Determine the maximum shear stress and angle of twist, Mechanical Engineering

Assignment Help:

Determine the maximum shear stress and angle of twist:

A hollow circular shaft of 6 m length and inner & outer diameter ois equal to 80 mm and

100 mm is subjected to a torque of 20 kN-m. If G = 80 GPa, determine the maximum shear stress and the angle of twist.

Solution

l = 6 m;            do = 100 mm;  di = 80 mm

T = 20 kN-m = 20 × 103 N-m

G = 80 GPa = 0.8 × 1011 N/m2

1711_Determine the maximum shear stress and angle of twist.png

R = 50 mm

Z P       = J / R = 5.8 × 10-6 /0.05   = 1.16 × 10- 4 m3

T/ J = τmax / R     = G θ/ l

τmax = T /ZP =    20 × 103 / 1.16 × 10- 4

 = 17.2 × 107 N/m2

 = 172 N/mm2

θ= τmax /R ×  (l/G) = 172 × 10 6 /0.05 × (6/ (0.8 × 1011))

= 0.258 radian = 14.78o.


Related Discussions:- Determine the maximum shear stress and angle of twist

Determine the efficiency of bell coleman cycle, (a) Derive a mathematical e...

(a) Derive a mathematical expression to determine the efficiency of Bell Coleman Cycle. (b) A dense air refrigeration cycle acts between pressures of 4 bar and 16 bar. The air t

Flash butt welding, Flash Butt Welding This process is an extension of ...

Flash Butt Welding This process is an extension of resistance butt welding. The parts to be joined are gripped in the clamps and their interfaces are gradually brought into con

Method of section, Method of section: Define the method of section? H...

Method of section: Define the method of section? How can you solve the problems with the help of method of section? Sol.: This method is powerful method for determining

Corrosion assessment for water disposal system, Q. Corrosion Assessment for...

Q. Corrosion Assessment for Water Disposal System? Due to the high salt contents and oxygen contamination, disposal water is highly corrosive to CS material. HCL line and in

Distribution of circumferential stress intensity, A thick cylinder 125 mm i...

A thick cylinder 125 mm inside diameter and 250 mm outside diameter is subjected to an internal fluid pressure of 50N/mm 2 . Determine the maximum and minimum intensities of circum

MOS, limitations of euler''s theory

limitations of euler''s theory

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

how we can design a shaft for gear box

Determine the centroid of the area, Determine the centroid of the area: ...

Determine the centroid of the area: Determine the centroid of the area OBDC Solution The trapezium area is divided in two simple areas,  (i)        A 1 = Rectangle

Weld defects, WELD DEFECTS The common defects encountered in submerged ar...

WELD DEFECTS The common defects encountered in submerged arc welding are: a. Slag inclusion b. Porosity c. Cracking of welds.   a). Slag Inclusion : Slag in

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