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

Involutes, considerations for shape changers

considerations for shape changers

Bench vices tool and equipment , Bench Vices: Bench vice is used to hold a...

Bench Vices: Bench vice is used to hold a job on a bench. It consists of a movable jaw, a fixed jaw, spindle and a lever. Figure shows a bench vice. The movable jaw is in the fron

Ventilation fan belt assembly, The aim of this assignment is for the studen...

The aim of this assignment is for the student to use the information, data and analysis techniques presented during lectures to design a belt drive transmission for a ventilation f

Determine moment of the force about the origin, (a) What do you understand ...

(a) What do you understand by couple moment. Is it a free vector ? (b) A force F = 10i + 6j - 6k N performs at a position (10, 3, 4) m relative to a coordinates system. Determin

Define edge joints, Edge joints: The flanged edge joint is suit- able for p...

Edge joints: The flanged edge joint is suit- able for plate 1/4 inch or less in thickness and can only sustain light loads. Edge preparation for this joint may be done.

Up milling and down milling, table representing the differences between up ...

table representing the differences between up milling and down milling

Impulse- momentum - work and energy, Impulse, Momentum, Work and Energy: ...

Impulse, Momentum, Work and Energy: As a part of summary, you can remember various important principles in terms of following equations.  (i)        Impulse-Momentum equati

Foundary, impartance of moulding sand

impartance of moulding sand

Working of supercritical steam rankine cycle, With the help of neat diagram...

With the help of neat diagram illustrate the working of supercritical steam Rankine cycle. Discuss its limitations. Diagram the flow graph of modern thermal power plant and show

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