Determine the reactions at beam, Mechanical Engineering

Determine the reactions at bea:

A cantilever AB, 1.8 m long is fixed at A and carries uniformly distributed load of 20 kN/m over its entire length and a point load of 30 kN at the free end. Determine the reactions at A.

Solution

 Let the reaction components at A be HA, VA and MA as illustrated in Figure. Let us replace the uniformly distributed load of 20 kN/m by a single force of 20 × 1.8 = 36 kN acting at the centre of AB, i.e. at 0.9 m from A. There is no horizontal force acting on the beam.

∑ Fx = 0                                           ∴ H A = 0

∑ Fy = 0

∴ VA  - (20 × 1.8) - 30 = 0

∴ VA  = 36 + 30

= 66 kN

Taking moments at A, we get :

∑ M A = 0

∴ - M A + (20 × 1.8) (0.9) + 30 × 1.8 = 0

∴ M A = 32.4 + 54

= 86.4 kN - m

Thus, the reaction at A consists of a vertical force acting upwards having magnitude 66 kN, and anticlockwise moment of 86.4 kN-m.

Posted Date: 1/28/2013 5:10:47 AM | Location : United States







Related Discussions:- Determine the reactions at beam, Assignment Help, Ask Question on Determine the reactions at beam, Get Answer, Expert's Help, Determine the reactions at beam Discussions

Write discussion on Determine the reactions at beam
Your posts are moderated
Related Questions
Projection Welding   This is a modified method of making single or multiple spot welds. Projection welds are made by providing an embossment or projection on one or both of

A four-stroke, single cylinder gasoline engine having a bore of 90 mm and stroke of 100 mm has a compression ratio 7. The relative efficiency is 55% when the shown specific fuel co

Potential energy (PE) The energy possessed by body or system by virtue of its position above the datum level. The work done is because of its falling on earth's surface. Po


Evaluate the maximum bending stresses: A beam of I-section illustrated in Figure is simply supported over a span of 10 m. It carries an uniform load of 4 kN/m over the whole s

Determine maximum shearing stress in shaft:   A propeller shaft 100 mm in the diameter, is 45 m long, transmits 10 MW at 80 rotation per minute. Determine maximum shearing str

Which conducts heat faster steel copper or brass? Ans) Copper conducts heat faster than steel or brass. Any material that is good for conducting heat is also good for electricit

Illustrate working of double acting steam engine. What is its diagram factor and thermal efficiency?

Evaluation of Specific Volume of Steam: Specific volume of steam means the volume which is occupied by unit mass of steam. It is expressed in m3 /kg. Specific volume of steam

(a) Illustrate reversible, irreversible and Quasi-static process with examples. (b) What do you mean by terms change of state, path, process, property, cycle. (c) Distinguish