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A symmetric truss system is subjected to a concentrated vertical force P at joint B as shown in Figure Q6. By using energy me

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Answer #1

In this question we have to find the horihontal deflection at C

Using Castigliano’s second theorem (Energy method)

Placement of imaginary force F The force F is placed at joint C, where the horizontal deflection is desired, as shown in Figure

Member axial forces.

Compute support reactions and obtain member-axial forces in terms of the imaginary force F. Member-axial forces are determined by using the method of joint. and to find the horizontal deflection at F, compute the partial derivatives and apply Castigliano’s equation.

D B с HA 1450 B 450 L I 으 Quan RA=P/ R C = P12 Find the forces in members in term of F Take ZMATO RB X 21 = pre =) RB-2 2 RAAt point C u al CD sinusº E 2 Pla F+ BC = CO caruso $ Вс 2 РЕ At Joint B A B = BC - F efe 2 BD =P Member length • axial for

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