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

Driving mechanism-knurl or friction drive-gear drive, Driving mechanism ...

Driving mechanism   I). Knurl or Friction Drive :  This has either the upper or lower electrode (or both) driven by a friction wheel on the periphery of the electrode. A co

What do you understand by pele box, What do you understand by PELE box and ...

What do you understand by PELE box and when it is utilized? Ans. The equipments required in PELE box are: i. HOLDER ii. TRIPOD STAND iii. BULBS iv. CROCODILE CLIP

Plates-battery components , Plate : These are also known as electrodes. Th...

Plate : These are also known as electrodes. There are two types of group of plates - Positive and Negative. Each group contains more than one plate. A group of positive plates is

Workplace operations requiring safety, Workplace Operations Requiring Safet...

Workplace Operations Requiring Safety The operations performed through workers in their workplace are of dissimilar nature but they involve a number of machine, equipment and

Maximum shear stress and angle of twist, Maximum shear stress and angle of ...

Maximum shear stress and angle of twist: Torques are applied on the shaft as illustrated in Figure. Discover in which portion of the shaft, maximum shear stress & angle of twi

Explain system and parting sand, Q. Explain System and Parting sand? S...

Q. Explain System and Parting sand? System Sand: In mechanized foundries, where machine moulding is employed a so called "system sand" is used to fill the whole flask. Since

Data and tasks - rough-cut capacity planning, Expected quarterly sales in Y...

Expected quarterly sales in Year 1 (vehicles) The work content of a single unit of each product in each process has been estimated at: Using MS-Excel, calculate the workloads

Bolter - thermodynamics, Bolter: ( k E 2  - kE 1) = 0, ( pE 2  - pE...

Bolter: ( k E 2  - kE 1) = 0, ( pE 2  - pE 1) = 0, w 1-2  = 0 Now,   q 1-2 = w 1-2  ( h 2  - h 1 ) + ( kE 2  - kE 1 ) + ( pE 2  - pE 1 ) q 1-2 =

Determine the deflection at free end, Determine the deflection at free end:...

Determine the deflection at free end: For the beam illustrated in Figure, determine the deflection at free end and the maximum deflection. Figure Solution R

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