Example Question

Example Question

Statically Indeterminate Analysis with Torque example question

The figure shows a shaft fixed at A with a loose end at D. If D can rotate for 0.01 rad before becoming fixed, calculate the reaction at the supports.

The figure shows a shaft fixed at A with a loose end at D. If D can rotate for 0.01 rad before becoming fixed, calculate the reaction at the supports.

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Step 1:
Calculate polar moment of inerta J

Step 1:
Calculate polar moment of inerta J

Statically Indeterminate Analysis with Torque solution step 1

Step 2:
1st equation from [ΣT = 0]; find internal torques

Step 2:
1st equation from [ΣT = 0]; find internal torques

Statically Indeterminate Analysis with Torque solution step 2

Step 3:
2nd equation from compatibility equation; solve for T_A and T_B

Step 3:
2nd equation from compatibility equation; solve for T_A and T_B

Statically Indeterminate Analysis with Torque solution step 3

Useful formula:

Useful formula:

Statically Indeterminate Analysis with Torque formula

Now that you've mastered this question, you can try Question 1.