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 l_A = 1000 mm

d_A = 50 mm

G_A = 0.28 × 10⁵ N/mm²

Tabular Steel Shaft

Ls = 100 cm

D_s0 = 50 mm,  d_si = ?

Gs = 0.85 × 105 N/mm²

Here,   T_A = Ts and θ_A = θs

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

We know,

T/J  = G θ/l or θ = T l/JG

Therefore,

θ_A  = (T_A l_A   /  ((625 π/32) × 0.28 × 10) ) radian

 

Since θ_A = θ_s and also T_A  = Ts , l_A  = ls

    d_si  = 45. 243 mm

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

Ask an Expert

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

Write your message here..

Related Questions

The leader command-autocad, The Leader Command The Leader command can b... The Leader Command The Leader command can be used to annotate at any point on a drawing. The command sequence below was used to draw the leader shown in the Figure Below.

Disc type brake, Disc Type Brake:  As shown in Figure the disc brake ... Disc Type Brake:  As shown in Figure the disc brake consists of a pearlitic grey cast iron disc bolted to the wheel hub and a stationary housing called caliper. Casting in tw

Particle moving in a circle with a constant angular speed, Which of the sta... Which of the statements are true for a particle moving in a circle with a constant angular speed? Ans)  The angular speed is how fast the angle changes. So  it measures  A particl

Molecular structure, Molecular Structure The polymers have three disti... Molecular Structure The polymers have three distinct arrangements of molecular chain, hence resulting in three structures. In amorphous structure the molecular chain are ar

Thermodynamics, Show that the entropy maximum principle encountered in the ... Show that the entropy maximum principle encountered in the study of isolated system is equivalent to the statement that the nonflow exergy of an isolated system is destined to decr

Calculate the maximum stresses in the end plate, The end plate of a tube is... The end plate of a tube is made from 4mm thick steel plate as seen in the figure below. If a 30mm diameter rod welded to the plate is subjected to a force of 10kN, what would be th

Evaluate the indicated thermal efficiency, (a) Briefly explain the various ... (a) Briefly explain the various efficiency terms associated with an engine. (b) A four cylinder engine running at 1200 rpm delivers 20 KW. The average torque when one cylinder w

Important terms related to boiler, IMPO R T AN T TERMS: Fi r e ... IMPO R T AN T TERMS: Fi r e Box: Place where fuel is burnt. Grat e : The fuel is burnt on this. Baffles : Plates are used for directing the flow of flue gass

Proell governor., how to solve numerical of proell governor how to solve numerical of proell governor

Determine moment of this normal force - rectangular beam, Determine moment ... Determine moment of this normal force - rectangular beam: A rectangular beam contains a width of 100 mm and a depth of 200 mm. This is utilized as a simply supported beam & th