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# Use the method of virtual work and determine the displacement of point C of the beam made from steel. E=29$(10^3)$ ksi, I=245 ${in}^4$

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Given:

• Modulus of elasticity of beam: $E = 29 \cdot 10^3 \text{ ksi}$;
• Moment of inertia of beam: $I = 245 \text{ in}^4$ ;
• Force applied at left and right end of beam: $8 \text{ kip}$;
• Length between support $A$ and point $C$: $L_\text{AC} = 5 \text{ ft} = 60\text{ in}$;
• Length between support $B$ and point $C$: $L_\text{BC} = 5\text{ ft} = 60 \text{ in}$;
• Length between left end of beam (point $D$) and support $A$: $L_\text{DA} = 5\text{ ft} = 60 \text{ in}$;
• Length between right end of beam (point $E$) and support $B$: $L_\text{EB} = 5\text{ ft} = 60 \text{ in}$;

Required:

• Displacement of the point $C$ using the method of virtual work ;

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