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

Explain carnot cycle, Explain modified Rankine cycle in detail with T-S and...

Explain modified Rankine cycle in detail with T-S and p-v diagrams. Explain Carnot cycle in detail with P-V and T-S diagram, and also write down expression for work ratio, therm

Determine the deflection under the loads, Determine the deflection under th...

Determine the deflection under the loads: Determine the deflection under the loads as shown in Figure Solution ∑ F y   = 0, so that R A + R B  = 80 + 20 = 100 k

Calculate the magnitude of forces, The greasted and least resultant of forc...

The greasted and least resultant of forces performing on a body are 35 KN and 5 KN respectively. Calculate the magnitude of forces. What could be the angle between these forces if

Essentials of a good boiler , ESSENTIAL S OF A GOOD BOILER: -     Sho...

ESSENTIAL S OF A GOOD BOILER: -     Should be capable of producing the required Steam at   the required pressure for minimum fuel required. -     Should be capable of stan

Plant layout and equipment spacing, Q. Plant layout and equipment spacing? ...

Q. Plant layout and equipment spacing? Layout refers to the location of plants (and process/power units within the plants and associated utilities (or balance of plant)) as wel

Gover nor, prove that the sensitiveness of a proell governor is greater tha...

prove that the sensitiveness of a proell governor is greater than that of a porter governor

Skid assemblies and modular structures, Q. Skid assemblies and modular stru...

Q. Skid assemblies and modular structures? This specification describes parameters for the design, fabrication, materials and installation of the structural steel part of skid

Evaluate principal stress and maximum shear stress, At a point in a beam, t...

At a point in a beam, the bending stress is 50 MPa shear stress and tensile is 20 MPa. Calculate :- (i) The principal stress and maximum shear stress. (ii) The tensile stress

How long does it take a plane, How long does it take a plane, traveling at ...

How long does it take a plane, traveling at a constant speed of 190 m/s, to fly once around a circle whose radius is 2950 m?

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