Determine the reactions at beam, Mechanical Engineering

Assignment Help:

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.


Related Discussions:- Determine the reactions at beam

Free body diagram - mechanics, Free body diagram: Sol.: In a free bod...

Free body diagram: Sol.: In a free body diagram, the body is considered by itself and also the effect of the surroundings on the body is shown by forces and moments. Free bod

Perform a beam analysis, You need to sketch shear force and bending moment ...

You need to sketch shear force and bending moment diagrams and estimate maximum bending and shear stresses acting on the beam using your knowledge in beam analysis.  Please note

Introduction and over view of various manufacturing process, Introduction A...

Introduction And Over View Of Various Manufacturing Process The main aim behind advances in engineering and technology has been to raise the standard of living of man and to ma

Determine the direction and magnitude of the work, Illustrate throttling pr...

Illustrate throttling process and free expansion process in details? A fluid is confined in a cylinder by a spring loaded frictionless piston so that pressure in the fluid is a

Describe and derive an expression for energy method, Split the harmonic mot...

Split the harmonic motion x=10 sin (wt + 30 0 ) into two harmonic motions one having a phase angle of zero and the other of 45 0 . Describe and derive an expression for energy m

Group technology, develop an appropriate group technology coding scheme for...

develop an appropriate group technology coding scheme for a line of machine screws using monocode. explain how the coding scheme works. Assume the product line has the following va

Determine the maximum bending stresses, Determine the maximum bending stres...

Determine the maximum bending stresses: A rectangular beam of breadth 100 mm & depth 200 mm is simply supported over a span of 4 m. The beam is loaded with a uniformly distrib

Determine atomic packing factor, Determine APF of BCC and theoretical densi...

Determine APF of BCC and theoretical density in g/cm 3 , assuming the value of r=1.28A 0 and atomic weight is 60g/mol. Determine APF of FCC and theoretical density in g/cm 3 ,

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd