Determine reactions at supports, Mechanical Engineering

Assignment Help:

Determine reactions at supports:

Determine reactions at supports of supported beam of 6m span carrying increasing load of 1500N/m to 4500N/m from one end to another end. 

1592_Determine reactions at supports.png

Sol.: As Beam is simply supported that is, at point A and point B only point load is acting. At first change UDL and UVL in point load. As shown in the given figure. Let ∑H & ∑V is the sum of horizontal and vertical component of Resultant forces, the supported beam is in equilibrium, therefore resultant force is zero.

Draw the free body diagram of the beam as shown in the given figure

Divided the diagram ACBE in to two parts A triangle CDE and a rectangle ABCE. Point load of Triangle CDE =1/2 × CD × DE = 1/2 × 6 × (4.5 -1.5)= 9KN

act at a distance 1/3 of CD (i.e., 2.0m )from point D

Point load of Rectangle ABCD = AB × AC = 6 × 1.5 = 9KN

act at a distance 1/2 of AB (i.e., 3m )from point B

Now apply condition of equilibrium:

∑H = 0;

RAH = 0                                         .......ANS

∑V = 0;

RA  -1500 × 6 - 3000 × 3 + RB = 0

RA  + RB = 18000 N                                                                                   ...(i)

Now taking moment about 'A'

- RB  × 6 + 9000 × 3 9000 × 4 = 0

RB = 10500 Nm                       .......ANS

Putting the value of RB  in the equation (i)

RA = 7500 Nm                         .......ANS


Related Discussions:- Determine reactions at supports

Determine reactions of the overhanging beam, Determine reactions of the ove...

Determine reactions of the overhanging beam: Determine r eactions at points A and B of the overhanging beam as shown in the figure given below.

Welder performance qualifications, WELDER PERFORMANCE QUALIFICATIONS ...

WELDER PERFORMANCE QUALIFICATIONS Requirement of Welder Qualification In performance qualification, the basic attempt is to establish the ability of the welder to dep

Slider crank mechanism, What is the mathematical displacement equation and ...

What is the mathematical displacement equation and its derivatives?

Electric discharge phenomenon, ELECTRIC DISCHARGE PHENOMENON The flow of ...

ELECTRIC DISCHARGE PHENOMENON The flow of electricity through metallic solids, or through liquid metals is called Conduction. The electricity  flow through ionic solutions

Calculate the torque, (a) Illustrate self-locking and self-energizing brake...

(a) Illustrate self-locking and self-energizing brakes. (b) The diameter of the drum is 250mm and the angle of contact is 90 o , If the operating force of 700 N is applied at th

Determination of reaction at the support beam, Determination of Reaction at...

Determination of Reaction at the Support beam: Draw a SFD & BMD for the beam illustrated in Figure Figure Solution Determination of Reaction at the Support

Vicker''s hardness test, V icke r ' s Hardness Test: This test is ...

V icke r ' s Hardness Test: This test is alike the Brinell test but uses different indenter. A square based pyramid of cone angle 136 ° is used. The applied load can be 5,

Determine the forces in strings, Determine the forces in strings: The...

Determine the forces in strings: The Electric light fixture weighing 15N hangs from point C , by two strings AC and BC . AC is inclined at 60° to the horizontal and BC

Gas turbine, what is the affect of ambient temperature on the performance o...

what is the affect of ambient temperature on the performance of GAS turbine

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