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
An inside cylinder locomotive has its cylinder centre lines 0.70m apart and has a stroke of 0.60m. Rotating mass per cylinder = 150kg Distance between wheel Centre lines = 1.

A hollow mild steel tube 6 m long 4 cm internal diameter and 6 mm thick is used as a strut with both ends hinged. Determine the crippling load and safe load taking factor of safety

RESISTANCE WELDING The types are as follows: Resistance Spot Welding Resistance Seam Welding Projection Welding Flash Butt Welding Flash Butt Welding Stit

can you explain about merchant circle,cutting forces

A cantilever beam is loaded with a concentrated. Force of 5kN at the free end. The length of the cantilever beam is 1m having cross section of 50×50mm. determine the equation for b

Heat Treatment of Stainless Steels: Stainless steels, as other steels, react to heat treatments over broad range. They are subjected to one or more of the given heat treatmen

(a) What are the need of a surface condensing ? Write disadvantages and advantages of Jet condenser and surface condenser. (b) A surface condenser is designed to handle 10000 Kg

application of optiz

Q. Define Non - consumable electrode? These types of electrodes are prepared from high melting point materials. Mainly carbon, pure tungsten and its alloy are used for electrod

The round tensile specimen given  below has a diameter of 0.5 in. A load, F, is applied and the deflection, g , is calculated. Given the following                    d = 0.5 in