Determine forces in members of cantilever truss, Mechanical Engineering

Assignment Help:

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


Related Discussions:- Determine forces in members of cantilever truss

Flange bevel and lap ring weld, Q. Flange Bevel And Lap Ring Weld? The ...

Q. Flange Bevel And Lap Ring Weld? The fillet weld attaching the lap ring to the shell shall be an equal leg fillet weld, with the leg dimension equal to the nominal shell thic

Analyse the beam, Analyse the beam: Analyse the beam illustrated in Fi...

Analyse the beam: Analyse the beam illustrated in Figure and draw the SFD, BND & thrust diagram. Situated the point of contraflexure, if any. Figure Solution

Explain the end cutting edge angle, Explain the End Cutting Edge Angle ...

Explain the End Cutting Edge Angle It is an angle between the face of the tool and the plane perpendicular to side of shank. It acts as relief angle that is allows only small s

The diameter dimension command, The Diameter Dimension Command You can ...

The Diameter Dimension Command You can use the Diameter command to annotate a circle or an arc with a diameter dimension. To achieve this simply start the command, pick a point

Stages in making a spot welding, Q.Show the procedure of spot welding ? ...

Q.Show the procedure of spot welding ? The steps involved in making a spot weld are listed below and shown but before spot welding one must make sure that (i) The job is clea

Explain the lip clearance angle - angle of drills, Normal 0 fal...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Determine the temperature for the engines, (a) Describe heat engine. How is...

(a) Describe heat engine. How is this engine characterized? (b) Describe Perpetual motion machines of first kind and second kind, i.e. PMM1 and PMM2. Are such machines possible

Determine the heat transfer, (a) Show that all reversible engines operating...

(a) Show that all reversible engines operating between the same source and sink will have same efficiency. (b) A reversible heat engine operates between two reservoirs at temper

Predict the output of load - curved beam theory, A load cell based on a "pr...

A load cell based on a "proving ring" is shown below.  The circular portion of the load cell has an inner radius of 1.25 in and outer radius of 1.50 in.  The ring has a depth (i.e.

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