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 vibration, A body is subjected to two harmonic motions ...

A body is subjected to two harmonic motions as given below : X 1 = 15 sin (wt + 30 0 ) and X 2 = 8 cos (wt + 60 0 ). What harmonic motion should be given to the body to bring

Production test rings, Q. Production Test Rings? The frequency for the ...

Q. Production Test Rings? The frequency for the tests shall be as follows: • One sample at the 10th joint • One sample at the 75th joint • One sample at the 300th join

Laminar flow, Consider fully developed laminar flow with constant propertie...

Consider fully developed laminar flow with constant properties in a circular tube. Let there be heat transfered  to or from  the fluid at a constant rate per unit of tube length.Ad

Expression for normal and shear stress, Expression for normal and shear str...

Expression for normal and shear stress: Derive expression for normal and shear stress on the plane AE inclined at an angle B with AB subjected to the direct stresses of compr

Composite aspect ratio, Composite Aspect Ratio The length ratio of a r...

Composite Aspect Ratio The length ratio of a reinforcing fibre to its diameter is termed as aspect ratio. In the so-termed as fibre reinforced plastics or composites the aspec

TTT of effective normalizing of Ductile tiron, At 1500 degrees F, how much ...

At 1500 degrees F, how much time is required to effectively normalize ductile iron

Define the advantages of abrasive jet cutting machines, Advantages of Abras...

Advantages of Abrasive Jet Cutting Machines 1. Ability to cut brittle or heat sensitive material without damage. 2. Capability to cut intricate holes in material of any hard

Metals and melting practices - ladle, Metals and Melting Practices - Ladle,...

Metals and Melting Practices - Ladle, Limestone,Ore,Sinter Ladle : A big bucket utilized as a carrier for molten metal. Limestone : A Blast Furnace raw material that elimi

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.

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