Problems on cantilever truss, Mechanical Engineering

Problems on Cantilever Truss:

In the case of cantilever trusses, it is not required to determine the support reactions. The forces in members of cantilever truss are obtained by begning the calculations from free end of cantilever.

Q Determine forces in all the member of cantilever truss shown in the figure given below 


1370_Problems on Cantilever Truss.png

Sol.: From ?ACE, we have

tan θ = AE/AC = 4/6 = 0.66                                                                             ...(i)

Also,                                      1027_Problems on Cantilever Truss1.png

cos θ = AC/EC = 6/7.21 = 0.8321     ... (iii)

sin θ = AE/CE = 4/7.21 = 0.5548 


543_Problems on Cantilever Truss2.png

Joint C:

Consider free body diagram of joint C as shown in the given figure;


1746_Problems on Cantilever Truss3.png

As the three forces are acting, so apply lami's theorem at the joint C.

TBC/sin(90 - θ) = TCD/sin270 = 2000/sin θ

TBC/cos θ = TCD/sin 270 = 2000/sin θ

TBC = 2000/tan θ = 2000/0.66 = 3000.3N         ...(v)

Joint B:


2358_Problems on Cantilever Truss4.png

TBC = 3000.3N (Tensile)                                          .......ANS

TCD = - 2000/sin θ = 2000/0.55 = 3604.9N      ...(vi)

TCD = 3604.9N (Compressive)                              .......ANS

Consider free body diagram of joint B as shown in the given figure

As,                           TBC = 3000.3N

Let,                          TAB = Force in the member AB

TDB  = Force in member DB

As the four forces are acting at the joint B, So apply resolution of forces at joint B

RH = TAB  - TBC  = 0, TAB  = TBC = 3000.03 = TAB

TAB = 3000.03                                                            ...(vii)

TAB = 3000.03N (Tensile)                                       .......ANS

RV = - TDB  - 2000 = 0

TDB = -2000N                                                             ...(viii)

TDB = 2000N (compressive)                                   .......ANS

Joint D:

Consider free body diagram of joint D as shown in figure given below


1248_Problems on Cantilever Truss5.png

As,                           TDB = - 2000N

TCD = 3604.9N

Let, TA = Force in member AD

TDE  = Force in member DE

As the four forces are acting at the joint D, So apply resolution of forces at

217_Problems on Cantilever Truss6.png


By solving equation (ix) and (x),

2402_Problems on Cantilever Truss7.png









Force in N








C = Compression

T = Tension













Posted Date: 10/29/2012 1:06:51 AM | Location : United States

Related Discussions:- Problems on cantilever truss, Assignment Help, Ask Question on Problems on cantilever truss, Get Answer, Expert's Help, Problems on cantilever truss Discussions

Write discussion on Problems on cantilever truss
Your posts are moderated
Related Questions
Connecte d Rod: It is attached to piston at its small end by means of gudgeon pin. The big end bearing is connected to crank pin. It is made up of forged steel.

The end gates of a lock are 5m high and when closed include an angle of 120 o . The width of the lock is 6.25 m. Each gate is carried on two hinged placed at the top and the bottom

A pressure transducer uses a probe to measure the deflection of a thin circular diaphragm, clamped at its periphery and having a rigid seat at its centre to eliminate curvature in

The two-storey  frame shown in Figure Q4 is such  that  the self-mass may be considered to be located at the beam levels and the beams may be presumed to be rigid.  The self-mass (

Explain Macroscopic Approach - Thermodynamics 1. In this method a fixed quantity of matter is considered without taking into account the events taking place at molecular level.

A triangle PQR with vertices P(2,1), Q(4,4) , R(1,3) is to be translated by 2 units in x - direction and 4 units in y direction. Using the homogenous coordinate system, calculate t

what is crippling load in column and strut

Open cover left crank case and check shifter drum bolt and washer: Check shifter drum bolt torque and washer direction and avail ability.

Explain construction and working process of newton''s ring

Properties of Aluminium Alloys: Among the different properties of aluminium alloys given are notable as: (a) Low density as 2.7 gm/cc (b) Elevated electrical and therma