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1. A static shaft element is loaded by stresses Ox= 119 MPa, Gy = 7 MPa...
Problem 3 (17 points) The two static forces are applied to a circular 1-in diameter shaft as shown. The shaft is ma...
Problem 3 (17 points) The two static forces are applied to a circular 1-in diameter shaft as shown. The shaft is made from 1045 CD Steel with a yield strength of 77 ksi. 8 in 1000 lbf 1 in dia. Cross section at the wall 800 lbf (2) a) Identify the location of the most critical stress element. (A. E, F or D?) (10) b) Determine the stresses and draw the stresses on the critical element identified in part a)....
A component experiences critical static stresses of ?x, ?y, and ?xy. The component is made of...
A component experiences critical static stresses of ?x, ?y, and ?xy. The component is made of grade 30 gray cast iron with Sut = 215 MPa and Suc = 750 MPa. Determine the factor of safety based on predicting failure by the Brittle Coulomb-Mohr theory. ?x =-500 MPa ?y =-200 MPa ?xy =0MPa
6. For the bearing with the largest radial load and without knowing the shaft diameter, what...
6. For the bearing with the largest radial load and without
knowing the shaft diameter, what would be the catalog rating for a
radially loaded ball bearing to withstand 1000 x 10e6 cycles with
90% reliability. The bearing manufacturer rates its bearing for a
million cycles.
7. A 10 mm diameter steel shaft is subject to bending stresses
only. The material has Sut = 1100 MPa and Sy = 950 MPa and a
fine-ground surface finish.
1. Determine the factor...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
A structure has the stresses on its most critical point (a) as shown. If the yield...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
A structure has the stresses on its most critical point (a) as shown. If the yield...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
A structure has the stresses on its most critical point (a) as shown. If the yield...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
Problem #2 [50 Points, 10 each) A structure has the stresses on its most critical point...
Problem #2 [50 Points, 10 each) A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to...
A 1-in, constant diameter shaft is loaded with forces at A and B as shown, with...
A 1-in, constant diameter shaft is loaded with forces at A and B as shown, with ground reaction forces at O and C. The shaft also transmits a torque of 1500 lbf in throughout the length of the shaft. The shaft has a tensile yield strength of 130 kpsi. 460 lbf 575 lbf -12 in 18 in 1500 lbf-in А B ° To |--10 in- RO Rc Determine the minimum static factor of safety using the maximum-shear-stress failure theory, The...
A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R and R. The shaft is loaded with a transverse load of 13 kN as shown in the figure.
A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R and R. The shaft is loaded with a transverse load of 13 kN as shown in the figure. The shaft is made from AISI 1045 hot-rolled steel. The surface has been machined. Determine (a) the minimum static factor of safety based on yielding. (b) the endurance limit, adjusted as necessary with Marin factors. (c) the minimum fatigue factor of safety based on achieving infinite life. (d) If the fatigue factor...
Problem 3 (17 points) The two static forces are applied to a circular 1-in diameter shaft as shown. The shaft is made from 1045 CD Steel with a yield strength of 77 ksi. 8 in 1000 lbf 1 in dia. Cross section at the wall 800 lbf (2) a) Identify the location of the most critical stress element. (A. E, F or D?) (10) b) Determine the stresses and draw the stresses on the critical element identified in part a)....
6. For the bearing with the largest radial load and without
knowing the shaft diameter, what would be the catalog rating for a
radially loaded ball bearing to withstand 1000 x 10e6 cycles with
90% reliability. The bearing manufacturer rates its bearing for a
million cycles.
7. A 10 mm diameter steel shaft is subject to bending stresses
only. The material has Sut = 1100 MPa and Sy = 950 MPa and a
fine-ground surface finish.
1. Determine the factor...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
Problem #2 [50 Points, 10 each) A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to...
A 1-in, constant diameter shaft is loaded with forces at A and B as shown, with ground reaction forces at O and C. The shaft also transmits a torque of 1500 lbf in throughout the length of the shaft. The shaft has a tensile yield strength of 130 kpsi. 460 lbf 575 lbf -12 in 18 in 1500 lbf-in А B ° To |--10 in- RO Rc Determine the minimum static factor of safety using the maximum-shear-stress failure theory, The...
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