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 do you understand by binders, Q. What do you understand by Binders? ...

Q. What do you understand by Binders? Binders used in a foundry are : Inorganic and organic binders. Organic binders used for core making and will be discussed later. Clay b

Evaluate the temperature of the centre of the bar, A copper bar 80 mm by 60...

A copper bar 80 mm by 60 mm in cross-section (k = 370 W/m ºC) is lying in a insulated trough so that the heat transfer from one face both the edges is negligible. It is seen that w

Gantry crane, A gantry crane shown in figure above acts an auxiliary to...

A gantry crane shown in figure above acts an auxiliary to bridge cranes. It is provided with wheels and can be moved from open place to another as per requirements.

Dthd, Ask question #Minimvchfchd jftdysrtttttttttgsghxum 100 words accepted...

Ask question #Minimvchfchd jftdysrtttttttttgsghxum 100 words accepted#

Ballast - permanent way, Ballast: Ballast is the layer of broken ston...

Ballast: Ballast is the layer of broken stone provided on the formation on which the sleepers rest. The stones are cubical in shape and pass through 50 mm square mesh. The fu

Projectles on an inclined plane, a misile is fired at speed v and an angle ...

a misile is fired at speed v and an angle m that is inclide at an angle r to the horizontal.calculate the range

Rotary vacuum, Explain with the aid of a sketch how a rotary vacuum (ROVAC)...

Explain with the aid of a sketch how a rotary vacuum (ROVAC) filter works. Derive describing equations to predict the ROVAC's filtration performance in terms of the effect of drum

Urine preservatives - specimen collection, Urine preservatives - Specimen c...

Urine preservatives - Specimen collection: Urine preservatives : preservatives have different roles but are usually added to reduce bacterial action or chemical decompo

Explain arc-welding processes, Arc-Welding Processes Arc-welding incl...

Arc-Welding Processes Arc-welding includes those welding processes wherein heat required for welding is derived from an arc powered by electrical energy, may be AC of DC as s

What is a cotter joint, These parts of joints are used to connect two rods,...

These parts of joints are used to connect two rods, which are under compressive or tensile stress. The ends of the rods are in the manner of a socket and shaft that fit together an

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