Numerical problems based on overhanging beam, Mechanical Engineering

Numerical Problems Based on Overhanging Beam:

Q: Draw Shear force diagram for the simply supported beam loaded as shown in the figure given below.

784_Numerical Problems Based on Overhanging Beam.png

Sol.: Let the reaction at support A and B be, RA and RB First find out support reaction. For finding support reaction, convert UDL in to point load and equal to 2 X 5 = 10KN, acting at the midpoint of UDL that is 2.5m from point A.

624_Numerical Problems Based on Overhanging Beam1.png

Calculation for Shear force Diagram

Draw section line, here total 3-section line, which break the load RA, 5.5KN (Between A and E),

5.5KN and UDL (Between E and B),

Point B and 2KN (Between B and C). Let

Distance of section 1-1 from A is X1

Distance of section 2-2 from A is X2

Distance of section 3-3 from A is X3

Take left portion of the beam

Take section 1-1

The force on left of section 1-1 is RA and UDL (from the joint A to the section line which is UDL on total distance of X1

SF1-1  = 7.5 -2X1  KN (Equation of the straight line)

It is Equation of straight line (Y = mX + C), inclined linear.

Inclined linear means that the value of shear force at both the nearest point of section varies with X1  = 0 to X1  = 2

167_Numerical Problems Based on Overhanging Beam2.png

That is inclined line -2 to -8

As shear force changes the sign so at any point shear force will be zero and at that point bending moment is highest.

For finding position of zero shear force equate shear force equation to zero, that is,

2 - 2X2; X2  = 1m, that is at 1m from point A bending moment is maximum.
Take section 3-3

SF3-3  = 7.5 - 5.5 -10 +10 = 2KN (constant value)

Constant value means that the value of shear force at both nearest point of the section is equal that is

SFB = SFC  = 2KN                                                                                                                        ...(7)

Plot the SFD with the help of obtained shear force values.

Posted Date: 10/20/2012 1:56:34 AM | Location : United States







Related Discussions:- Numerical problems based on overhanging beam, Assignment Help, Ask Question on Numerical problems based on overhanging beam, Get Answer, Expert's Help, Numerical problems based on overhanging beam Discussions

Write discussion on Numerical problems based on overhanging beam
Your posts are moderated
Related Questions
Determine magnitude of the couple: A square block having each side 1.5 m is acted upon by system of forces along its sides as shown in the adjoining figure. If system reduces

Q. Define Gas Welding? Metal joining process in which the ends of pieces to be joined are heated at their interface by producing coalescence with one or more gas flames (such a

Find the weight percent of austenite present in the steel: A 0.4% C hypoeutectoid plain carbon steel is slowly cooled from 1540 o C to (i) slightly above 723 o C and (ii) s

Calculate thermal efficiency and compression: Q: Calculate thermal efficiency and compression ratio for automobile working on otto cycle. If energy generated per cycle is t

Explain concept of Reaming and boring of radial drilling machine Reaming Reaming is accurate way of sizing and finishing the pre-existing hole. Multi tooth cutting tool. A


Swing Arm Shock Absorber :   This type of suspension is used to serve for rear part of motorcycle. The advantage of this type of suspension is that large deflections are absorbed.

Theory of Constraints: Goldratt's theory of constraint has attracted the attention of several practioners in the industry. His concept of goal, constraint, and throughput, cri

(a) Show that the force exerted by a jet of water on an inclined fixed plate in the dissection of jet is given by fx = .a.v 2 . sin 2 θ. Where a is area of jet, v is velocity of j

(a) Differentiate between carnot Heat pump and carnot Heat engine. What is the basic cycle for a carnot Heat pump ? Explain it. (b) A reversible heat engine delivers 0.6 K at po