cantilever of height 2t and length 0.25 m subjected to a 450 N concentrated force at its free end. Apply the maximum energy of distortion theory. The tensile and compressive strengths of the material are both 280 MPa.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
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4.3. At a point in a structural member, yielding occurred under a state of stress given
by:
40
40
50
-60 MPa
-60
Determine the uni-axial tensile yield strength of the material according to (a)
maximum shearing stress theory, and (b) Octahedral shearing stress theory.
4.5. Determine the width t of the cantilever of height 2t and length 0.25 m subjected
to a 450 N concentrated force at its free end. Apply the maximum energy of distortion
theory. The tensile and compressive strengths of the material are both 280 MPa.
4.6. Determine the required diameter of a steel transmission shaft 10 m in length and
of yield strength 350 MPa. In order to resist a torque of up to 500 N.m. The shaft is
supported by frictionless bearings at its ends. Design the shaft according to the
maximum shear stress theory, selecting a factor of safety of 1.5, (a) neglecting the
shaft weight, and (b) including the effect of shaft weight. Use y = 77 kN/m as the
weight per unit volume of steel.
190 MPa
30 MPa
40 MPa
4.11. A steel rod of diameter d = 50 mm (oyp = 260 MPa) supports an axial load P =
50R and vertical load R acting at the end of an 0.8 m long arm as in the following
figure. Given a factor of safety n = 2, compute the largest permissible value of R
using the following criteria: (a) maximum shearing stress and (b) maximum energy of
distortion.
1.2 m
0.8 m
Transcribed Image Text:4.3. At a point in a structural member, yielding occurred under a state of stress given by: 40 40 50 -60 MPa -60 Determine the uni-axial tensile yield strength of the material according to (a) maximum shearing stress theory, and (b) Octahedral shearing stress theory. 4.5. Determine the width t of the cantilever of height 2t and length 0.25 m subjected to a 450 N concentrated force at its free end. Apply the maximum energy of distortion theory. The tensile and compressive strengths of the material are both 280 MPa. 4.6. Determine the required diameter of a steel transmission shaft 10 m in length and of yield strength 350 MPa. In order to resist a torque of up to 500 N.m. The shaft is supported by frictionless bearings at its ends. Design the shaft according to the maximum shear stress theory, selecting a factor of safety of 1.5, (a) neglecting the shaft weight, and (b) including the effect of shaft weight. Use y = 77 kN/m as the weight per unit volume of steel. 190 MPa 30 MPa 40 MPa 4.11. A steel rod of diameter d = 50 mm (oyp = 260 MPa) supports an axial load P = 50R and vertical load R acting at the end of an 0.8 m long arm as in the following figure. Given a factor of safety n = 2, compute the largest permissible value of R using the following criteria: (a) maximum shearing stress and (b) maximum energy of distortion. 1.2 m 0.8 m
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ISBN:
9781111988609
Author:
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Publisher:
Cengage Learning