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

Governors, How a governor works? I mean how it''s regulate the speed of for...

How a governor works? I mean how it''s regulate the speed of for example electricity generators?

#title.wedge friction, explain wedge friction?with simple example? solve an...

explain wedge friction?with simple example? solve any simple problem in wedge friction

Evaluate piston effect, In a double acting vertical steam engine running at...

In a double acting vertical steam engine running at speed of 360 r.p.m., cylinder diameter is 25 cm, stroke is 30 cm, diameter of piston rod is about 3.75 cm and length of the conn

Determine couple - homogeneous cylinder, Determine couple - Homogeneous cyl...

Determine couple - Homogeneous cylinder: Homogeneous cylinder having weight W rests on horizontal floor in contact with wall (Fig ure given below ). If the coefficient of

Thermodynamics, What are significnces of quasi static process

What are significnces of quasi static process

Determine the concurrent forces, Determine the concurrent forces: Four...

Determine the concurrent forces: Four coplanar concurrent forces act at point and keep it at rest. These are mention in Figure. Determine the forces P and Q. Solution

Compute the outside diameter of the shaft, Compute the outside diameter of ...

Compute the outside diameter of the shaft: A hollow shaft of diameter ratio is 0.4 is needed to transit 600 kW at 120 rpm. The maximum torque being 20% greater than the mean t

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