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

Describe poissons ratio, (i) Describe Poisson's Ratio. (ii) A circular r...

(i) Describe Poisson's Ratio. (ii) A circular rod of 100mm diameter and 500 mm length is subjected to a tensile force of 1000 KN. Calculate the modulus of bulk modulus, rigidity

Define the gear hobbing, Define the Gear Hobbing This is the most produ...

Define the Gear Hobbing This is the most productive of all the gear production processes. However, it can only be used for producing spur gears and worn gears. It cannot be use

What is hybrid sweep, Hybrid Sweep It combines linear and/or non-linear...

Hybrid Sweep It combines linear and/or non-linear sweep via set operations. In this case, two point sets are swept in two different directions and the two resulting swept volum

Brass is an alloy of which materials, Brass is an alloy of (A) Copper ...

Brass is an alloy of (A) Copper and zinc.  (B) Copper and iron. (C) copper and Aluminium.  (D) Copper and tin. Ans: Brass is an alloy of copper and zin

Explain construction and working of rope brake dynamometer, Explain constru...

Explain construction and working of Rope Brake Dynamometer? Determine Power also ?

Explain the non-linear sweep, Non-linear Sweep In non-linear sweep, the...

Non-linear Sweep In non-linear sweep, the path is a curve described by a higher-order equation (quadratic, cubic or higher)

Explain concepty of worktable in radial drilling machine, Explain concepty ...

Explain concepty of Worktable in radial drilling machine The worktable is supported on an arm mounted to the column. The worktable can be adjusted vertically to accommodate dis

Determine the slopes at free end - cantilever beam, Determine the slopes at...

Determine the slopes at free end - cantilever beam: A cantilever beam of length l carries a point load W at a distance l  /4 from free end. Determine the slopes at free end

The percentage elongation of the metal-stress , Question 1 A metal rod h...

Question 1 A metal rod has a diameter of 8.74 mm and supports a load of 24.6 kN. Calculate the value of true stress on the rod. The diameter was measured with the load already a

Limitations of gas tungsten arc welding (gtaw), LIMITATIONS OF GAS TUNGSTEN...

LIMITATIONS OF GAS TUNGSTEN ARC WELDING (GTAW) It Produces lower deposition rates than consumable electrode arc welding processes. It Requires slightly more skill as comp

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