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

Turnning fixtures, What are the forces coming on workpiece during turning a...

What are the forces coming on workpiece during turning and how workpiece should be clamp?

Thermodynamics, we can use in proove of energy is a propertyof system we ca...

we can use in proove of energy is a propertyof system we can use (E) instead of (dQ-dW)

Theory of production process, In Grey Cast Iron, carbon is present in -----...

In Grey Cast Iron, carbon is present in ------------form while in white cast iron, it is found in ----------- form.

Shear stress, At apoint in apiece of elastic materialdirect stress of90mega...

At apoint in apiece of elastic materialdirect stress of90meganewton permeter square tensile and 50 mega newton per meter sqare compressive applied on mutually perpedicular planes.d

What is bolt elongation, Q. What is Bolt Elongation? The required bolt ...

Q. What is Bolt Elongation? The required bolt elongation Δ 1 may be calculated by the equation (7): Δ 1 = 3.25 * 10-8 * SB * L0 (in) (7) Where L 0 is the effect

Describe soldering, Soldering Soldering is defined as a metal joining...

Soldering Soldering is defined as a metal joining process wherein coalescence is produced by heating the surfaces to be joined to a suitable temperature and melting the fille

Evaluate force by replacing equivalent force, Evaluate force by replacing e...

Evaluate force by replacing equivalent force: In designing lifting hook, the forces acting on horizontal section through B can be determined by replacing F by equivale

Draw body centred cubic structure, Draw BCC structure and determine its num...

Draw BCC structure and determine its number of atoms per unit cell, co-ordination number and highest edgeradius relation. Draw FCC structure and determine its number of atoms pe

Define milling cutter - geometry of cutting tool, Define Milling Cutter - G...

Define Milling Cutter - Geometry of Cutting Tool Out of large verity of milling cutter used in milling cutter used in milling practice, two types of cutter chosen to describe t

Compute the force exerted by the tires on the road, Compute the force exert...

Compute the force exerted by the tires on the road: An automobile of mass 1500 kg traverses a 500 m curve at a constant speed of 50 kmph. Supposing no banking of the curve,

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