Edupanda » Strength of materials »  Torsion » Statically Determinate

List of examples

Example 1

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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

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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

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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

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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

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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

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Design the dimension d with the safety condition for torsion. Calculate the total angle of twist. Data: M, k, a, G, d.

Example 9

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Design the dimension d with the safety condition for torsion. Calculate the total angle of twist. Data: M, k, a, G, d.

Example 10

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Design the dimension d from the safety condition for torsion. Calculate the total angle of twist. Data: M, k, a, G, d.

Example 11

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Design the dimension d from the safety condition for torsion. Calculate the total angle of twist. Data: M, k, a, G, d.

Example 12

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Select the value of the moment M so that the total angle of torsion of the rod is equal to zero. Data: M, a.