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
Orthographic Projections: As you learned previously about the theory of projection of points, planes and lines, the next significant is the projection of solids that have thre

The objective of the project is to protect damage of the DC motors. If the motor is not working it will be shown with red light, if working normally then green and if working at a

A rotor has the given properties : If the shaft is balanced by two counter masses located at 100 mm radii and revolving in planes midway of plan 1 and 2 and midway of 3 and

Bending moment

Advantage of Electro Chemical Machining 1. As the tool does not come in contact with the work there for tool wear is practically nil. 2. The metal removal is faster rate.

NON-FERROUS MATERIALS: Latest technology has been highly dependent on non-ferrous and alloys for in specific cases they represent the compensation of high strength and low wei

Explain concepty of Worktable in radial drilling machine The worktable is supported on an arm mounted to the column. The worktable can be adjusted vertically to accommodate dis

Q. Define Current for electrical resistance welding? - With other parameters kept constant, the temperature in resistance welding is regulated by controlling the magnitude a

Discuss any three of the following:- (i) Electron Beam Welding (ii) Friction Welding (iii) Thermit Welding (iv) Gas Welding Give their advantages, Limitations, and a

Q. Describe Elastic and plastic deformation? When a sufficient load is applied to a metal or other structural material, it will cause the material to change shape. This chang