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

What do you mean by issued for review, Q. What do you mean by Issued for Re...

Q. What do you mean by Issued for Review? This drawing issue of P&IDs is a draft and is intended for the Colt-internal review process involving affected disciplines. This draw

Determine the need for insulation, Q. Determine the need for insulation? ...

Q. Determine the need for insulation? Equipment and piping shall be insulated as required for heat conservation, process heat control and personnel protection. The temperatu

Velocity and pressure, why the pressure will reduce when the velocity incre...

why the pressure will reduce when the velocity increases

#title., kinds of machine tempering

kinds of machine tempering

Estimate the viscosity of this diluted , A diluted polymer solution with a ...

A diluted polymer solution with a density of 1130 kg/m3 was extruded through a capillary tube of 3.5 mm internal diameter and 1 m long. The following results were obtained at 25°C.

Determine the change in diameter, Determine the change in diameter: A ...

Determine the change in diameter: A thin spherical shell of 1.8 m diameter is 10 mm thick. This is filled with a liquid so that the internal pressure is 1 N/mm 2 . Determine t

Energy - thermodynamics, Energy - thermodynamics: The energy can be de...

Energy - thermodynamics: The energy can be defined as the capacity of doing work. The energy possessed by system may be of two kinds. 1. Stored energy: for example potent

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