Determine reactions at supports, Mechanical Engineering

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

Posted Date: 10/17/2012 5:37:32 AM | Location : United States







Related Discussions:- Determine reactions at supports, Assignment Help, Ask Question on Determine reactions at supports, Get Answer, Expert's Help, Determine reactions at supports Discussions

Write discussion on Determine reactions at supports
Your posts are moderated
Related Questions
Find out the effort required to run this machine: The efficiency of a machine is 75% while an effort of 20 N is required to lift a load of 160 N. Compute the velocity ratio an

Getting Familiar: An entrepreneur wishing to set up an industry must first formulate a comprehensive plan for setting the industry for its success. For this, he/she should have co

Copper-Lead Alloys Copper-lead alloys, having a large percentage of lead have determined a considerable employ as bearing material lately. Straight, copper-lead alloys of such

Explain lami's theorem: Sol.: Lami's theorem states that "If the three coplanar forces which are acting at a point be in equilibrium, then every force is proportional to sin

Perfect Frame - Truss: Perfec t Frame The frame that is composed of such members, which are sufficient to keep the frame in equilibrium, when the frame is sustaining the


It is estimated that the average number of surface defects in 20 square meter of paper produced by process is 3.what is probability of finding number more than 2 defects in 40 squa

Explain about the Deep foundation Deep foundations are those where the depth D is much larger than B. Piles, wells, piers and caissons belong to this group.

Friction is Undesirable: A friction is undesirable at the time of ice skating or when the block is lifted or put down on the truck with the help of inclined plane. If friction

Determine the maximum permissible axial load: In an open coiled spring of 10 coils the stresses because of bending and twisting are 120 N/mm 2 and 150 N/mm 2 respectively wh