Example Question

Example Question

Principal Moments of Inertia example question

Find the bending stress σ_b at point A.

Find the bending stress σ_b at point A.

Click below to show answer. X

Step 1:
Calculate I_y, I_z, I_yz

Step 1:
Calculate I_y, I_z, I_yz

Principal Moments of Inertia solution step 1

Step 2:
Use Mohr's circle to calculate principal moments of inertia

Step 2:
Use Mohr's circle to calculate principal moments of inertia

Principal Moments of Inertia solution step 2

Step 3:
Calculate M_y', M_z' and y_A', z_A'

Step 3:
Calculate M_y', M_z' and y_A', z_A'

Principal Moments of Inertia solution step 3

Step 4:
Calculate σ_b,A

Step 4:
Calculate σ_b,A

Principal Moments of Inertia solution step 4

Useful formula:

Useful formula:

Principal Moments of Inertia formula

Congratulations! You've completed all the questions in this topic. Let's look at C3: Transverse Shear now.