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

Cell covers--battery components , Cell Covers: Each cell is covered from ...

Cell Covers: Each cell is covered from the top of the cell covers and the terminals projected from the cell covers. The terminals are arranged alternatively in a line.

Reduce system to a single force and couple, Reduce system to a single force...

Reduce system to a single force and couple: Q: A system of parallel forces is acting on rigid bar as shown in the figure given below. Reduce this system to  a single force

Find cutting speed for prolonging tool life , Find Cutting Speed for Prolon...

Find Cutting Speed for Prolonging Tool Life A form tool machining at 24 m/minute requires re-sharpening after 30 minutes. What should be the cutting speed for prolonging tool

Subsea Valves, Read two documents that will provide and answer the followin...

Read two documents that will provide and answer the following questions: 1) You will note from reading the above referenced specifications that fewer valve types are recommended fo

Safe access and location of buildings in plant design, The following items ...

The following items should be considered regarding the safe access and location of buildings: • The fire fighting pump house is usually located in a non-hazardous OSBL location

Explain side cutting edge angle, Explain Side Cutting Edge Angle It is ...

Explain Side Cutting Edge Angle It is angle between the side cutting edge and the longitudinal axis of the tool. It avoids formation of build up edge, controls the direction of

Wet saturated steam - thermodynamics, Wet saturated steam -  thermodynamic...

Wet saturated steam -  thermodynamics: we t saturated steam Wet steam is a 2-phase mixture comprising of boiling water particles and dry steam in equilibrium state. Its for

State about the caisson foundations, Caisson foundations Caisson founda...

Caisson foundations Caisson foundations are similar to wells, but are much large in size. They are of different types, closed end, open ended and of pneumatic type. Figure show

Types of culverts - causeway and bridges, Types of Culverts: Culverts ...

Types of Culverts: Culverts are constructed with various materials and to different designs. The popular forms are : (a) Temporary stone scuppers (b) Stone slab culverts

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