Find out the forces in the members of the tower, Mechanical Engineering

Find out the forces in the members of the tower:

Find out the forces in the members of the tower.

Solution

By symmetry, ∠ AFG = ∠ AGF = θ and HG = 7.5 m; while AH = 3 × 5 = 15 m.

∴   22_Find out the forces in the members of the tower.png

cos θ= 7.5 /AG =  7.5 /16.77 = 0.4472

 (∴ θ = 63.434 degrees)

 and,  sin θ=   15/16.77  = 0.8944

Letting the equilibrium of joint A (and, supposing fAB and fAC both to be tensile), and resolving forces horizontally and vertically, we obtain:

10 + f AC cos θ - f AB cos θ = 0        --------- (i)

And    f AB sin θ+ f AC sin θ= 0            -------- (ii)

From (ii), f AB = - f AC

and, thus, from (i)

10 + 2 f AC cos θ = 0

∴          f AC  =-  5 /0.4472

                     = - 11.1806 t

 (- ve sign indicating fAC is under compression and fAB = + 11.1806 t (that means tension).

Joint B

Suppose both fBC and fCD to be both tensile; and resolving forces at right-angles to AD:

                 FBC sin θ= 0 ⇒ ∴ f BC = 0

Hence, f AB = f BD = 11.1806 t(i.e. tensile).

Joint C

Suppose forces fCD and fCE to be both tensile, and resolving all the forces at right angles to AE (taking ∠ DCE = α).

 fCD sin α= 0 ⇒  ∴ fCD  = 0

 Since both fBC and fCD are equal to zero:

fCE = f AC  = 11.1806 t(comp.)

Joint D

Suppose fDE and fDF both to be tensile and resolving out forces at right-angles to BF:

f DE  sin θ= 0 ⇒  ∴ f DE  = 0

As fCD  = f DE  = 0 ⇒  ∴ f DF   = f BD  = 11.1806 t

Joint E

Assume fEF and fEG to be both tensile, and resolving forces at right-angles to CG :

f EF  sin α= 0   ⇒ f EF   = 0

∴ f EG  = fCE  = 11.1806 t (comp.)

 (a)       A frame illustrated in Figure is supported by a hinge at A and a roller at E. Compute the horizontal & vertical components of hinge forces at B and C as they act upon member AC.

Posted Date: 1/29/2013 7:43:06 AM | Location : United States







Related Discussions:- Find out the forces in the members of the tower, Assignment Help, Ask Question on Find out the forces in the members of the tower, Get Answer, Expert's Help, Find out the forces in the members of the tower Discussions

Write discussion on Find out the forces in the members of the tower
Your posts are moderated
Related Questions
Q. Explain basic types of Sand testing? Moulding sands should be of proper quality to meet the required level of accuracy and surface finish of castings. Proper quality of the

Explain the meaning of A raft foundation A raft foundation, as also combined footing, cannot be considered to be the opposite of a slab supported on the columns with a defined

brifely explain 2r-2p invertion

Function Phase: Steps: 1. To identify the functions. To identify the functions regarding to the problem in radial drilling machine. Our project focus on the create an a

Can you explain the principal of resistance welding? Classify various Resistance welding processes and Illustrate in detail two of them. With the help of neat and clean graph ex

Find out the friction force: The cord passes over a massless and frictionless pulley, carrying a mass M 1 at one end and wrapped around a cylinder of mass M 2 which rolls on

Case study entitled " Exxon Valdez Oil Spill Disaster ". 1.      Examine the aim and objectives of Exxon Mobil Corporation. 2.      Carefully observe the oil and refinery ind

some suitable examples

Compute amplitude and frequency of the particle: The displacement of a particle is described by x = 5 + 3 cos 3 t. Determine the position of the particle at t = 3 seconds. Com

Discover the angle of twist: Discover the diameter of the shaft needed to transmit 60 kW at 150 r.p.m., if the maximum torque is possible to exceed the mean torque by 25% for