Pin-jointed steel structure, Mechanical Engineering

Assignment Help:

Pin-jointed steel structure:

Find out the forces in the members of the pin-jointed steel structure.

Solution

Joint D

 Suppose fCD and fDE both as tensile forces; and also suppose the nature of other members forces as illustrated.

fCD = 2 t            ⇒         ∴ fCD = 2 t (tension)

and      fDE = 0

Joint C

∠ BCE = ∠ DCE = 45o  (obviously)

fCD = fCE  cos 45o ⇒  ∴ fCE  = 2 √2

= 2.8284 (comp.)

i.e. CE is a strut

f CB = f CE cos 45o  = 2 × √2 × (½) = 2 t  (tension)

i.e. CB is a tie.

Joint E

f EF = f CE cos 45o  = 2 × √2 ×  (1/√2) = 2 t  (comp.)

 f EB = f CE cos 45o  = 2 × √2 ×  (1/√2) = 2 t   (tension)

Joint B

∴          f BE  = fBF cos 45o    (comp.)

               f BE  =2 √2 t(comp.)

f AB - f FB cos 45o  = fBC  

f AB = 2 × √2 ×  (1/√2) = 4t  (comp.)


Related Discussions:- Pin-jointed steel structure

Parts of wilson hartnell governor, what are the parts of wilson hartnell go...

what are the parts of wilson hartnell governor with their designation?

Business Management techniques, how do I Create appropriate costing systems...

how do I Create appropriate costing systems and techniques for specific engineering business functions.

Design storage compounds for bulk solids, Q. Design Storage compounds for b...

Q. Design Storage compounds for bulk solids? Storage compounds for bulk solids, liquids and liquefied gases are normally included in a plant layout to provide short term storag

Determine the velocity, Question The three freight cars are rolling alo...

Question The three freight cars are rolling along the horizontal track with the velocities shown in the Figure. After the impacts occur the three cars become coupled together a

Compute the centroidal moment of inertia, Compute the centroidal moment of ...

Compute the centroidal moment of inertia: Compute the centroidal moment of inertia of a thin homogeneous bar AB of length l and having a mass of m kg Solution The mass

Symbol, I need a symbol for push and turn

I need a symbol for push and turn

Shear force.., A cantilever beam of 1800 mm length is subjected to point lo...

A cantilever beam of 1800 mm length is subjected to point loads of 3.5 kN, 4.3 kN, 1.2 kN and 2.8 kN at distances of 400 m, 400 m, 400 m 300 m and 300 m, respectively from the fixe

Define spot welding electrodes, Q. Define spot welding electrodes • ...

Q. Define spot welding electrodes • To conduct the welding current to the work pieces. • To transmit to the work pieces in the weld area the amount of force needed to pro

Example of process capability, Example of Process Capability The speci...

Example of Process Capability The specifications for one characteristic of a part call for its width to be 3.000 + 0.008 centimetres. The procedure has been run under controll

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