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

Explain about surface preparation, Q. Explain about Surface Preparation? ...

Q. Explain about Surface Preparation? All oil, grease, salts, and any other contaminants detrimental to the formation of a good coating bond or coating quality must be removed

Elastomers, define elastomer.explain in details?

define elastomer.explain in details?

Tank drainage-apparent viscosity-laminar flow, Tank Drainage A large op...

Tank Drainage A large open vertical tank has three small, smooth, well-rounded orifices spaced equidistantly at ¼ h , ½ h , ¾ h up from the bottom of the tank (Fig. Q1). Water

Explain classification of welding processes, Classification Of Welding Proc...

Classification Of Welding Processes The classificated depending upon the nature of heat source and its movement resulting in spot, seam or zonal welds; or on the extent of heat

Find minimum time for a vehicle to go from 0 to 60 mph, For a few of the fo...

For a few of the following problems the constant acceleration is due to gravity and will be notated as a = g = 32 ft/sec 2 . 'g' perhaps positive or negative depending on the conte

Corporate level - safety organization, Corporate level - Safety Organizatio...

Corporate level - Safety Organization This is a corporate level and there should be a company director which is engaged in formulating safety policies at corporate level. The

General resource models, General Resource Models In  computer  control...

General Resource Models In  computer  controlled scheduling,    material,  machine handling  equipment,  tooling  and  buffer  space  should  be comprised. The explicit consid

Selection of electrodes and filler metals, Q. Selection of Electrodes and F...

Q. Selection of Electrodes and Filler Metals? Only low hydrogen electrodes shall be used for SMAW of all carbon and low alloy steels, except for root pass welding of single wel

Evaluation of machine design, With the help of diagram , depict the evaluat...

With the help of diagram , depict the evaluation of Machine Design. Discuss in detail Technical feasibility, finanacial and economic feasibility, social and environmental feasib

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