Calculate diameter of shaft in maximum direct stress:

A shaft is designed for transmitting 100 kW power at 150 rotation per minute. Shaft is supported in bearings 3 m apart and at 1 m from 1 bearing a pulley exerting transverse load of 30 KN on shaft is mounted. Obtain diameter of shaft if maximum direct stress is not to exceed 100 N/mm2.               

Sol.:                                       

R_a + R_b = 30 KN

R_a = 20 KN

R_b = 10 KN

Maximum bending moment occurs at 'C'.

M_C  = 20 × 1 = 20 KN-m                                                                                ...(i)

The power transmitted by shaft P = 2  NT/60

100 × 10³  =   2  x 150. T/60

T = 6366.19 N-m                                                                                         ...(ii)

Equivalent bending moment M_e = ½[M + (M₂ + T₂)^1/2]

= ½[20,000 + (20,0002 + 63692)^1/2]

M_e  = 20494.38 N-m                                                                                      ...(iii)

From the bending equation Me/I = σ/y 2044.38 × 10³/[ ( ?/64)d⁴] 100/d/2

d = 127.8 mm 

Posted Date: 10/27/2012 1:38:15 AM | Location : United States

Ask an Expert

Related Discussions:- Calculate diameter of shaft in maximum direct stress, Assignment Help, Ask Question on Calculate diameter of shaft in maximum direct stress, Get Answer, Expert's Help, Calculate diameter of shaft in maximum direct stress Discussions

Write discussion on Calculate diameter of shaft in maximum direct stress
Your posts are moderated

Write your message here..

Related Questions

Constituents of seam welding, Constituents of seam welding The essentia... Constituents of seam welding The essential elements of a seam welding machine are: Main frame containing welding transformer and tap switch. Welding head consisting o

Compare two stroke with four stroke engine, Compare Two Stroke with four st... Compare Two Stroke with four stroke Engine: T w o Stroke Engine In two stroke engine all the four operation that is suction, compression, ignition and exhaust are compl

Group technology, comparing the different coding systems ? comparing the different coding systems ?

Magnitude of the resultant couple, Magnitude of the resultant couple: ... Magnitude of the resultant couple: For non-parallel forces also the location of the line of action of resultant may be determined by utilizing R × d = ∑ M o . The magnitu

Show dike heights and distance from containers, Wall-type bunds / dikes for... Wall-type bunds / dikes for storage compounds should be from 0.5 m to 1.5 m high (1.5 ft. - 5 ft. - check local codes and regulations), depending on the required containment capaci

Process planning system, importance of process planning system importance of process planning system

Parallelograular law of forces and triangular of forces, two forces are act... two forces are acting at a point''o'',determine magnitude and direction by using parallelogram law of forces and triangular law of forces

Explain parts of the machine of radial drilling, Major parts of the machine... Major parts of the machine of Radial drilling machine Column The column is cylindrical in shape and built rugged and solid. The column supports the head and the sleeve or

Explain the process for solve screw conveyer problem, Process for solve scr... Process for solve screw conveyer problem For fully automatic extension of screw conveyer according to screed width we have to go for some design changes, At the end of main

Derive eulers equation of motion, (a) Reduce expression for the net pressur... (a) Reduce expression for the net pressure and depth of centre of pressure in case of an inclined plan surface submerged in a fluid. (b) Derive Euler's equation of motion along