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

Calculate the net positive suction head, Calculate the Net Positive Suction...

Calculate the Net Positive Suction Head A pump station has been designed to lift water out of a 6 metre deep pit (vented to atmosphere) via a centrifugal pump mounted at groun

Balancing, A shaft carries three pulleys A,B and C. the pulleys B and C bei...

A shaft carries three pulleys A,B and C. the pulleys B and C being 1.2m and 2.1m from A. the pulleys are out of balance to the extent of 0.03, 0.05 and 0.04kg.m respectively and ar

Ed, how to draw projections of planes

how to draw projections of planes

Calculate the safe load using eulers formula, A 1.5m long column has circul...

A 1.5m long column has circular cross-section of 5cm diameter. One of the end of the column is fixed in the position and direction and other end is free. Taking factor of safety as

Assignment, Which chromium plating is more eco-friendly - trivalent or Hexa...

Which chromium plating is more eco-friendly - trivalent or Hexavalent? Justify your answer in the light of environmental issues caused.

Measurement of brake power by prony brake dynamiter, a) Illustrate with nea...

a) Illustrate with neat and clean diagram the measurement of brake power by prony brake Dynamiter OR Belt transmission type Dynamiter. b) A torsion dynamometer is fixed to a pro

Specific properties of a system, Specific Properties of a System The ex...

Specific Properties of a System The extensive properties while estimated on the unit mass basis result in intensive property that is as well known as specific property. For exa

Feed speed-spindle rpm-cutting time material removal rate, A hole of 25 mm ...

A hole of 25 mm diameter and 62.5 mm depth is to be drilled. The suggested feed is 1.25 mm/rev.and the cutting speed is 60 m/min. Assume the clearance height is 5 mm. Determine: f

Tutors, What is the procedure of becoming tutor in your program?

What is the procedure of becoming tutor in your program?

Find out load carried and compressive stress - steel bar, Find out load car...

Find out load carried and compressive stress: The concrete column 300mm x 300mm in section can be reinforced by 10 longitudinal 20mm diameter round steel bars. The column car

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