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
calculate the vertical reaction at A in Newtons


Q.   Give the expression for inductance of a ? N ?    turn coil wound on a core having length I cross - sectional area A and magnetic permeability µ. Explain the significance of

Q. Maintenance requirement at storage tanks? Little maintenance is required at storage tanks; sometimes access is required for equipment used to remove accumulated solids (this

Enthalpy defines as heat content of a chemical system.

• IGF Vessel SH: CS + 1.6 mm CA + Internal Coating Eductor: 304L SS or alternatively, 12Cr • ORF Vessel SH: CS + 1.6mm CA + Internal Coating Mixer: 316L SS • Skim Oil T

Ask question explin opiz code #Minimum 100 words accepted#

• For the ASTM dogbone specimens, the ¾ inch hole specimens, and the notched specimen tabulate the failure load, in pounds. • Show plots of stress and strain for all specimens w

Compression Ratio (r): It is the ratio of the total cylinder volume when the piston is at the bottom dead centre, V t to the clearance volume, V C . R= v t /v c

Sand Blasting: Historically sand blasting was operated with only using sand only as abrasive media. Today the advance of technologies had brought manufacturer more variety in