Determine reactions at supports of loaded beam, Mechanical Engineering

Determine reactions at supports of loaded beam:

Determine reactions at supports A and B of loaded beam as shown in the figure given below. 

 

2214_Determine reactions at supports of loaded beam.png

Sol.: First consider the free body diagram of the figure give to us. In which ?CEA, AED and

FHG shows point load and rectangle FHDB shows point load.

Point load of ?CEA = 1/2 × AC × AE = 1/2 × 1 × 10 = 5KN, act at a distance 1/3 of AC (that is, 0.333m) from point A

Point load of ?AED = 1/2 × AD × AE = 1/2 × 2 × 10 = 10KN

act at a distance 1/3 of AD (that is, 0.666m )from point A

Now divided the diagram DBGF in to two parts A ?FHG and a rectangle FHDB. Point load of Triangle FHG = 1/2 × FH × HG = 1/2 × 3 × (20 - 10) = 15KN

act at distance 1/3 of FH (that is, 1.0m )from point H

Point load of Rectangle FHDB = DB × BH = 3 × 10 = 30KN

act at a distance 1/2 of DB (that is, 1.5m )from point D

At Point A roller support that is, only vertical reaction (RAV), and point B hinged support that is, a horizontal reaction (RBH) and a vertical reaction (RBV). All point load are shown in the given figure

∑H = 0;

RBH   = 0

RBH = 0                                                              .......ANS

∑V  = 0;

RAV  + RBV  - 5 - 10 - 30 - 15 = 0

RAV  + RBV = 60KN                                                                                                                              ...(i)

Now taking moment about 'A'

- 5 × 1/3 + 10 × 0.66 + 30 × 3.5 + 15 × 4 - RBV  × 5  = 0

RBV = 34 KN                                                   .......ANS

Putting the value of RDV in the equation (1)

RAV = 26KN                                                     .......ANS

Posted Date: 10/17/2012 5:40:43 AM | Location : United States







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

Write discussion on Determine reactions at supports of loaded beam
Your posts are moderated
Related Questions
Degre e of Super Heat: It is difference between the temperature of superheated steam and saturation temperature resultant to the given pressure. So, the degree of superhea

Total decrease in length: Q: A hollow cast iron cylinder 4 m long, 300 mm is the outer diameter, and thickness of metal 50 mm is subjected to central load on top when standin

Washing and Drying a Motorcycle :  It is important to wash and dry the motorcycle before servicing. It would ensure cleanliness during the service and would not allow any dust ent

Example of support reaction: A fixed crane of 1000Kg mass is to lift 2400Kg crates. It is held in place by pin at point A and a rocker at point B . the C . G . is located

Compute the utilization of peak capacity: If the fabrication department of the engine manufacturer, operated under ideal conditions, produces 100 engines per day. Management b

Heat generated uniformly in Stainless steel plate having k=20 W/m. 0 C. The thickness of the plate is 1cm and the heat generation rate is 500 MW/m 3 . If the two sides of the plate

PROBLEM DEFINITION Inspiration for a product is most often the result of meeting a particular need or problem that existing products are not able to satisfy. When defining a

Driving mechanism   I). Knurl or Friction Drive :  This has either the upper or lower electrode (or both) driven by a friction wheel on the periphery of the electrode. A co


Sand Blasting: Historically sand blasting was operated with only using sand only as abrasive media. Today the advance of technologies had brought manufacturer more variety in