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600 N Problem 5: Fatigue A bicycle crank experiences cyclic loading due to the force applied by the rider's feet. The maximum stress occurs at the angle shown. Assume the minimum stress is zero (the rider applies no force on the upstroke). The rider applies a force of 600 N. Neglect torsion in the crank. The crank is 165 mm long and has a rectangular 15 mm G 165 mm ☑ 12 mm cross-section with a width of 12 mm and height of 15 mm. It's made of steel: Sy = 290 MPa, Sut = 360 MPa, Se = 110 MPa, σ = 460 MPa, b = -0.1. a) Calculate the safety factor against yielding on the first pedal stroke using the max. shear stress criterion.

600 N Problem 5: Fatigue A bicycle crank experiences cyclic loading due to the force applied by the rider's feet. The maximum stress occurs at the angle shown. Assume the minimum stress is zero (the rider applies no force on the upstroke). The rider applies a force of 600 N. Neglect torsion in the crank. The crank is 165 mm long and has a rectangular 15 mm G 165 mm ☑ 12 mm cross-section with a width of 12 mm and height of 15 mm. It's made of steel: Sy = 290 MPa, Sut = 360 MPa, Se = 110 MPa, σ = 460 MPa, b = -0.1. a) Calculate the safety factor against yielding on the first pedal stroke using the max. shear stress criterion.

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
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Problem 5: Fatigue A bicycle crank experiences cyclic loading due to the force applied by the rider's feet. The maximum stress occurs at the angle shown. Assume the minimum stress is zero (the rider applies no force on the upstroke). The rider applies a force of 600 N. Neglect torsion in the crank. 15 mm The crank is 165 mm long and has a rectangular 600 N 0 12 mm 165 mm cross-section with a width of 12 mm and height of 15 mm. It's made of steel: Sy = 290 MPa, Sut = 360 MPa, Se = 110 MPa, σ = 460 MPa, b = -0.1. a) Calculate the safety factor against yielding on the first pedal stroke using the max. shear stress criterion. b) What is the expected number of cycles to failure, N₂? ny = N₁ = c) You wish to redesign the crank for infinite life with a safety factor of n = 1.5. What is the minimum cross-section height to achieve this, without changing any other parameters?
Transcribed Image Text:Problem 5: Fatigue A bicycle crank experiences cyclic loading due to the force applied by the rider's feet. The maximum stress occurs at the angle shown. Assume the minimum stress is zero (the rider applies no force on the upstroke). The rider applies a force of 600 N. Neglect torsion in the crank. 15 mm The crank is 165 mm long and has a rectangular 600 N 0 12 mm 165 mm cross-section with a width of 12 mm and height of 15 mm. It's made of steel: Sy = 290 MPa, Sut = 360 MPa, Se = 110 MPa, σ = 460 MPa, b = -0.1. a) Calculate the safety factor against yielding on the first pedal stroke using the max. shear stress criterion. b) What is the expected number of cycles to failure, N₂? ny = N₁ = c) You wish to redesign the crank for infinite life with a safety factor of n = 1.5. What is the minimum cross-section height to achieve this, without changing any other parameters?
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