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
Determine the maximum shear stress and angle of twist: A hollow circular shaft of 6 m length and inner & outer diameter ois equal to 80 mm and 100 mm is subjected to a torq

Q. How can we use of Shrinkage allowance? Since metal shrinks on solidification and contracts further on cooling to room temperature, linear dimensions of the pattern is increa

Moment of couple: Sol.: The moment of couple is the product of the force (that is one of the forces of two equal and opposite parallel forces) and the arm of couple. Math

Equilibrium conditions: What are equilibrium conditions for non concurrent force system? Sol.: For the Equilibrium of non concurrent forces there are three conditions:

sand casting and its type

The crate A of weight W=27lb is being pulled to the right by the winch at B. The crate starts at x=0 and is pulled a total distance 15ft over the rough surface for which the coeffi

Planning of Railway Stations and Facilities Provided: The planning of railway stations should cover the following aspects: (a)        The site selected should be easily ac

What is Octree Encoding Octress are hierarchical variant of spatial-occupancy enumeration, designed to address that approach's demanding storage requirements. Octress are in tu

Explain the Cost analysis of radial drilling machine Cost regarding to Manual arrangement of auger extension in paver machine: 1.cost of segmented angle radial drill machin

How are fuels divided ? Write disadvantages and advantages of each types. (b) A sample of coal supplied to a boiler has the following composition by mass : Carbon = 88%, Hydr