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

Capp for machining process, CAPP for Machining Process This explained ...

CAPP for Machining Process This explained mainly two different approaches to Computer Aided Process Planning, i.e.  (a) Variant approach, and  (b) Generative approach.

About cam''s use, Which type of cam is used in general 2 wheelers?and how t...

Which type of cam is used in general 2 wheelers?and how the type of profile is determined?

Strength of materials, The figure shows a particular point of the connectin...

The figure shows a particular point of the connecting rod BA and crank AO. At this position the rod the engine exacts a force 2500N on the crank oin at A. Resolve this force into h

Thermal systems, A motor coil can be modeled as a hollow copper cylinder wi...

A motor coil can be modeled as a hollow copper cylinder with an outer diameter of 50 mm, an inner diameter of 40 mm, and a length of 60 mm. The motor stalls at time t ¼ 0 and, at t

Determine the position of the neutral axis, An 8 kN.m moment is applied at ...

An 8 kN.m moment is applied at the end of a block fixed into the ground as illustrated in thefigure below. The moment vector (double arrow head representation) acts in line with th

How to define automatic float operated gauges, Q. How to define automatic f...

Q. How to define automatic float operated gauges? In recording type gauges, automatic float operated gauges are more common. The well for the float provides room for installati

Intermittent motion, Intermittent motion Most seam welding machine requ...

Intermittent motion Most seam welding machine requirements are met by the use of continuous drive. However, in cases where heavy work parts are to be welded or more than a sing

Determine the maximum efficiency, A jet strikes tangentially a smooth curve...

A jet strikes tangentially a smooth curved vane moving in the similar direction as the jet, and the jet gets reversed in the direction. Prove that the maximum efficiency is slightl

Motion of two bodies - rough surface and smooth pulley, Motion of two bodie...

Motion of two bodies - rough surface and smooth pulley: THE HORIZONTAL SURFACE IS ROUGH AND THE STRING IS PASSING OVER SMOOTH PULLEY. Figure shows two weights W 1 and W 2

Forces working on sphere, Forces working on sphere: Let a sphere of ma...

Forces working on sphere: Let a sphere of mass m, suspended by means of a string, resting against a smooth wall, as illustrated in Figure (a). What are the forces working on i

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