Title | CHapter 7 and 16 |
---|---|
Course | Mechanical Component Design |
Institution | Oregon State University |
Pages | 18 |
File Size | 999.5 KB |
File Type | |
Total Downloads | 43 |
Total Views | 145 |
Tutorial questions with detailed solutions for machine component design...
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A shaft is loaded in bending and torsion such that Ma = 68 N·m, Ta = 43.784 N·m, Mm = 53.43 N·m, and Tm = 34 N·m. For the shaft, Su = 700 MPa and Sy = 560 MPa, and a fullycorrected endurance limit of Se = 210 MPa is assumed. Let Kf = 2.2 and Kfs = 1.8. With adesign factor of 2.0, determine the minimum acceptable diameter of the shaft using the methods mentioned in the subsection.
Problem 07.001 Determination of minimum shaft diameter using DEGerber, DE-ASME Elliptic, DESoderberg, and DEGoodman criteria
Difficulty: Medium
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Determine the diameter of the shaft for the given loadings, material properties, and fatigue stress concentration factors using the DE-Gerber criterion. The diameter of the shaft is 25.607
mm.
Hints Hint #1
References Numeric Response
Problem 07.001.a Determination of minimum shaft diameter using DEGerber criterion
Difficulty: Medium
Determine the diameter of the shaft for the given loadings, material properties, and fatigue stress concentration factors using the DE-Gerber criterion. The diameter of the shaft is
25.607 ± 2% mm.
Explanation:
Using the DE-Gerber, Eq. (7-10) can be shown to be https://ezto.mheducation.com/hm.tpx?todo=C15PrintView&wid=13252711622969815&role=student&sid=13252712286908765
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Determine the diameter of the shaft for the given loadings, material properties, and fatigue stress concentration factors using the DE-Ellipitic criterion. The diameter of the shaft is 25.524
mm.
Hints Hint #1
References Numeric Response
Problem 07.001.b Determination of minimum shaft diameter using DEASME Elliptic criterion
Difficulty: Medium
Determine the diameter of the shaft for the given loadings, material properties, and fatigue stress concentration factors using the DE-Ellipitic criterion. The diameter of the shaft is
25.524 ± 2% mm.
Explanation:
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Using DE-Elliptic, Eq. (7-12) can be shown to be
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Determine the diameter of the shaft for the given loadings, material properties, and fatigue stress concentration factors using the DE-Soderberg criterion. The diameter of the shaft is 27.432
mm.
Hints Hint #1
References Numeric Response
Problem 07.001.c Determination of minimum shaft diameter using DESoderberg criterion
Difficulty: Medium
Determine the diameter of the shaft for the given loadings, material properties, and fatigue stress concentration factors using the DE-Soderberg criterion. The diameter of the shaft is
27.432 ± 2% mm.
Explanation:
Using DE-Soderberg, Eq. (7-14) can be shown to be https://ezto.mheducation.com/hm.tpx?todo=C15PrintView&wid=13252711622969815&role=student&sid=13252712286908765
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Determine the diameter of the shaft for the given loadings, material properties, and fatigue stress concentration factors using the DE-Goodman criterion. The diameter of the shaft is 27.01
mm.
Hints Hint #1
References Numeric Response
Problem 07.001.d Determination of minimum shaft diameter using DEGoodman criterion
Difficulty: Medium
Determine the diameter of the shaft for the given loadings, material properties, and fatigue stress concentration factors using the DE-Goodman criterion. The diameter of the shaft is
27.01 ± 2% mm.
Explanation:
Using DE-Goodman: Eq. (7-8) can be shown to be https://ezto.mheducation.com/hm.tpx?todo=C15PrintView&wid=13252711622969815&role=student&sid=13252712286908765
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A rotating step shaft is loaded as shown, where the forcesFA and FB are constant at 590 lbf and 295 lbf, respectively, and the torque T alternates from 0 to 1800 lbf·in. The shaft is to be considered simply supported at points O and C and is made of AISI 1045 CD steel with a fully corrected endurance limit ofSe = 40 kpsi. Let Kf = 2.1 and Kfs = 1.7. Take the value of design factor to be 2.5.
Problem 07.005 Determination of minimum shaft diameter using DEGerber and DEGoodman criteria
Difficulty: Medium
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Determine the minimal acceptable diameter of section BC using the DE-Gerber criterion. The minimal acceptable diameter of section BC is 1.3368
in.
Hints Hint #1
References Numeric Response
Problem 07.005.a Determination of minimum shaft diameter using DEGerber criterion
Difficulty: Medium
Determine the minimal acceptable diameter of section BC using the DE-Gerber criterion.
The minimal acceptable diameter of section BC is
1.3368 ± 2% in.
Explanation: Given: AISI 1045 CD steel, Se = 40 kpsi, Kf = 2.1, Kfs = 1.7 and nf = 2.5. From Table A-20, Sy = 77 kpsi and Sut = 91 kpsi.
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Mm = 0, Ma = 1668.772004 lbf٠in,
Using the DE-Gerber criterion,
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Determine the minimal acceptable diameter of section BC using the DE-Goodman criterion. The minimal acceptable diameter of section BC is 1.402
in.
Hints Hint #1
References Numeric Response
Problem 07.005.b Determination of minimum shaft diameter using DE Goodman criterion
Difficulty: Medium
Determine the minimal acceptable diameter of section BC using the DE-Goodman criterion.
The minimal acceptable diameter of section BC is
1.402 ± 2% in.
Explanation: Given: AISI 1045 CD steel, Se = 40 kpsi, Kf = 2.1, Kfs = 1.7, and nf = 2.5. From Table A-20, Sy = 77 kpsi and Sut = 91 kpsi.
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Mm = 0, Ma = 1668.772004 lbf٠in,
Using the DE-Goodman criterion,
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A single-geared blanking press has a stroke of 220 mm and a rated capacity of 320 kN. A cam-driven ram is assumed to be capable of delivering the full press load at constant force during the last 15% of a constant-velocity stroke. The camshaft has an average speed of 90 rev/min and is geared to the flywheel shaft at a 6:1 ratio. The total work done is to include an allowance of 16% for friction. The coefficient of speed fluctuation is 0.1. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Problem 16.024 Flywheel mass and energy fluctuation for a blanking press DEPENDENT MULTIPART PROBLEM ASSIGN ALL PARTS
Difficulty: Medium
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Estimate the maximum energy fluctuation in J. (You must provide an answer before moving to the next part.) The maximum energy fluctuation E2 – E1 is 9617.1429
J.
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Problem 16.024.a Energy fluctuation
Difficulty: Hard
Estimate the maximum energy fluctuation in J. (You must provide an answer before moving to the next part.) The maximum energy fluctuation E2 – E1 is
9617.1429 ± 2% J.
Explanation: The useful work performed in one revolution of the crank-shaft is
Accounting for friction, the total work done in one revolution is
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Since 15% of the crank-shaft stroke accounts for 7.5% of a crank-shaft revolution, the energy fluctuation is
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What is the mass moment of inertia for the flywheel? (You must provide an answer before moving to the next part.) The mass moment of inertia for the flywheel I is 30.1265
N⋅m⋅s2.
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Problem 16.024.b Difficulty: Hard Mass moment of inertia of the flywheel
What is the mass moment of inertia for the flywheel? (You must provide an answer before moving to the next part.) The mass moment of inertia for the flywheel I is
30.1265 ± 2% N⋅m⋅s2.
Explanation:
Since Cs = 0.10, https://ezto.mheducation.com/hm.tpx?todo=C15PrintView&wid=13252711622969815&role=student&sid=13252712286908765
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Find the rim mass for an effective diameter of 1.2 m. The rim mass for an effective diameter of 1.2 mm is 83.6848
kg.
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Problem 16.024.c Mass of the flywheel
Difficulty: Hard
Find the rim mass for an effective diameter of 1.2 m. The rim mass for an effective diameter of 1.2 mm is
83.6848 ± 2% kg.
Explanation:
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