Torque vs. angle of twist data for a solid round shaft of 2024-T351 Aluminum alloy are...

Transcribed Image Text:

Torque vs. angle of twist data for a solid round shaft of 2024-T351 Aluminum alloy are shown below The radius of the shaft is r= 10 mm and the length L= 200 mm. 400 350 300 250 200 150 100 50 2 6. 8 10 12 14 16 18 20 e (angle of twist), degrees Torque, N-m (a) Find the modulus of rigidity of the material based on the above data. (careful with degrees and radians!) (b) Find the shear yield strength of the material, t.. In order to keep track of the strains in the solid shaft described in part 1(a)-(b). two strain gages were placed midspan (@ L/2) on the exterior of the shaft one along the axial direction (y-axis) and one at a 30 degree angle with respect to the axial (y-axis) direction as shown. &C Ec Z4 B 30° B A T L/2 EA (c) What are the strain gage measurements right before t, is reached? (Hint: use Mohr circle, and derive general equations before substitution) (d) It was later discovered that an unknown axial force was accidentally imposed on the shaft in addition to the torque. If the measured strains are ɛ, = 205 u m/m and & = 335 u m/m find the magnitude of the axial force P. (Hint: before you calculate amything, draw Mohr circle as guidance) Torque vs. angle of twist data for a solid round shaft of 2024-T351 Aluminum alloy are shown below The radius of the shaft is r= 10 mm and the length L= 200 mm. 400 350 300 250 200 150 100 50 2 6. 8 10 12 14 16 18 20 e (angle of twist), degrees Torque, N-m (a) Find the modulus of rigidity of the material based on the above data. (careful with degrees and radians!) (b) Find the shear yield strength of the material, t.. In order to keep track of the strains in the solid shaft described in part 1(a)-(b). two strain gages were placed midspan (@ L/2) on the exterior of the shaft one along the axial direction (y-axis) and one at a 30 degree angle with respect to the axial (y-axis) direction as shown. &C Ec Z4 B 30° B A T L/2 EA (c) What are the strain gage measurements right before t, is reached? (Hint: use Mohr circle, and derive general equations before substitution) (d) It was later discovered that an unknown axial force was accidentally imposed on the shaft in addition to the torque. If the measured strains are ɛ, = 205 u m/m and & = 335 u m/m find the magnitude of the axial force P. (Hint: before you calculate amything, draw Mohr circle as guidance)