Determine forces in members of cantilever truss, Mechanical Engineering

Determine  forces in members of cantilever truss:

Determine  forces  in  members  BC  and  BD  of   cantilever truss  shown  in  the figure in the figure given below. 

 

329_Determine  forces in members of cantilever truss.png

Sol.: If we draw a section line that cut the member BC, BD, AD, ED, then the member BC and BD cut by this line, but this section line cut 4 members, so we do not use this section line. As a section line cut maximum of three members.

There is no single section line that cut the maximum 3 member and also cut member BC and BD.

This problem can be solved in following two steps.

(1)  Draw the section line which cut member BC and DC. Select any one section and find out value of BC.

(2)  Draw the new diagram, draw another section line that cut the member AB, BD and CD, and find out value of the member BD.

STEP-1

Draw the section line which cut member BC and CD, as shown in figure given below.

 

752_Determine  forces in members of cantilever truss1.png

Consider Right hand side of truss as shown in the figure given below

By taking moment about the point D

MD = 0

1000 x 2 - TBC  x BD = 0

Consider the ?CAE and CDB, they are similar

BD/AE = BC/AC BD/3 = 2/4

BD = 1.5m

1000 x 2 - TBC  x 1.5 = 0

TBC =   1333.33KN                                    ...(iii)

TBC = 1333.33KN (Tensile)                                    .......ANS

STEP-2:

Draw the section line that cut the member AB, AD and BD, as shown in figure given below.

 

1174_Determine  forces in members of cantilever truss2.png

 

Consider the Right hand side portion of truss as shown in the figure given below

By taking moment about the point C

MC  = 0

{Moment of force TAB, TCD  and 1000N acting at point C is zero}

-1000 x BD - TBD  x BC = 0

-1000 x 2 - TBD  x 2 = 0

265_Determine  forces in members of cantilever truss3.png

TBD  =  - 1000KN                                    ...(iii)

TBC  = 1000KN (compressive)         .......ANS

Posted Date: 10/29/2012 1:19:09 AM | Location : United States







Related Discussions:- Determine forces in members of cantilever truss, Assignment Help, Ask Question on Determine forces in members of cantilever truss, Get Answer, Expert's Help, Determine forces in members of cantilever truss Discussions

Write discussion on Determine forces in members of cantilever truss
Your posts are moderated
Related Questions
eXPLAIN THE GRAPHICAL IMPLEMENTATION OF TOOL PATH GENERATION

Q. Show Mass energy Relation? Until the time of Einstein, mass and energy were considered as two different physical quantities. But in 1905, with the help of postulates of the

Compute the angular velocity of the wheel: A wheel of 0.5 m radius rolls over a horizontal surface without slipping as illustrated in Figure (a). The velocity of its centre is

have assignment in FEM calculation and ANSYS are you able to solve this kind of assignment

Which chromium plating is more eco-friendly - trivalent or Hexavalent? Justify your answer in the light of environmental issues caused.

COMPETENCY STATEMENT:  In this programme, every learner shall be assessed on a continuous basis for his/her knowledge and skills during the programme duration. Learners' competenc

Q. Skid assemblies and modular structures? This specification describes parameters for the design, fabrication, materials and installation of the structural steel part of skid

Necessity of Transmission System The main purpose of Transmission system is to provide a means to vary the torque ratio between the engine and the road wheels. It means th

Determine the increase in pressure in vessel: A thin spherical vessel of diameter 750 mm & wall thickness 8 mm is filled through water at atmospheric pressure. Determine the i

Q.  In every electromagnetic conversion device, both generator and motor action take place simultaneously. Explain. The case the output is mechanical as in a motoring mode, th