Numerical problems based on overhanging beam, Mechanical Engineering

Assignment Help:

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.


Related Discussions:- Numerical problems based on overhanging beam

Illustrate the structure of set, Illustrate the structure of SET SET al...

Illustrate the structure of SET SET allows the exchange of data between different CAD/CAM systems and also between CAD/CAM systems and central data banks. It features a much mo

Hydropower scheme, 4. Design a run-of-the river hydropower scheme for a riv...

4. Design a run-of-the river hydropower scheme for a river in the Scottish Borders with potential level different of 15 m carrying water from a catchment area of 14 km by 25 km. I

Define the effect of feed, Define the Effect of Feed Increase in feed r...

Define the Effect of Feed Increase in feed rate deteriorates surface finish. It is observed that a rate of feed in the range from0.12 to 0.15 mm per revolution has a negligible

Difference between projectile motion and a rocket motion, Difference betwee...

Difference between projectile motion and a rocket motion? Ans) A projectile has no motor or rocket on it, so all of its momentum is given to it as it is opened. An example of a

Calculate the initial angular acceleration , Question: 1.   A dump truc...

Question: 1.   A dump truck is shown in the figure.  The loaded container has a mass of  8000 Kg and may be modelled as a solid homogeneous block. The hydraulic cylinder applie

Stellite-alloys for cutting tools, Stellite This is an alloy of Co as ...

Stellite This is an alloy of Co as 40-60%, Cr as 25-35%, W as 4-25% and C as 1-3%. This is a cast alloy comprising C, W, and Cr in Cobalt matrix. Its major characteristic is l

Explosive welding i cladding, EXPLOSIVE WELDING I CLADDING In this pr...

EXPLOSIVE WELDING I CLADDING In this process, two pieces of metal are impacted together at an extremely high velocity of impact achieved by the detonation of an explosive cha

How can you implement chemically coated sand, Q. How can you implement chem...

Q. How can you implement chemically coated sand? Chemically coated sand : Clean silica grains are sometimes coated with a non thermosetting hydrocarbon resin, which acts as a

Contrary to the misconception, Contrary to the misconception that the grow...

Contrary to the misconception that the growth in automobile industry has catered only to the higher income-stratum of society by producing mostly passenger cars, the fastest growt

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd