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

Can you explain investment casting, Q. Can you explain Investment casting? ...

Q. Can you explain Investment casting? -Investment casting produces very high surface quality and dimensional accuracy. -Investment casting is commonly used for precision eq

Simple rules-priority rules-conventional priority rules, Simple Rules F...

Simple Rules FIFO (first in first out) PN j = t aj SPT (shortest processing time) PN j = o j ODD (earliest operation due dates) PN j = t dj EDD (earliest job due

What are design aspects of pelton wheel turbin, Describe with suitable diag...

Describe with suitable diagram the governing of impulse turbines. What are design aspects of Pelton wheel turbine and also explain all the terms. Derive mathematical formula

Classification of arc welding power sources, CLASSIFICATION OF ARC WELDING ...

CLASSIFICATION OF ARC WELDING POWER SOURCES As we have know, different  welding processes require different operating conditions & the power sources are also necessarily differen

Explain the uses of pier and well foundations, Explain the uses of Pier and...

Explain the uses of Pier and Well Foundations Well foundations are used to transmit large loads from piers of bridges and other marine structures. These are constructions carr

Automobiles industry growth , AUTOMOBILES INDUSTRY GROWTH: The Indian auto...

AUTOMOBILES INDUSTRY GROWTH: The Indian automobile industry has a significant labour cost advantage. India's automotive sector has the world's second largest pool of skilled labou

Resolving all of the forces normal to the inclined plane, Resolving all of ...

Resolving all of the forces normal to the inclined plane: A body weighing 500 N is resting on an inclined plane making an angle of 30 o with the horizontal. The coefficient o

Find out horizontal and vertical components of hinge force, Find out horizo...

Find out horizontal and vertical components of hinge force: The frame shown in Figure is supported by a hinge at E and a roller support at D. Find out horizontal and vertical

Explain working of steam drum, Q.Explain working of Steam Drum? Total so...

Q.Explain working of Steam Drum? Total solids concentration in the steam at steam manifold outlet shall not exceed 0.5 ppm during steady operation at MCR.  Fabricator must indic

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