Task topic Torque:
Exercises 3.1 & 3.24
a) Find the maximum shear stress caused by a torque of 40 kips ¨ and the solid axle Aluminum 3 inch in diameter, shown below. b) Solve the subsection "a" assuming that the shaft has been replaced by a hole with the same outside diameter and 1 inch inside diameter.
c) Determine the angle of twist caused by a torque T of 40 kips ¨ and the aluminum shaft 3-inch diameter, shown in the figure below (G = 3.7 x 10 6 psi). d) Solve the previous section assuming that the solid axle has been replaced by a hollow shaft with the same outside diameter and 1 inch inside diameter.
Exercise 3.2 & 3.23
a) Find the torque T causing a sharp maximum of 45 MPa the hollow cylindrical shaft shown below. b) find the same shear stress caused by the same torque on a solid shaft with the same cross-sectional area.
c) Find the torque T that gives rise to a torsion angle of 3 degrees in the hollow cylinder of steel shown in the figure below ( G = 77 GPa ) . d) Determine the angle of torque produced by the same torque T a solid cylindrical shaft of the same material and with the same cross section.
Exercises 3.3
applies a torque of 1.75 kN • m the solid cylinder of the figure below. Halle: a) the maximum shear, b) the percentage of torque taken by the kernel of 25 mm diameter.
Exercise 3.4
a) Find the torque to be applied to solid axle 3-inch diameter without exceeding allowable shearing of 12 ksi . b) Solve the subsection "a" assuming that it replaces a solid shaft hollow shaft of equal area and an inside diameter equal to half the outside.
Exercise 3.5 & 3.27
The torques shown in the figure below, are exerted on the pulleys A , B and C . If both axles are solid, find the maximum shear stress: a) on the axis AB , b) on the shaft BC.
The torques are illustrated in the figure are exerted on the pulleys A , B and C . Knowing that both axles are solid and made of brass (G = 39 GPa), torsion angle is in between: c) A and B , D) A and C .
Exercises 3.6 & 3.7
Normally application, the electric motor, shown below, has a torque of 12 kips ¨ and on E . Knowing that each axle is solid, find the maximum shear stress: a) on the shaft BC, b) on the shaft CD, c) in the axis of .
Now suppose we have drilled a hole 1 inch in diameter on each axis, find the maximum shear stress, d) on the shaft BC , e) on the shaft CD , f) on the axis of .
3.8 Exercises
The torques shown in the figure below, are exerted on the pulleys A , B, C and D . Knowing that the axles are solid, find: a) the axis on which occurs the maximum shear stress, b) the magnitude of that effort.
3.25 Exercises
Halle maximum permissible diameter of a steel bar of 10 foot length (G = 11.2 x 10 6 psi), if the bar has to be subjected to a torsion angle of 90 degrees but not exceeding a shear stress of 15 ksi .
3.26 Exercises
While an oil well is being drilled at 2 500 m depth shows that the top of the drill pipe is used, 200 mm diameter steel ( G = 77 GPa ), rotating 2.5 revolutions before the piercing tip begins to operate. Find the maximum shear stress that causes the torque on the pipe.
Exercises 3.28 & 3.29
The electric motor, shown in the figure below, has a torque of 6 kips ¨ and the Aluminum shaft ABCD when rotated at constant speed. Knowing that G = 3.7 x 10 6 psi and torques exerted on the pulleys B and C are indicated in the figure, find the angle of twist between : a) B and C , b) B and D .
Now suppose a hole is drilled 1-inch in diameter around the axis, find the angle of twist between: c) B and C , d) B and D .
3.30 Exercises
The torques shown in the figure below, exerted on the pulleys A, B , C and D . If each axle is solid, 120 mm long and made of steel ( G = 77 GPa ), find the angle of twist between: a) A and C, b) A and E .
Exercises 3.31 & 3.32
solid shaft AB has a diameter d s = 1.5 in. and is made of steel with G = 11.2 x 10 6 psi and t adm = 12 ksi , while the CD sleeve is Brass with G = 5.6 x 10 6 psi and adm t = 7 ksi . Find a) the maximum angle that can be rotated end A .
solid shaft AB has a diameter s d = 1.75 in. and is made of steel with G = 11.2 x 10 6 psi and t adm = 12 ksi, while the CD sleeve Brass is G = 5.6 x 10 6 psi and t = adm 7 ksi. Halle: b) the maximum torque T that can be applied if A should not exceed the allowable stresses given and if the angle of twist of the CD sleeve should not exceed 0.375 °. c) the corresponding rotation angle end A .
To download this file in MS Word format click here . (available until April 4)
To correctly view this file you need the Micro Soft Office or Open Office Free .
To download this PDF file click here .
To correctly view this file you need the Adobe Reader .
0 comments:
Post a Comment