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

Manufacturing systems and automation, This formative assignment seeks to de...

This formative assignment seeks to develop and assess skills associated with basic modern ICT tools and competence in the techniques of Rough-Cut Capacity Planning and F inan

Basic elements of flashbutt welding, Basic elements of flashbutt welding ...

Basic elements of flashbutt welding A flash butt welding machine is mainly comprised of a Main frame Stationary Platen Moving Platen Clamping mechanism Transf

Show the procedure of welding of vessels, Q. Show the procedure of Welding ...

Q. Show the procedure of Welding of vessels? Welding of vessels, including pressure retaining parts and attachments thereto, shall be performed utilizing Welding Procedures, We

What do you understand by binders, Q. What do you understand by Binders? ...

Q. What do you understand by Binders? Binders used in a foundry are : Inorganic and organic binders. Organic binders used for core making and will be discussed later. Clay b

What is passive fire protection, Q. What is Passive Fire Protection? Pa...

Q. What is Passive Fire Protection? Passive fire protection is defined as any fire protection system that, by its nature, plays an inactive role in protecting personnel and pro

Plant layouts - layout design principles, Plant layouts shall provide for a...

Plant layouts shall provide for a maximum of safety and exposure protection from the spread of fire, with ease of operation and maintenance consistent with economical design. Requi

Classification of power sources according to construction, CLASSIFICATION O...

CLASSIFICATION OF POWER SOURCES ACCORDING TO CONSTRUCTION & DESIGN To give the desired output a power source may be constructed with different components. Therefore, a classifi

What is gust response factor, Q. What is Gust Response Factor? For flex...

Q. What is Gust Response Factor? For flexible structures such as a tall vertical process vessel, a Gust Response Factor, Gf is another essential variable needed to determine th

Welding of pressure parts in boilers, This section covers welding of pressu...

This section covers welding of pressure parts including those non-pressure parts when welded to pressure parts. All welding design functions necessary within the contract shall be

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