Example of shear force and bending moment diagram, Mechanical Engineering

Example of Shear force and bending moment diagram:

Q: Draw the Shear Force and bending moment diagram for the simply supported beam loaded as shown in the figure given below. 

 

104_Example of Shear force and bending moment diagram1.png

1080_Example of Shear force and bending moment diagram.png

Sol.: Let reaction at support A and B be, RA  and RB  First find support reaction

For that,

1873_Example of Shear force and bending moment diagram2.png

Taking moment about the point A,

ΣMA = 0

2 X 1 + 4 X 2 + 2 X 3 - RB  X 4 = 0

RB = 4KN                                                                                           ...(2)

From equation (1), RA  = 4KN                                                                                                                       ...(3)

Calculation for Shear force Diagram

Draw the section line, here total four section line, which break the load RA and 2KN(Between A and C),

2KN and 4KN(Between C and D),

4KN and 2KN (Between D and E) and

2KN and RB(Between E and B) Consider left portion of beam Take section 1-1

Force on left of section 1-1 is RA

SF1-1 = 4KN (constant value)

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

SFA = SFC  = 4KN                                                                               ...(4)

Take section 2-2

Forces on left of section 2-2 is RA  and 2KN

SF2-2 = 4 - 2 = 2KN (constant value)

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

SFC = SFD  = 2KN                                                                                                                        ...(5)

Take section 3-3

Forces on left of section 3-3 is RA, 2KN, 4KN

SF3-3 = 4 - 2 - 4 = -2KN (constant value)

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

SFD = SFE  = -2KN                                                                                                                      ...(6)

Take section 4-4

Forces on left of the section 4-4 is RA, 2KN, 4KN, 2KN

SF4-4 = 4 - 2 - 4 - 2 = - 4KN (constant value)

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

SFE = SFB  = -4KN                                                                                                                      ...(7)

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

Calculation for bending moment Diagram

Let

The distance of section 1-1 from A is X1

The distance of section 2-2 from A is X2

The distance of section 3-3 from A is X3

The distance of section 4-4 from A is X4

Take left portion of the beam

Take section 1-1, taking moment about section 1-1

BM1-1 = 4.X1

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

Inclined linear means that the value of bending moment at both the nearest point of section is varies with

1982_Example of Shear force and bending moment diagram3.png

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

Inclined linear means that the value of bending moment at both the nearest point of section varies with

2107_Example of Shear force and bending moment diagram4.png

Plot the BMD with the help of obtained bending moment values.

Posted Date: 10/20/2012 1:38:18 AM | Location : United States







Related Discussions:- Example of shear force and bending moment diagram, Assignment Help, Ask Question on Example of shear force and bending moment diagram, Get Answer, Expert's Help, Example of shear force and bending moment diagram Discussions

Write discussion on Example of shear force and bending moment diagram
Your posts are moderated
Related Questions
what is soundness of casting.

Find out ratio of  upper end area to lower end area  of bar of uniform strength Sol : The figure given to us shows a bar subjected to external tensile load P. If bar had be

What is the objective of hydrostatic sensor paver machine To eliminate the problem in screw conveyer extension of hydrostatic sensor paver machine as per screed width" The p

Overbridges, Fly-Overs And Underpasses: Railway Over-bridges Railway Over-bridges (ROB) are structures constructed to enable the road traffic to go over the railway t

EQUIPMENT USED IN EBW The electron beam equipment can be broadly divided in to the following sub systems. Electron Gun and Beam Guidance System The heart of the electron be

T w o Stroke Engine In the two stroke engine, instead of valves ports are given, these are opened and closed by moving piston. Through inlet port, the mixture of air and fuel

Location of centre of gravity of a hemisphere: Find out the location of centre of gravity of a hemisphere of radius a. Solution Figure shows the cross-section of the h

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

Crank Pin and Crank Shaft - Part of combustion engine: Cran k Pin: Crank pin is region on crank shaft on which big end of connecting rod is attached. These pins are eccentr

we perform mockup test to 10 tube with tubesheet. please give the cutting plan?