Find out the forces in cantilevers frame, Mechanical Engineering

Find out the forces in cantilevers frame:

Find out the forces in the members of the cantilevers frame by the method of sections.

Solution

Let the equilibrium of the frame to the right of section (1) - (1).

Joint D

f ED  sin 45o  + 2 = 0   ⇒ f ED  = - 2 √2 t

The - ve sign define that the member is in compression as against tension as supposed above.

∴          f ED  = 2 √2 t  (comp.)

and,

fEDcos 45o  = fCD  ⇒      fCD= 2   √2 × (1/√2) = 2 t (tension)

Now letting the equilibrium to the right of section (2) - (2) (let the forces fBC, fFC, and fFE be taken as tensile); and taking moment about F (where two of these three forces intersect) :

f BC  × 3 ← = 2 × 6 → + 2 × 3 →

∴          f BC  = 6 t               (tensile)

Taking moment about C

2 × 3 + f FE  × 3 = 0

 (that means the sum of moments has to the zero, for equilibrium, no matter whatever the sign of forces in assumed.)

∴          f EF = - 2 t          

∴          f EF = 2 t   (comp.)

Further,

2 × 2 + f FC cos 45o = 0

∴          f FC  =- 4 × √2 t   ⇒ ∴ f FC  = 4  √2 t      (comp.)

Likewise, with respect to section (3) - (3)

2 × 9 + 2 × 6 + 2 × 3 - f AB × 3 = 0

(Taking moments about G).

 ∴         f AB  = 12 t

2 × 6 + 2 × 3 + fGF  × 3 = 0  (tension)

 (Taking moments about B).

∴          fGF = - 6 t   ⇒  ∴ fGF = 6 t   (comp.)

Resolving the forces vertically at B

2 + 2 + 2 + fGB  cos 45o = 0

∴          fGB  =- 6√2 t   ⇒ fGB  = 6√2 t  (comp.)

Letting the right-hand portion of the frame, with reference to section (4) - (4), and resolving the forces vertically.

f EC   = 2 t

Likewise, we get

f FB  = 4 t   (tension)

Posted Date: 1/29/2013 7:40:55 AM | Location : United States







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

Write discussion on Find out the forces in cantilevers frame
Your posts are moderated
Related Questions
Basic elements of flashbutt welding A flash butt welding machine is mainly comprised of a Main frame Stationary Platen Moving Platen Clamping mechanism Transf

#draw a net sketch of the geometry of a single point tool.

minimum mass of air required for complete combustion of the HFO

Compound Stress: Define Compound Stress. Sol.:   Simple stresses mean tensile stress or compressive stress or shear stress. The tensile and compressive stresses act on p

Which of the statements are true for a particle moving in a circle with a constant angular speed? Ans)  The angular speed is how fast the angle changes. So  it measures  A particl

Bending moment

Find out the velocity of the chain: Figure shows a metal chain ABC where portion BC is of length 0.4 metres and is hanging vertically, & portion AB of length 0.8 metres rests

Strain energy stored in a body due to impact load

Stress relaxation is creep related phenomenon: Problem: What is stress relaxation? Give example. Solution Stress relaxation is creep related phenomenon. It is los

Disk requests come in to the disk driver for cylinders 10, 22, 20, 2, 40, 6, and 38, in that order. A seek takes 6 mes per cylinder moved. How much seek time is needed for (a) F