Design the keys - shear keys, Mechanical Engineering

Assignment Help:

Design the keys - Shear Keys:

A solid circular shaft is to transmit 200 kN at 200 rpm. If the maximum shear stress is not to exceed 80 n/mm2 design the shaft. Design the keys and discover number of 16 mm diameter bolt needed to connect coupling along with a bolt circle of 240 mm diameter.

Permissible stress in keys = 100 N/mm2

Permissible stress in bolts = 100 N/mm2       

Solution

Length of the key = 200 mm

P = 200 kN N = 200 rpm Shaft

d = ?

P = 2π NT / 60

⇒200 × 103  = (2π × 200 × T) /60

∴ T = 9.5 × 103 N-m

T /J = τmax /R  ∴ τ max    = 16T/ π d 3

⇒         80 × 106  = 16 × (9.5 × 10 ) / π d 3

∴          d = 0.085 m ≈ 85 mm

Shear Keys

T = 9.5 × 103 N-m

τ1 = 100 N/mm2

L = 200 mm = 0.2 m

T = τ1 L b R

⇒  9.5 × 103  = (100 × 106 ) (0.2) b ( 0.085/2)

∴  b = 0.011 m ≈ 11 mm

Bolts

τ2 = 100 N/mm2

d = 16 mm

F  = τ2  (π/4) d 2

= 100 × (π /4 )× 162  = 20106.2 N

R1  = 240 /2 = 120 mm = 0.12 m

T = η . F2  . R1

⇒  9.5 × 103  = η × 20106.2 × 0.12

∴  η = 3.9 ≈ 4


Related Discussions:- Design the keys - shear keys

Explain objectives of radial drill machine, Explain Objectives of Radial dr...

Explain Objectives of Radial drill machine There are many objectives such like, 1.   With the help of angle drill machine, an angle hole can be produced at any angle.  2.

Strength of material and engineering mechanics, Di fferentiate between str...

Di fferentiate between strength of material and engineering mechanics Sol.: Three primary areas of mechanics of solids are statics, dynamics and the strength of materials.

Free body diagram - mechanics, Free body diagram: Sol.: In a free bod...

Free body diagram: Sol.: In a free body diagram, the body is considered by itself and also the effect of the surroundings on the body is shown by forces and moments. Free bod

Explain about hardness testing, Q. Explain about Hardness testing? When...

Q. Explain about Hardness testing? When indicated on equipment or vessel data sheets, hardness testing shall be performed as follows: a) Perform hardness tests at or near th

What do you mean by vibration, (a) What do you mean by vibration and the te...

(a) What do you mean by vibration and the terminology used in it to be defined? (b) A body is subjected to two Harmonic motions as provided below x 1 = 10 sin (wt + π/6) and x

Production, what is tooling economics, machine economics and optimization

what is tooling economics, machine economics and optimization

Calculate the average heat transfer coefficient, Air at 1 atm, 300K, and Re...

Air at 1 atm, 300K, and Re = 50,000: a. Flow across the cylinder with a diameter of 10 cm. b. Flow inside a tube with a diameter of 10 cm. c. flow along the flat plate of

Stress distribution diagram, why stress distribution diagram is different f...

why stress distribution diagram is different for I section, T section andcircular section?

Basic blocks of a generalized measurement system, Can you explain the basic...

Can you explain the basic blocks of a generalized measurement system? Draw them and illustrate their functions.

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