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

Evaluate reaction of support of the frame, Evaluate reaction of support of ...

Evaluate reaction of support of the frame: How can you evaluate reaction of support of the frame? Sol.: The frames are usually supported on roller support or on a hinge

Solve equation by gauss elimination method, Solve the following equation by...

Solve the following equation by Gauss elimination Method : 2x + y + z = 10, 3x + 2y + 3z = 18; x +4y +9z = 16 Solve by Gauss-Seidal iteration method: 20x + y - 2z = 17; 3x

Moments and forces, 3. A string of length l is fastened to two point A and ...

3. A string of length l is fastened to two point A and B at the same level at a distance ‘a’ apart. A ring of weight W can slide on the string and a horizontal force P is applied s

Formula for maximum power transmitted by belt, Formula for maximum power tr...

Formula for maximum power transmitted by belt: Derive formula for maximum power transmitted by belt when centrifugal tension is considered. Sol: Let T 1  = Tension on

Modulus of rupture, Modulus of Rupture: What is the Modulus of Ruptur...

Modulus of Rupture: What is the Modulus of Rupture? Sol.: The maximum fictitious shear stress which can be calculated by torsion formula by using the experimentally fou

CHEMISTRY, EXPALIN PREPARATION OF LYOPHILIC AND LYPHOBIC SOLS

EXPALIN PREPARATION OF LYOPHILIC AND LYPHOBIC SOLS

Define flare and vru system, Q. Define FLARE AND VRU SYSTEM? VRU, HP an...

Q. Define FLARE AND VRU SYSTEM? VRU, HP and LP Flare systems are used to collect normal and emergency releases from the process and recycle or dispose of them in a safe manner.

How is angle of dispersion used in footing, How is angle of dispersion used...

How is angle of dispersion used in footing? Angle of Dispersion Indian Standards (IS) has specified relation for determining the angle, of dispersion. According to IS the an

Determine the machining time in milling operation, Determine the Machining ...

Determine the Machining Time in Milling Operation An HSS slab mill of 100 mm diameter and 150 mm width is used on a Horizontal milling machine to mill C50 steel. The milling c

Applications with medium laser power, Applications with Medium Laser Power ...

Applications with Medium Laser Power   Several laser welding applications have recently evolved in this power range of 1 to 10 kW. Because, the laser provides a basis for co

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