Numerical problems based on the cantilever beam, Mechanical Engineering

Numerical Problems Based on the Cantilever Beam:

Draw the SF and BM diagram for the beam as shown in the figure given below. Also indicate principal values on diagrams.

 

715_Numerical Problems Based on the Cantilever Beam.png

Sol.: Let reaction at the support A be RAV, RAH  and M(counter clock wise), First find support reaction

For that,

ΣV = 0

RAV  -2 -3 -3 = 0, RAV  = 8                                                                                             ...(1)

Taking moment about A,

ΣMA  = 0

-M + 2 X 1 + 3 X 3 + 3 X 5 = 0

M = 26KNm                                                                                                 ...(2)

ΣH = 0

RAH = 0

2301_Numerical Problems Based on the Cantilever Beam1.png

Calculation for Shear force Diagram

Draw section line, here total 3 section line, which break the

load RAV  and 2KN(in between A and B),

2KN and 3KN(Between B and C),

3KN and 3KN (Between C and D). Take left portion of the beam
Take section 1-1

Force on left of section 1-1 is RAV

SF1-1 = 8KN (constant value)

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

SFA = SFB  = 8KN                                                                                                                        ...(4)

Take section 2-2

Forces on the left of section 2-2 is RAV  and 2KN

SF2-2 = 8 - 2 = 6KN (constant value)

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

SFB = SFC  = 6KN                                                                                                                        ...(5)

Take section 3-3

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

SF3-3 = 8 - 2 - 3 = 3KN (having constant value)

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

SFC = SFD  = 3KN                                                                                                                        ...(6)

Calculation for Bending moment Diagram

Assume

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 section 1-1, taking moment about the section 1-1

BM1-1 = 8.X1

It is 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

914_Numerical Problems Based on the Cantilever Beam2.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

2195_Numerical Problems Based on the Cantilever Beam3.png 

That is inclined line 20 to 26

Plot the BMD  with the help of obtained bending moment values. The SFD  and BMD  is shown in the figure

 

Posted Date: 10/20/2012 1:49:47 AM | Location : United States







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

Write discussion on Numerical problems based on the cantilever beam
Your posts are moderated
Related Questions

Q. Explain about Burner Management System? The Vendor shall provide a stand alone Burner Management System that is NFPA approved. Provision shall be made for communication wit

Define Cam - Application of Computers in Manufacturing CAM can be simply defied as "the application of computers in manufacturing." Most elaborately, CAM refers to the use


Determine elongation because of self weight of tapering rod: Sol.: Take a tapering rod hung vertically and firmly fixed at top position. The rod is of length L tapers unifor

what is the affect of ambient temperature on the performance of GAS turbine

TUNGSTEN INERT GAS WELDING (TIG) In this process, an arc is struck between a non consumable tungsten electrode and the base metal. The tungsten electrode is called non consumab

a plano concave lens is used instead of plano convex lens in newtons ring

Graphics Exchange Specification: Afterwards, an open meeting was held at the National Academy of Sciences on October 10, 1979. About 200 people attended to herald the birth of

Editing Dimensions The dimension edit commands, DIMEDIT and DIMTEDIT are used basically to adjust the position of the text part of a dimension. This is usually only necessary,