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

Stitch welding, Stitch welding Here, a series of overlapping spot welds...

Stitch welding Here, a series of overlapping spot welds are made with the spot welding machine using the conventional electrode tip. Both water tight and gas tight joints can b

Belts, crowning of pulley

crowning of pulley

EM2013KEN2401MECH, Hi. I have made a payment for the above ticket number. W...

Hi. I have made a payment for the above ticket number. Will I get all the workings out too? [email protected]

CAPP, Applications of capp

Applications of capp

Net hydrostatic moment on the cylinder, A long cylinder of radius 2 m hinge...

A long cylinder of radius 2 m hinged at point A is used as an automatic gate. When the water level reaches 15 m the gate automatically opens. Determine the magnitude of the net hyd

Find out the centroid of the shaded area, Find out the centroid of the shad...

Find out the centroid of the shaded area: Find out the centroid of the shaded area illustrated in Figure (a). Solution The shaded area A may be considered as the

Nature of bending stress, Natur e of Bending Stress If the beam is not...

Natur e of Bending Stress If the beam is not loaded, it will not bend as shown in the figure-a. But if the beam is loaded, it will bend as shown in the figure-b, whatever may

Axial flow turbine, The mass flow rate is 28kg/s in an axial flow gas turbi...

The mass flow rate is 28kg/s in an axial flow gas turbine that develops 3.5MW. The stagnation conditions are 780KPa and 730 deg.C. at the entry. At the exit of the nozzle, the stat

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