Find out the power - hollow shaft, Mechanical Engineering

Assignment Help:

Find out the power - hollow shaft:

A hollow shaft of internal diameter 400 mm & external diameter 450 mm is needed to transmit power at 120 rpm. Find out the power it may transmit, if the shear stress is not to exceed 50 N/mm2 & the maximum torque exceeds the mean by 30%.

Solution

do = 450 mm,  di = 400 mm,   N = 120 rpm

τmax = 50 N/mm2 = 50 × 106 N/m2

Tmax  = τmax  × Z P

625_Find out the power.png

=  (π /32 )(4504  - 4004 ) = 1.51 × 109 mm4

R = do /2 = 450 = 225 mm

Z P        = J/ R = 1.51 × 109 /225 mm3 = 6.7 × 10- 3  m3

τmax  = (50 × 10 ) (6.7 × 10) = 335 × 10  N-m

τmax  = 1.3 × T

⇒         335 × 103  = 1.3 T

∴          T = 258 × 103 N-m

∴          Power, P = 2π NT/60 = 2π × 120 × 258 × 103 /60

                         = 3242 × 103 watts = 3242 kW


Related Discussions:- Find out the power - hollow shaft

Shear force and bending moment diagrams and contra flexure, Draw the shear ...

Draw the shear force and bending moment diagrams for the beams shown in Figures 4 and 5. Also find the maximum shear force, bending moment and the points of contra-flexure

Vented causeway, Vented Causeway: Vented causeways are structures pro...

Vented Causeway: Vented causeways are structures provided with vents (usually pipes) to take care of dry weather perennial flows and which allow water to overflow the paved b

Calculate change in internal energy of the gas, (a) Illustrate First Law of...

(a) Illustrate First Law of Thermodynamics for a Closed System undergoing a change of state and show that ‘Energy' is a property of the system. (b) A cylinder contains 1 m 3 of

Assumptions in theory of bending, W rite down the different assumptions in...

W rite down the different assumptions in simple theory of bending.                               The assumptions which are made in theory of simple bending are stated below:

Calculate total deflection -two close-coiled helical springs, Calculate tot...

Calculate total deflection -two close-coiled helical springs: Two close-coiled helical springs are compressed among two parallel plates by a load of 1000 N. The springs contai

Find out the moment of inertia of an annular area, Find out the moment of i...

Find out the moment of inertia of an annular area: Find out the M. I. of an annular area among two circles where difference of radius is quite small, around any centroidal axi

What are the capabilities of step, What are the capabilities of STEP In...

What are the capabilities of STEP Industry-Developed STEP Capabilities AP-203, Configuration Control for 3D Design of Mechanical Parts and Assemblies, provides a very robust

Gear box, how we can design a shaft for gear box

how we can design a shaft for gear box

Tom, ‘coefficient of insensitiveness’ of governors

‘coefficient of insensitiveness’ of governors

Thermal reservoir - thermodynamics, Thermal Reservoir - Thermodynamics: ...

Thermal Reservoir - Thermodynamics: Thermal Reservoir. A thermal reservoir is the part of environment that can exchange heat energy with system. It has adequately large capa

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