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

Describe vortex flow, Describe vortex flow and derive mathmetical equation ...

Describe vortex flow and derive mathmetical equation Z= w 2 r 2 /2g for forced vertex flow ω= angular velocity z= height of parabola r= radius of parabola

Illustrate various kinds of control systems, Illustrate various kinds of co...

Illustrate various kinds of control systems. Illustrate several block diagram reduction rules with examples. Determine C/R by using block diagram reduction method.

Maximal conductances and reversal potentials, By introducing their model of...

By introducing their model of neural excitability in 1952, Alan Lloyd Hodgkin and Andrew Huxley not only shed light on the mechanism underlying a very important phenomenon in Physi

Overall deformation of a component, Q. Overall deformation of a component? ...

Q. Overall deformation of a component? The overall deformation of a component is a function of the applied load, the materials' creep rate, the maximum in-service temperature,

Determine the convection coefficient associated with airflow, An experiment...

An experiment to determine the convection coefficient associated with airflow over the surface of a thick stainless steel casting involves insertion of thermocouples in the casting

Design wellheads and wellpads, Q. Design Wellheads and Wellpads? Hydroc...

Q. Design Wellheads and Wellpads? Hydrocarbon-producing wellheads and wellpads shall be located in open, well ventilated areas with as much segregation from other critical equi

Explain interpoles or commutating poles, Interpoles or commutating poles ...

Interpoles or commutating poles Interpoles are ?xed to the frame in among main poles. They are used for sparkless commutation, i.e, to improve commutation.

Understanding the role of ownership, Understanding the Role of Ownership : ...

Understanding the Role of Ownership : Before starting a business, entrepreneur should know what is involved in owning a business and what are the roles one will have to play to st

Force exerted by jet on an fixed vertical plate, Show that the force exerte...

Show that the force exerted by jet of water on a fixed semi-circular plate in the direction of jet when the jet strikes at the centre of the semi-circular plate is two times the fo

Concept and application of limiting friction, Concept and application of li...

Concept and application of limiting friction: Sol.: The maximum value of frictional force that comes into play, when the body just begins to slide over the surface of the ot

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