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
ELECTRO GAS WELDING This process is an extension of MIG  I MAG welding, designed for single pass vertical welding of steel plates in the thickness range of 10 to 38 mm. The tw

ELECTRODE WIRE FOR CO2 WELDING CO 2 welding wire must have a special composition to withstand the oxidising nature of the CO 2 arc atmosphere. Though, CO 2 is not reactive a

Use three frame elements to analyse the frame structure as depicted in the image below subjected to combined loadings: a) a concentred load applied  on Element 1  at  its  1/3 leng

Q. Determination of Wind-Induced Forces on Pressure Vessels? ASCE does not provide the complete methodology needed to account for wind-induced forces on common appurtenances to

common formula for first law of thermodynamics #Minimum 100 words accepted#

a) Illustrate with the help of neat sketch any three straight line mechanism. b) Describe Degree of Freedom and prove the relation for Grumbler's equation.

Before I submit my papers, I need to have something in writing regarding confidentiality of my work. Please advise. Bill Bridges

Oxides These comprise alumina, magnesia, thoria, beryllia and zirconia. Other oxides that are utilized sparingly due to high cost comprise hafnia, ceria and yttria. Variety of

Forecasting: Forecasts play a vital role in determining material needs that constitute inventories and in establishing production plans. In this unit, you have studied the imp

Find out change in diameter: A cylindrical shell, 0.8 m in a diameter and 3 m long is along with 10 mm wall thickness. If the shell is subjected into an internal pressure of 2