Find out bulk modulus, Mechanical Engineering

Assignment Help:

Find out bulk modulus:

A steel bar of 25 mm diameter was tested on a gauge length of 250 cm in tension and in torsion. A tensile load of 50 kN generated an extension of 0.13 mm and a torque of 200 N-m produced in twist, Find out :

(a) the modulus of elasticity (b) the modulus of rigidity (c) The Poisson's ratio (d) the bulk modulus

Solution

d = 25 mm = 0.025 m

A = (π/4 ) d 2  = 4.9 × 10- 4 m2

J =  (π /32) d 4  = 3.8 × 10- 8 m4

l = 25 cm = 0.25 m

P = 50 kN = 50 × 103 N

Δ l = 0.13 mm = 0.13 × 10- 3 m

T = 200 N-m

θ = 1o = 0.017 radians

Δ l =  Pl  /A E

 0.13 × 10- 3 = (50 × 10 × 0.15)/ (4.9 × 10- 4 × E)

∴          E = 2 × 1011 N/m2 = 2 × 105 N/mm2

                  T/ J = G θ/ l

200 / (3.8 × 10- 8 = (G × 0.017 )/ 0.25

G = 0.77 × 1011 N/m2  = 0.8 × 105 N/mm2

E = 2G (1 + μ)

⇒         2 × 105  =2 × 0.8 × 105 (1 + μ)

∴          μ= 0.25

E = 3K (1 - 2μ)

2 × 105  = 3 × K (1 - 2 × 0.25)

K = 1.33 × 105 N/mm2


Related Discussions:- Find out bulk modulus

Inspection and testing for coating application, Q. Inspection and testing f...

Q. Inspection and testing for coating application? The Applicator shall perform all inspection and testing necessary to assure that the surface preparation and coating applicat

POLITICS, WHO IS HOME MINISTER OF INDIA OF 2014?

WHO IS HOME MINISTER OF INDIA OF 2014?

What is a uniformly distributed load, A UDL or uniformly distributed load i...

A UDL or uniformly distributed load is a load, which is reach over a beam in such a way that every unit length is laded to the similar extent.

Determine magnitude and direction of the resultant force, Determine magnitu...

Determine magnitude and direction of the resultant force: A system of forces is acting at the corner of a rectangular block as shown in the figure. Determine magnitude and di

QFD chart and engineering specifications, Deliverables: A QFD chart, sh...

Deliverables: A QFD chart, showing the relationships between the customer requirements and the engineering specifications. (Refer to the Ullman QFD chart posted on My

Equipment for resistance welding-single phase vs three phase, EQUIPMENT FOR...

EQUIPMENT FOR RESISTANCE WELDING-Single phase vs three phase The resistance welding machines can be connected either across 440 V mains (across two lines) or three phase mains.

Describe law of gearing, Determine an expression for the minimum number of ...

Determine an expression for the minimum number of teeth on a pinion which is in mesh with a rack in order to avoid interference and show the minimum number of teeth needed on a pin

Assets markets and the lm curve, Assets Markets and the LM Curve The as...

Assets Markets and the LM Curve The assets markets are the markets in which money, bonds, stocks, houses and other forms of wealth are traded. There are a large variety of asse

Arc welding power sources-arc characteristics, ARC CHARACTERISTICS In ...

ARC CHARACTERISTICS In order to understand the different output characteristics that are required by the welding power source it is necessary to understand the load which is f

What are the limitations of reversed carnot cycle, (a) What are the limitat...

(a) What are the limitations of Reversed Carnot Cycle to be used in practice for refrigeration purposes? Also derive the mathematical expression of COP for reversed carnot cycle.

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