Question 1

Question 1

Statically Indeterminate Analysis with Torque question 1

If shaft ABCD is fixed at both ends, find the torque reactions at A and D.

If shaft ABCD is fixed at both ends, find the torque reactions at A and D.

Click below to show answer. X

Step 1:
Calculate polar moment of inertia J

Step 1:
Calculate polar moment of inertia J

Statically Indeterminate Analysis with Torque solution step 1

Step 2:
1st equation: [ΣT = 0]; find internal torques T in terms of T_A and T_D

Step 2:
1st equation: [ΣT = 0]; find internal torques T in terms of T_A and T_D

Statically Indeterminate Analysis with Torque solution step 2

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

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

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 2.