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
Use roller support - steel trusses of bridges: Explain, why do we use roller support in case of steel trusses of bridges? Sol. : In the bridges most of time external f

Q. What do you mean by Line Designation Tables? Development of the Line Designation Tables (LDT's) is carried out in conjunction with the evolution of the P&ID's. Engineering

Larson-Miller parameter: For material of example of calculate life in hours at temperature of 900oC, and at σ = 20 MPa. Solution Larson-Miller parameter is given by



A  truss  is  shown  in  the  given figure. Compute  the horizontal deflection of  joint D formed by  both  the  load  and  fabrication  error  (bar  AE  is  30mm  too  long).  For

Natural Air Cooling: The strips like extensions (fins) are integrated on the outside of the cylinder and cylinder block. These fins are designed in such a way that they can t

(a) Illustrate Kinematics Links, Chin, Mechanism and Pair with their classification and examples. (b) Compare between structure and Machine.

what do you mean by law of belting and also explain the crowning of pulleys ?

describe about pendulum pump mechanism and diagram