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
Torque carried by the hollow shaft: A hollow and a solid shaft of similar material have the same weight when the inner diameter of the hollow shaft is half its outer diameter.

Can you give me the Prove of the bending Equation M/I=E/R=σ/Y

what is surging in turbo machines subject

A mechanical System (two degrees of freedom system) is represented by the following two differential equations: m1x"1+(k1+k2)x1-k2x2=0 m2x"2-k1x1+(k2+k3) x2=0 Given m1=m2=0.5kg, k

(a) What are the need of a surface condensing ? Write disadvantages and advantages of Jet condenser and surface condenser. (b) A surface condenser is designed to handle 10000 Kg

Explain about the Raft Foundations The raft foundations are generally used for large loaded area on soils of low bearing capacity. They are of particular use when soils are of

Determine equivalent maximum shear stress in spring: A close coiled helical spring contains a stiffness of 10 N/mm. Its length while fully compressed, with adjacent coils touc

The end gates of a lock are 5m high and when closed include an angle of 120 o . The width of the lock is 6.25 m. Each gate is carried on two hinged placed at the top and the bottom


If the expression is quasi-static, determine Q, ΔU and W for the process. In another process the same system expands according to the similar pressure- volume relationship and f