Edupanda » Strength of materials » Torsion » Statically Determinate
List of examples
Example 1
A two-stage shaft with dimensions d = 6 cm was permanently attached with the left end and loaded with moments of 20 and 30 kNm as shown in the drawing. Assume G = 80 GPa. Calculate and draw diagrams of torsional moments, tangential stresses and torsion angle: \ (M (x), \ tau (x), \ varphi (x). \)
Example 2
Calculate the highest value of the moment M that can be loaded on the shaft shown in the drawing below and the total torsion (twist) angle of the shaft. Data: \ (d, l, G, k_s \).
Example 3
A two-stage shaft with dimensions 2 / 3D and D = 10cm was fixed permanently with the right end and loaded with moments of 20 and 60 kNm as shown in the drawing. Assume G = 80 GPa. Calculate and draw diagrams of the torsional moments, the unit twist angle and the twist angle: \ (M (x), \ Delta l (x), \ tau (x) \). Calculate the stresses on the alpha section.
Example 4
The two-stage shaft was permanently attached to the left end and loaded with moments of 30 and 70 kNm as shown in the drawing. Assume G = 80 GPa. Calculate and draw diagrams of torsional moments, tangential stresses and torsion angle: \ (M (x), \ tau (x), \ varphi (x) \). The allowable twist angle \ (\ varphi_ {dop} = 0.2 \ ^ o/m \). Determine the bar diameter D.
Example 6
Calculate the total angle of torsion of the shaft AD shown in the figure. Given data: G = 80 GPa d1 = 0.08 m d2 = 0.04 m d3 = 0.06 m
Example 8
Design the dimension d with the safety condition for torsion. Calculate the total angle of twist. Data: M, k, a, G, d.
Example 9
Design the dimension d with the safety condition for torsion. Calculate the total angle of twist. Data: M, k, a, G, d.
Example 10
Design the dimension d from the safety condition for torsion. Calculate the total angle of twist. Data: M, k, a, G, d.
Example 11
Design the dimension d from the safety condition for torsion. Calculate the total angle of twist. Data: M, k, a, G, d.
Example 12
Select the value of the moment M so that the total angle of torsion of the rod is equal to zero. Data: M, a.