Determine the reaction at specific points, Mechanical Engineering

Determine the reaction at specific points:

A light rod AD can be supported by frictionless pegs at B and C and rests against frictionless wall at A as shown in the given figure . A force of 100N is applied at end D. Determine the reaction at points A, B and C.

Sol.: As roller supports at point B, C, so that the vertical reactions are there RB, RC. At point A rod is in the contact with wall that is wall give contact reaction to the rod say RA.

 

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Let rod is inclined at an angle of θ . The rod is in position of equilibrium.

ΣV = 0

RBcosθ   - RCcosθ   + 100cosθ = 0

RC  - RB = 100                                                                                                                                 ...(i)

Taking moment about A:

ΣMA = 100 × 0.6 - RC × 0.4 + RB × 0.2 = 0

2RC  - RB = 300                                                                                                                                ...(ii)

Solving the equation (i) and (ii)

RC = 200                                                                                         .......ANS

RB = 100            .......ANS

ΣH = 0

R + RBsinθ   - RCsinθ   + 100sinθ   = 0

RA  + 100sinθ   - 200sinθ   +100sinθ   = 0

RA = 0                                        .......ANS

Posted Date: 10/17/2012 4:22:03 AM | Location : United States







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