Question 1

Question 1

Castigliano’s Theorem question 1

Calculate the vertical displacement of point C (Δ_C ↓) using Castigliano's theorem. Neglect the strain energy due to shear.

Calculate the vertical displacement of point C (Δ_C ↓) using Castigliano's theorem. Neglect the strain energy due to shear.

Click below to show answer. X

Step 1:
Apply load P (↓) and solve for reactions

Step 1:
Apply load P (↓) and solve for reactions

Castigliano’s Theorem solution step 1

Step 2:
Calculate internal bending moment in terms of P

Step 2:
Calculate internal bending moment in terms of P

Castigliano’s Theorem solution step 2

Step 3:
Use Castigliano's formula to get Δ_C (↓)

Step 3:
Use Castigliano's formula to get Δ_C (↓)

Castigliano’s Theorem solution step 3

Useful formula:

Useful formula:

Castigliano’s Theorem formula

Congratulations! You've completed all the questions in this topic. Let's look at C7: Deflection of Beams and Shafts now.