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

Tension in the strings - mechanics, Tension in the strings: Sol.: Wh...

Tension in the strings: Sol.: When weight is attached to string then it will be in tension. The diagrams are shown below to describe this particular concept.

What is mock-up testing, Q. What is Mock-up Testing? Tube to all tubesh...

Q. What is Mock-up Testing? Tube to all tubesheet weld tests shall be provided as described below. Mock-up of 10 tubes about 305 mm (12") long are welded to a portion of a t

Thermodynamics, what is dryness fraction of dry air

what is dryness fraction of dry air

Single direction pump, Can I have a quote for answers relating to this ques...

Can I have a quote for answers relating to this question (6 and 7) on my paper. Thanks

Thermodynamics, discus the method to finding the width of impeller blades i...

discus the method to finding the width of impeller blades in a rotary air compressor

Estimating time, estimating time of boring, turning,milling?

estimating time of boring, turning,milling?

Multiple spot welding, Multiple Spot Welding This is a modification of sp...

Multiple Spot Welding This is a modification of spot welding, in which two or more than two welds can be obtained simultaneously from each transformer secondary. For specific pro

How are the refrigerants classified, How are the refrigerants classified? D...

How are the refrigerants classified? Describe the desirable property of a good refrigerant. Explain in brief the thermodynamics, safe and physical working property of an ideal r

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