Find the inner diameter of the tubular steel shaft, Mechanical Engineering

Find the inner diameter of the tubular steel shaft:

A solid aluminium shaft having 1 m long & of 50 mm diameter is to be replaced by a tubular steel shaft of the similar length and similar outside diameter so that either shaft might carry the same torque and contain the similar angle of twist, over the overall length. What should be the inner diameter of the tubular steel shaft?

Modulus of rigidity of steel might be taken as 0.85 × 105 N/mm2 and that of aluminium as 0.28 × 105 N/mm2.

Solution

Solid Aluminium Shaft lA = 1000 mm

dA = 50 mm

GA = 0.28 × 105 N/mm2

Tabular Steel Shaft

Ls = 100 cm

Ds0 = 50 mm,  dsi = ?

Gs = 0.85 × 105 N/mm2

Here,   TA = Ts and θA = θs

J A=  π (d A)4  = (π/32) × 504  = 6.25 π × 106 / 32 mm4          

110_Find the inner diameter of the tubular steel shaft.png

We know,

T/J  = G θ/l or θ = T l/JG

Therefore,

θA  = (TA lA   /  ((625 π/32) × 0.28 × 10) ) radian

1423_Find the inner diameter of the tubular steel shaft1.png

 

Since θA = θs and also TA  = Ts , lA  = ls

1200_Find the inner diameter of the tubular steel shaft2.png

    dsi  = 45. 243 mm

Posted Date: 1/21/2013 4:48:14 AM | Location : United States







Related Discussions:- Find the inner diameter of the tubular steel shaft, Assignment Help, Ask Question on Find the inner diameter of the tubular steel shaft, Get Answer, Expert's Help, Find the inner diameter of the tubular steel shaft Discussions

Write discussion on Find the inner diameter of the tubular steel shaft
Your posts are moderated
Related Questions
A pump station has been designed to lift water out of a 6 metre deep pit (vented to atmosphere) via a centrifigual pump mounted at ground level.                    Liquid condit

Determine the theoretical COP for a CO 2 machine working between the temperature range of 25 O C and -5 O C. the dryness fraction of CO 2 gas during the suction stroke is 0.6. fo

slidder crank chain / reciprocating engine mechanism pics

Planning A New Airport: Elements of Airport Planning The elements of planning for a new airport are : (a)        Demand Forecast (b)       Site Selection (c)

a hot brass plate is having its upper surface cooled by impinging jet of air at temperature of 15 degree celcius

Define Trunnion Jig These jigs are used for drilling holes on very large or odd. 1. Figure shows the shaped parts from different sides. Figure: Trunnion

Clutch cable model: Ensure the cables fitted are of the respective model and not interchanged with other model. Also ensure that the cable is genuine.

Consider radar with a PRF of 5 kHz. What is the maximum unambiguous range R ua of this radar, in km?  If a target is located at a range of 50 miles, how many pulses will the r

Draw and Illustrate all the inversions of a double slider crank chain. Get an expression for the length of a belt in 1. an Open belt drive ;  And 2. a Cross belt drive.

This assignment will simulate large deformations (nonlinear geometry) and occurrence of necking and buckling due to static tensile and compressive loading of a given elastic-plasti