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

Occupational health problems, Occupational Health Problems Various he...

Occupational Health Problems Various health problems have been found to be rooted in type of work, equipment and Workplace. It was eighteenth century while definite observati

Custom-designed lap joint flanges, Custom-Designed Lap Joint Flanges Pr...

Custom-Designed Lap Joint Flanges Practices relative to lap-joint flanges, that experience has shown will result in a level of damage tolerance, leak-tightness integrity, and g

Taking care of occupational safety, Taking Care of Occupational Safety ...

Taking Care of Occupational Safety The most important development in occupational safety and health has been the introduction of legislative measures adopted by various gover

Method of construction - plant layout, Q. Method of construction - Plant la...

Q. Method of construction - Plant layout? Plant layout is influenced by the intended method of construction, whether the plant is being constructed on-site, or whether modules

Motorcycle repairing, In MOTORCYCLE REPAIRING we have gone through various ...

In MOTORCYCLE REPAIRING we have gone through various complaints related to engine starting, problem related to gear, clutch, etc. and their possible reasons of trouble making. The

Stress concentration factor, 1. Write a short note (not more than half A4 p...

1. Write a short note (not more than half A4 page) on your understanding on St. Venant's Principal for your engineering design analysis. 2.  Estimate the " Stress Concentration

Arc welding power sources classify-output characterstics, ARC WELDING POWER...

ARC WELDING POWER SOURCES CLASSIFICATION:OUTPUT CHARACTERSTICS The output characteristic of welding power source is a funct ional relationship between output voltage and load

What is stormwater treatment, Q. What is Stormwater Treatment? Normally...

Q. What is Stormwater Treatment? Normally, stormwater run-off from process areas needs to be collected and treated before being discharged to land or water. Often, large aerobi

Carbon and low alloy steels for welding, Q. Carbon and Low Alloy Steels for...

Q. Carbon and Low Alloy Steels for Welding? All welding of pressure retaining equipment must be completed as per the respective code, typically ANSI/ASME B31.1 or Section VIII

Impact testing, Charpy impact tests, when required shall comply. Impact ...

Charpy impact tests, when required shall comply. Impact tests shall be conducted at the minimum design metal temperature or at a lower temperature and shall meet or exceed energ

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