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Principal of Virtual Work

1. Using principle of virtual work, calculate the reactions at the supports for the beam shown in the fig.

2. Using the principle of virtual work, determine the reactions at all the supports for the beam loaded and supported as shown in Fig. Ex. A is a fixed support. B is a roller support and C is an internal hinge.

3. Using principle of virtual work, determine the reactions at all the supports of the beam loaded and supported as shown in Fig. Ex is a fixed support.

B and C are roller supports and H1 and H2 are internal hinges.

4. Find support reactions of the beam shown in fig. by using principle od virtual work.

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5. Find the moment and vertical at fixed end of the beam shown in fig.

6. Using the principle of virtual work, determine the reactions at A, B and C for the beam shown in Fig.

7. Using virtual work method find support reactions of A and B for the beam system connected by an internal hinge at C as shown in Fig. Ex. 6.13

8. Two messes m1 and m2 are resting in equilibrium on two smooth inclined planes AB and AC as shown in the Fig. Planes AB and AC make 1 and 2 angles with the horizontal respectively. Using the concept of virtual work, m sin2 show that the radio of masses m1 and m2 is given by 1  m2 sin1

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9. A leader of mass 20 kg rests with its upper end lening on a smooth vertical wall and its lower end resting on a rough horizontal floor. Ladder makes o

45 angle with the ground Using the concept of virtual work, find force of firction the ladder and the ground.

10. Use the method of virtual work of determine the horizontal component of reaction at C for the frame as shown in Fig.

11. By using principle of virtual work solve the problem that a non homogeneous ladder as shown in Fig. Ex. 6.18 rests against a smooth wall at A rough horizontal floor at B. The mass of the ladder is 30 kg and is concentrated at 2m from the bottom.

The

coefficient of static friction between the leader and the floor is 0.35 Will the ladder stand in 60o position as shown ?

UNIVERSITY QUESTION 1. A slender prismatic bar AB of length L and weight Q stands in a plane and is supported by smooth surfaces at A and B shown in Fig .

Using the principle of virtual work, find the magnitude of the horizontal force P applied at A if the bar is in equilibrium.

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