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

What is subsetting, What is Subsetting Subsetting : Vendors selected an...

What is Subsetting Subsetting : Vendors selected and implemented only portions of the whole of IGES, thus making exchange between two systems impossible without  prior agreemen

Method of joint, Method of joint: How you can find out force in the m...

Method of joint: How you can find out force in the member of truss by using method of joint? Sol.: In this, after determining the reactions at supports, the equilibrium

Corollaries of first law of thermodynamics, Corollaries of first law of the...

Corollaries of first law of thermodynamics: First law of thermodynamics has significant corollaries. Cor ollary 1: (First Law for process). There exists property of

Mockup test, we perform mockup test to 10 tube with tubesheet. please give ...

we perform mockup test to 10 tube with tubesheet. please give the cutting plan?

Show dike heights and distance from containers, Wall-type bunds / dikes for...

Wall-type bunds / dikes for storage compounds should be from 0.5 m to 1.5 m high (1.5 ft. - 5 ft. - check local codes and regulations), depending on the required containment capaci

Calculate the magnitude and position of the balance mass, The four masses m...

The four masses m1, m2, m3 and m4 having their radii of rotation as 200mm, 250mm, 150mm, 250mm and 300mm are 200kg, 300kg,240kg and 260kg in magnitude respectively. The angles betw

What is floating foundation, What is floating foundation? Floating Foun...

What is floating foundation? Floating Foundation: Raft or mat is also recommended when the soil mass contains compressible layers or the soil stratum is variable. In such ca

A, Application of cad

Application of cad

__, what is magnetostriction?

what is magnetostriction?

What is heat treatment and why is it done, What is heat treatment and why i...

What is heat treatment and why is it done? Heat treatment can be described as a combination of operations or processes in which cooling and heating of an alloy or metal is done

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