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

Cylinder head-basic components of engine , Cylinder Head: It is fitted at...

Cylinder Head: It is fitted at top of the cylinder block. It provides space for the arrangement of spark plug, combustion chamber, camshaft, cam chain, valves and intake and exha

Solved numarical, The following observations were made during a tensile tes...

The following observations were made during a tensile test on mild steel specimen 60 mm in diameter and X mm long. Elongation with 50 KN load (within the limit of proportionality)

Explain constant velocity joint attaching to spindle, Method:- Using the co...

Method:- Using the constant velocity joint attaching to spindle. U-joint is a joint used to attach two non parallel non intersecting shafts, and it can transfer power at angle

Four-stroke - single cylinder gasoline engine, A four-stroke, single cylind...

A four-stroke, single cylinder gasoline engine having a bore of 90 mm and stroke of 100 mm has a compression ratio 7. The relative efficiency is 55% when the shown specific fuel co

Manual engineering drawing , Manual Engineering Drawing: The physical o...

Manual Engineering Drawing: The physical object is to be drawn (Do not take photographs of the object or use it as a template that you trace with) in class as an isometric dra

Gathering lines, Gathering Lines: A gathering line, also called a lad...

Gathering Lines: A gathering line, also called a ladder track, is one into which a number of parallel tracks merge. This is shown in Figure. It is used in marshalling yards.

Arm programming, In order to get your first experience of ARM programming, ...

In order to get your first experience of ARM programming, this way you are familiar with the problem itself, its design, its flow of execution and you can use your own C code as ps

Plate clutch warpage-clutch slipping, Plate clutch warpage: Place plate cl...

Plate clutch warpage: Place plate clutch on surface plate and check for warpage. Ensure that0.20 mm feeler gauge does not slide freely.

Describe pendulum pump mechanism, Describe in detail the following mechanis...

Describe in detail the following mechanisms : (a) Pendulum Pump (b) Crank and slotted lever mechanism Explain in detail the following mechanisms : (a) Elliptical Tramme

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