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The shaft shown in the following figure is 200 mm long between self-aligning bearings at "A" and "B". Belt forces are applied to the center pulley as shown. The left end of the shaft is connected to a clutch by means of a flexible coupling. Nothing is attached to the right end of the beam (i.e. The right end of the shaft is free to rotate.). 20-mm- dia. shaft 100 Connected to flexible coupling and clutch 750 N 100 B Free end of shaft 2500 N 120-mm-dia. sheave a.) Determine and show the stress components on volumetric elements located at the side (point "S" where the maximum normal stress due to bending will occur) and at the top (point "T" where the maximum combined torsional and transverse shear stress will occur). Note that points "T" and "S" are adjacent to the pulley. b.) Find the principle stresses (₁, 02, and σ3) and the absolute maximum shear stress "TAbs Max" for each of the two locations "S" and "T". c.) Comparing points "S" and "T", what is the maximum shear stress in the shaft material and what is the maximum normal stress in the shaft material? = d.) If the shaft is made from 1020 Hot Rolled steel which has a tensile yield strength of Sy = 290 MPa and a shear yield strength of about 58% of the tensile yield strength (i.e. Ssy .58 (Sy)), what is the Factor of Safety corresponding to normal stress and what is the factor of safety corresponding to shear stress? (Assume failure of the steel is defined by yielding.) Partial Ans. (Point "T") 0₁ = 73.74 MPa, 0₂ = -73.74 MPa, 03 = 0, (Point "S") 0₁ = 226.7 MPa, 0₂ = -19.7 MPa, 03 = 0, TAbs Max-material = 123.2 MPa max-material = 226.7 MPa

The shaft shown in the following figure is 200 mm long between self-aligning bearings at "A" and "B". Belt forces are applied to the center pulley as shown. The left end of the shaft is connected to a clutch by means of a flexible coupling. Nothing is attached to the right end of the beam (i.e. The right end of the shaft is free to rotate.). 20-mm- dia. shaft 100 Connected to flexible coupling and clutch 750 N 100 B Free end of shaft 2500 N 120-mm-dia. sheave a.) Determine and show the stress components on volumetric elements located at the side (point "S" where the maximum normal stress due to bending will occur) and at the top (point "T" where the maximum combined torsional and transverse shear stress will occur). Note that points "T" and "S" are adjacent to the pulley. b.) Find the principle stresses (₁, 02, and σ3) and the absolute maximum shear stress "TAbs Max" for each of the two locations "S" and "T". c.) Comparing points "S" and "T", what is the maximum shear stress in the shaft material and what is the maximum normal stress in the shaft material? = d.) If the shaft is made from 1020 Hot Rolled steel which has a tensile yield strength of Sy = 290 MPa and a shear yield strength of about 58% of the tensile yield strength (i.e. Ssy .58 (Sy)), what is the Factor of Safety corresponding to normal stress and what is the factor of safety corresponding to shear stress? (Assume failure of the steel is defined by yielding.) Partial Ans. (Point "T") 0₁ = 73.74 MPa, 0₂ = -73.74 MPa, 03 = 0, (Point "S") 0₁ = 226.7 MPa, 0₂ = -19.7 MPa, 03 = 0, TAbs Max-material = 123.2 MPa max-material = 226.7 MPa

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The shaft shown in the following figure is 200 mm long between self-aligning bearings at "A" and "B". Belt forces are applied to the center pulley as shown. The left end of the shaft is connected to a clutch by means of a flexible coupling. Nothing is attached to the right end of the beam (i.e. The right end of the shaft is free to rotate.). 20-mm- dia. shaft 100 Connected to flexible coupling and clutch 750 N 100 B Free end of shaft 2500 N 120-mm-dia. sheave Partial Ans. (Point "T") 01 73.74 MPa, (Point "S") 0₁226.7 MPa, TAbs Max-material = 123.2 MPa a.) Determine and show the stress components on volumetric elements located at the side (point "S" where the maximum normal stress due to bending will occur) and at the top (point "T" where the maximum combined torsional and transverse shear stress will occur). Note that points "T" and "S" are adjacent to the pulley. b.) Find the principle stresses (₁,02, and 03) and the absolute maximum shear stress "TAbs Max for each of the two locations "S" and "T". c.) Comparing points "S" and "T", what is the maximum shear stress in the shaft material and what is the maximum normal stress in the shaft material? = d.) If the shaft is made from 1020 Hot Rolled steel which has a tensile yield strength of Sy 290 MPa and a shear yield strength of about 58% of the tensile yield strength (i.e. Ssy .58 (Sy)), what is the Factor of Safety corresponding to normal stress and what is the factor of safety corresponding to shear stress? (Assume failure of the steel is defined by yielding.) 02-73.74 MPa, 03 = 0, 0₂-19.7 MPa, 03 = 0, "max-material = 226.7 MPa If the shaft in problem 2 is rotating at 2500 rpm when being driven by a small diesel engine through the clutch at end "A", what power (in hp) is the engine delivering to the shaft? Which direction is the shaft rotating (CW or CCW) when viewed from end "A"? Partial Ans. 36.85 hp
Transcribed Image Text:The shaft shown in the following figure is 200 mm long between self-aligning bearings at "A" and "B". Belt forces are applied to the center pulley as shown. The left end of the shaft is connected to a clutch by means of a flexible coupling. Nothing is attached to the right end of the beam (i.e. The right end of the shaft is free to rotate.). 20-mm- dia. shaft 100 Connected to flexible coupling and clutch 750 N 100 B Free end of shaft 2500 N 120-mm-dia. sheave Partial Ans. (Point "T") 01 73.74 MPa, (Point "S") 0₁226.7 MPa, TAbs Max-material = 123.2 MPa a.) Determine and show the stress components on volumetric elements located at the side (point "S" where the maximum normal stress due to bending will occur) and at the top (point "T" where the maximum combined torsional and transverse shear stress will occur). Note that points "T" and "S" are adjacent to the pulley. b.) Find the principle stresses (₁,02, and 03) and the absolute maximum shear stress "TAbs Max for each of the two locations "S" and "T". c.) Comparing points "S" and "T", what is the maximum shear stress in the shaft material and what is the maximum normal stress in the shaft material? = d.) If the shaft is made from 1020 Hot Rolled steel which has a tensile yield strength of Sy 290 MPa and a shear yield strength of about 58% of the tensile yield strength (i.e. Ssy .58 (Sy)), what is the Factor of Safety corresponding to normal stress and what is the factor of safety corresponding to shear stress? (Assume failure of the steel is defined by yielding.) 02-73.74 MPa, 03 = 0, 0₂-19.7 MPa, 03 = 0, "max-material = 226.7 MPa If the shaft in problem 2 is rotating at 2500 rpm when being driven by a small diesel engine through the clutch at end "A", what power (in hp) is the engine delivering to the shaft? Which direction is the shaft rotating (CW or CCW) when viewed from end "A"? Partial Ans. 36.85 hp
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