Example Question

Example Question

Shear Centre example question

Determine the shear centre e for the cross-section above.

Determine the shear centre e for the cross-section above.

Click below to show answer. X

Step 1:
Identify forces required for ΣM = Pe

Step 1:
Identify forces required for ΣM = Pe

Shear Centre solution step 1

Step 2:
Obtain an expression for the moment of inertia I

Step 2:
Obtain an expression for the moment of inertia I

Shear Centre solution step 2

Step 3:
Obtain variable Q (as a function of y) for the members

Step 3:
Obtain variable Q (as a function of y) for the members

Shear Centre solution step 3

Step 4:
Use V = ∫q ds to calculate F_w2

Step 4:
Use V = ∫q ds to calculate F_w2

Shear Centre solution step 4

Step 5:
Use ΣM_A = Pe to find shear centre e

Step 5:
Use ΣM_A = Pe to find shear centre e

Shear Centre solution step 5

Useful formula:

Useful formula:

Shear Centre formula

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