Find out the reactions at point, Mechanical Engineering

Find out the reactions at point:

A beam AB is hinged at A and is supported at C. It is loaded as revealed in Figure. Find out the reactions at A and C.

2314_Find out the reactions at point.png


Let the reaction components at A be HA and VA as illustrated in Figure. The reaction at C shall be acting vertically upwards. As the beam is at rest under the action of the forces, the conditions of equilibrium may be applied.

Taking moments of all of forces about A, we obtain

∑ M A  = 0

18 × 3 × (3/2) + (40 sin 60o ) × 5 - Rc × 7 + 24 × 9 = 0

∴ 81 + 173.2 - 7 Rc + 216 = 0

∴ Rc = (81 + 173.2 + 216) /7

= 67.171 kN

 [Note : Moments because of HA, VA and 40 cos 60o regarding A are zero as they pass through point A. Clockwise moments are taken as +ve.]

Now, ∑ Fx  = 0

∴ H A - 40 cos 60o  = 0

∴ H A = 40 × 0.5 = 20 kN

and, ∑ Fy  = 0

∴ VA  - (18 × 3) - 40 sin 60o  + Rc  - 24 = 0

∴ VA  = 54 + 34.64 - 67.171 + 24

= 45.469 kN

1555_Find out the reactions at hinge2.png

 = 49.673 kN

tan θ= VA / H A = 45.469/20  = 2.2734

∴ θ = 66.257o  = 66o 15′ 25′′

The reaction at A contain a magnitude of 49.673 kN and is inclined at 66o 15′ 25′′ with respect to horizontal whereas reaction at C is working vertically upwards and has a magnitude of 67.171 kN.

Posted Date: 1/28/2013 5:11:05 AM | Location : United States

Related Discussions:- Find out the reactions at point, Assignment Help, Ask Question on Find out the reactions at point, Get Answer, Expert's Help, Find out the reactions at point Discussions

Write discussion on Find out the reactions at point
Your posts are moderated
Related Questions
Find out ratio of strain-energy: A circular rod of diameter d and length l is fixed at one end and a torque T applied at the other. Now, if any close coiled helical spring is

Explain introduction of  Radial Drilling Machine Machine Name: - Radial Drilling Machine Radial Drilling machine is a machine fitted with a rotating cutting tool known as dr

maximum rpm at engine

Energy - thermodynamics: The energy can be defined as the capacity of doing work. The energy possessed by system may be of two kinds. 1. Stored energy: for example potent

work is path function not a state function

In Naphtha Hydrotreating Unit, does feed/effluent heat exchangers require passivation to avoid polythionic acid stress corrosion cracking.

For two waves period, determine the time response x(t) for the system (ignoring viscous damping effect only)  Give=n: X0=0.09615 , θ(radians)=0.110*π , μk=0.80000 , μs=0.90000 , K=

You are required, as part of a small team, to design a remote controlled buggy that can be made to move forwards, backwards and from side to side. The basic buggy and motors are pr

Q. Describe Natural and Synthetic Sand? Natural sand: A natural sand is the on which is available from natural deposits. Only assistive and water need to be added to it to ma