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## Homework Statement

A pin-jointed frame (diagram attached) is formed of steel rods of 10mm diameter with member AC being 2m long. If a load of 50kN is applied at A as shown, determine the deflection of A and the force in the three rods. Take E = 200kN/mm^2.

## Homework Equations

F

_{A→B}= F

_{A→D}= F

_{A→C}* cos(30)^2

F

_{A→C}+2*F

_{A→B}cos(30) = 50kN

## The Attempt at a Solution

Our tutor has given the answers as:

F

_{A→C}= 21.7kN

F

_{A→B}=F

_{A→D}=16.6kN

And he has said F

_{A→C}= 50kN/1+2cos(30)^3)

But when I solve the equations in

**for F**

_{A→C}I actually get= 25.6kN. can anyone help me find my error?#### Attachments

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