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6. A drone motor can apply a maximum torque of T = 2.1 N. m. At the start of the rotation, the propeller gets stuck and cannot spin, additionally causing a maximum bending moment of M = 1.0 N. m. The motor shaft is made of a hardened tool steel with a diameter of d = 1.5 mm and mechanical properties of E = 210 GPa, v = 0.32, K₁ = 42 MPa√√m and σ = 5.2 GPa. A small scratch of depth a is made on the surface of the shaft. a. What are the principle stresses in the shaft? b. If we assume the shaft fails in a brittle manner, will the shaft fail? c. How deep can the scratch be if we want a fracture factor of safety of X- = 2? Assume the worst- case crack is oriented orthogonal to the max principal stress (σ₁) and the concentration factor is Y = 1.12. wwwwww M T d Surface Scratch

6. A drone motor can apply a maximum torque of T = 2.1 N. m. At the start of the rotation, the propeller gets stuck and cannot spin, additionally causing a maximum bending moment of M = 1.0 N. m. The motor shaft is made of a hardened tool steel with a diameter of d = 1.5 mm and mechanical properties of E = 210 GPa, v = 0.32, K₁ = 42 MPa√√m and σ = 5.2 GPa. A small scratch of depth a is made on the surface of the shaft. a. What are the principle stresses in the shaft? b. If we assume the shaft fails in a brittle manner, will the shaft fail? c. How deep can the scratch be if we want a fracture factor of safety of X- = 2? Assume the worst- case crack is oriented orthogonal to the max principal stress (σ₁) and the concentration factor is Y = 1.12. wwwwww M T d Surface Scratch

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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6. A drone motor can apply a maximum torque of T = 2.1 N. m. At the start of the rotation, the propeller gets stuck and cannot spin, additionally causing a maximum bending moment of M = 1.0 N. m. The motor shaft is made of a hardened tool steel with a diameter of d = 1.5 mm and mechanical properties of E = 210 GPa, v = 0.32, K₁ = 42 MPa√√m and σ = 5.2 GPa. A small scratch of depth a is made on the surface of the shaft. a. What are the principle stresses in the shaft? b. If we assume the shaft fails in a brittle manner, will the shaft fail? c. How deep can the scratch be if we want a fracture factor of safety of X- = 2? Assume the worst- case crack is oriented orthogonal to the max principal stress (σ₁) and the concentration factor is Y = 1.12. wwwwww M T d Surface Scratch
Transcribed Image Text:6. A drone motor can apply a maximum torque of T = 2.1 N. m. At the start of the rotation, the propeller gets stuck and cannot spin, additionally causing a maximum bending moment of M = 1.0 N. m. The motor shaft is made of a hardened tool steel with a diameter of d = 1.5 mm and mechanical properties of E = 210 GPa, v = 0.32, K₁ = 42 MPa√√m and σ = 5.2 GPa. A small scratch of depth a is made on the surface of the shaft. a. What are the principle stresses in the shaft? b. If we assume the shaft fails in a brittle manner, will the shaft fail? c. How deep can the scratch be if we want a fracture factor of safety of X- = 2? Assume the worst- case crack is oriented orthogonal to the max principal stress (σ₁) and the concentration factor is Y = 1.12. wwwwww M T d Surface Scratch
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