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

Processes , example on operation sheet?

example on operation sheet?

Thermodynamics, what is the difference between point function and path func...

what is the difference between point function and path function?

Construction of lacashire boiler, Construction of Lacashire boiler: C...

Construction of Lacashire boiler: CONSTRUCTION : Consists of boiler shell which contains water and steam. Diameter can vary from 1.75 to 2.75 m and length can be 7.25 - 9 m

What are the basic components of an automobile, What are the basic componen...

What are the basic components of an automobile ? Explain them briefly. Show a schematic diagram showing the layout of the transmission system of a rear wheel driven automobile.

What is euler operators, What is euler operator Once a polyhedron model...

What is euler operator Once a polyhedron model is available one might want to edit it by adding or deleting vertices, edges and faces to create a new polyhedron. These operatio

Calculate the final velocities of the two masses, Calculate the final veloc...

Calculate the final velocities of the two masses: A mass of 10 kg moving along with a velocity of 10 m/sec along x direction follows another mass of 4 kg moving with 5 m/sec i

Calculate the radius of plates, Calculate the radius of plates: A lami...

Calculate the radius of plates: A laminated steel spring, simply supported at the ends & centrally loaded, along a span of 0.8 m; is needed to carry a proof load of 8 kN; and

About moment of inertia, what is the difference between polar and mass mom...

what is the difference between polar and mass moment of inertia?

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