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
Evaluate total extraction: The steel tie rod 50mm in diameter and 2.5m long is subjected to pull of 100 KN . To what length the rod must be bored centrally so that total ext

Compute the magnitude and direction of the force: Problem: Compute the magnitude and direction of the force F¯ = (320 N) i¯ + (450 N) j¯ - (600 N) k¯ Solution

Engine Oil Replacement and Top-up :   The engine oil has to be changed at a periodic interval because after some point of time it loses its viscosity and cooling, anti rust, and se

Polyhedra and Euler's Formula The b-rep of a polyhedra that are holomorphic to a sphere are topologically valid if they satisfy the following equations : F - E + V - L = 2 (

Strength of spot welding Because spot welding has generally replaced riveting in many applications, it is reasonable to compare these two processes for strength. Often, riveted

(a) Enlist and describe the several mechanical properties of commonly used engineering materials. (b) State the objectives and applications of case-hardened components.

Difference between SI and CI engines SI engine stands for spark ignition engine while CI engine stands for compression ignition engine. SI engine works on the principle of w

Determine the maximum pressure applied inside the shell: A thin spherical shell of 1.5 m diameter is built by joining steel plates of 8 mm thickness by riveting. The efficienc

show a schematic circuit diagram of a electric hydraulic gear pump with adjustable with one direction flow and explain the operation

show that work is a path function and not a point funtion ?