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

Industrial jobs, i wanna know is production job is best or marketing after ...

i wanna know is production job is best or marketing after doing btech

I-Section, An unsymmetrical I-Section as shown in figure below. If maximum ...

An unsymmetrical I-Section as shown in figure below. If maximum bending stress is not extend more than 40MPa in the section than find out the moment which it can bear

Illustrate all the laws of mechanics, (a) Illustrate all the laws of mechan...

(a) Illustrate all the laws of mechanics? (b) What ate the two limits of limitation on Newtonian mechanic?

Assumptions in theory of bending, W rite down the different assumptions in...

W rite down the different assumptions in simple theory of bending.                               The assumptions which are made in theory of simple bending are stated below:

Takt time for sand blasting, Takt Time for sand blasting:            ...

Takt Time for sand blasting:             Tatk time is crucial in manufacturing process. It determines the speed of production to produce a product. Time is money toward prod

Evaluate the fourth force, The resultant of four vertical forces is a coupl...

The resultant of four vertical forces is a couple moment 30 Nm acting counter clockwise. Three of the four forces are shown in fig given below. Evaluate the fourth force.

Specifications - boilers, SPECIFIC A TION S:    The boilers are s...

SPECIFIC A TION S:    The boilers are specified as per following parameters : -     Steam Generation Rate : for instance 50 000 kg /hr. -     Maximum Pressure: for

Explain the welding process, All shell and head joints shall be double-weld...

All shell and head joints shall be double-welded butt joints with full penetration. In cases where double welding is impractical, the root pass shall be made by the GTAW process.

What are the elements of theory of vibrations, What are the Elements of The...

What are the Elements of Theory of Vibrations All bodies possessing mass and elasticity can vibrate or undergo vibratory motion. Let us understand a few basic definitions used

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