Question 1

Question 1

Superposition Method for Statically Indeterminate Beams and Shafts question 1

The cantilevered beam is supported by rod CD at its free-end. Determine the displacement at point C (Δ_C↓) and the force in rod CD.

The cantilevered beam is supported by rod CD at its free-end. Determine the displacement at point C (Δ_C↓) and the force in rod CD.

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Step 1:
Identify redundant supports and setup compability equation

Step 1:
Identify redundant supports and setup compability equation

Superposition Method for Statically Indeterminate Beams and Shafts solution step 1

Step 2:
Obtain expressions for each displacement in the compability equation

Step 2:
Obtain expressions for each displacement in the compability equation

Superposition Method for Statically Indeterminate Beams and Shafts solution step 2

Step 3:
Solve for F_CD and get Δ_C ↓

Step 3:
Solve for F_CD and get Δ_C ↓

Superposition Method for Statically Indeterminate Beams and Shafts solution step 3

Useful formula:

Useful formula:

Superposition Method for Statically Indeterminate Beams and Shafts formula

Now that you've mastered this question, you can try Question 2.