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
Explain the subtractive process of Rapid Prototyping

Calculate the Net Positive Suction Head A pump station has been designed to lift water out of a 6 metre deep pit (vented to atmosphere) via a centrifugal pump mounted at groun

A multiple disc clutch, steel on bronze, is to transmit 4.5 kW at 750 r.p.m. The inner radius of contact is 40mm and outer radius of the contact is 70 mm. The clutch operates in oi

Express the force in vector form: A force of 400 N forms angles of 45 o , 65 o and 120 o , respectively, along with the x, y and z axes. Express the force in vector form.

what are the necessery calculation required to design a gripper?

applications of dynamically induced emf


Explain the Base of radial drilling machine The base of the drilling machine handles the entire machine and when bolted to the floor, gives for vibration-free operation and bes

Constant Mesh Type Gear Box : Most of the gearboxes on motorcycles are "constant mesh". That means all the gears are constantly meshed with one another and are always spinnin

1. Given the following grammar S à 0A0 | 1B1 | BB; A à C; B à S | A; C à S | ε, (a) ( Derivation ) Given a left-most and right-most derivation of a string 01001110 (b) ( Parse tree