Find out bulk modulus, Mechanical Engineering

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

Posted Date: 1/21/2013 2:41:05 AM | Location : United States







Related Discussions:- Find out bulk modulus, Assignment Help, Ask Question on Find out bulk modulus, Get Answer, Expert's Help, Find out bulk modulus Discussions

Write discussion on Find out bulk modulus
Your posts are moderated
Related Questions
the movability of 3 bar mechanism is zero then how can we comment on instantaneous centre of it?


Consider the rocket on a test stand as described in Chapter 3 of the lecture notes. The nose of the rocket is fixed. The rocket is of length L, constant EA and constant m, mass per

(a) Write short note on steady flow energy equation and its applications. (b) A heat engine operating between two reservoirs at 1000k and 300k is used to drive a heat pump which

Dynamically Equivalent Link: this is link that has point masses at two points such that (a) overall mass is same, (b) centre of gravity is at the similar position, and (c) mass m

Bund / dike capacity is typically covered by local codes and regulations, however some general principles for liquid storage compounds are: • The net capacity of a bunded / dik

It is estimated that the average number of surface defects in 20 square meter of paper produced by process is 3.what is probability of finding number more than 2 defects in 40 squa

A nozzle of 50 mm. dia. delivers a stream of water that strikes a flat plate which is held normal to the axis of stream. If the issuing jet has a velocity of 15 m/sec., Determin

Q. Show the support locations for truckable skid? Unless instructed otherwise by Engineer, support locations for truckable skid shall be determined by skid Vendor. Support loca

Evaluate the least pull, through the center of wheel: A uniform wheel having 600 mm diameter, weighing 5KN rests against rigid rectangular block of 150mm height as shown in t