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

Classification of i.c. engines - thermodynamics, Classificatio n of I.C. E...

Classificatio n of I.C. Engines: IC engines are classified as follows: 1 . Nature of thermodynamic cycles as:  Otto cycle engine, Diesel cycle engine and Dual combus

Impulse turbine, IMPULS E TURBINE: The steam turbine in which the ste...

IMPULS E TURBINE: The steam turbine in which the steam expands while passing through nozzle and remains at the constant pressure over the blades is called as impulse turbine.

Yield stress and ultimate stress yield stress, Y ield stress and ultimate ...

Y ield stress and ultimate stress Yield stress: Yield stress can be defined as lowest stress at which extension of test piece increases without increase in the load. It is

Describe cope and drag pattern, Cope and drag pattern These are similar...

Cope and drag pattern These are similar to split patterns. In addition to splitting the pattern, the cope and drag halves of the patterns along with the gating and risering sys

Objectives-computerized scheduling and control manufacturing, Objectives ...

Objectives After studying this section, you should be familiarized about: The typical job shop scheduling problem, Characteristics of computer controlled scheduling,

Aspects of scheduling , Aspects Of Scheduling  The difficulty is a mod...

Aspects Of Scheduling  The difficulty is a modification of a flexible manufacturing cell at ABB's plant for the manufacturing of turbocharger in Baden, Switzerland. The difficu

Calculate mass of the shoes, A centrifugal clutch is to be prepared to tran...

A centrifugal clutch is to be prepared to transmit 15 KW at 900 r.p.m. The shoes are four in number. The speed at which the engagement begins is 3/4 th of the running speed. The in

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