Movement of wire at the signal box, Mechanical Engineering

Assignment Help:

Movement of wire at the signal box:

The wire working on railway signal is 5mm in diameter and 300m long. If movement at the signal end is to be 25cm, make calculations for movement which should be given to the end of wire at the signal box. Assume that the pull of 2500N on wire and take modulus of elasticity for wire material as 2 × 105  N/mm2.

Sol.: Given data:

P = 2500N

D = 5 mm

L = 300m = 300 × 1000 mm

Dm  = 25cm

E = 2 × 105 N/mm2.

We know that, σ = P/A

σ = P/ ( Π /4 × D2)

σ = 2500/ ( Π /4 × 52)

σ = 127.32 N/mm2.

e =   σ/E = 127.32/2 × 105

e = 0.0006366

As  e =   δL/L

δL = e.L = 0.0006366 × 300 × 1000 = 190.98mm = 19.098 cm

Total movement which is required to be given at the signal box end = 25 + 19.098 = 44.098 cm .......ANS


Related Discussions:- Movement of wire at the signal box

Beams, determine the shear force and bending moments of 4KN fprce

determine the shear force and bending moments of 4KN fprce

Magnitude of the resultant couple, Magnitude of the resultant couple: ...

Magnitude of the resultant couple: For non-parallel forces also the location of the line of action of resultant may be determined by utilizing R × d = ∑ M o . The magnitu

PLC problems, 3. How to illustrate the meaning of control system in control...

3. How to illustrate the meaning of control system in control and automation system? 4. How to illustrate the major role of CPU in a PLC and what is the major role of CPU? 5. How

Does the selected system meet the requirements, Does the selected system me...

Does the selected system meet the requirements of the application (building purging, make-up air, filtration, ventilation)? Is the system suitable for the intended building usag

Important terms related to boiler, IMPO R T AN T TERMS: Fi r e ...

IMPO R T AN T TERMS: Fi r e Box: Place where fuel is burnt. Grat e : The fuel is burnt on this. Baffles : Plates are used for directing the flow of flue gass

Determining the largest eigenvalue, The Power Method is a classic numerical...

The Power Method is a classic numerical algorithm for determining the largest eigenvalue and eigenvector associated with a matrix A. Write a matlab function that returns the larges

Scalar and vector quantities, Scalar and Vector quantities: A quantity...

Scalar and Vector quantities: A quantity is a scalar if it is completely defined by its magnitude alone. For example: Length, area, and time. While quantity is said to be vect

What is the chief advantage of CIDR over addressing scheme, What is the chi...

What is the chief advantage of CIDR over the original classful addressing scheme? CIDR stands for Classless Inter-Domain Routing is a new addressing scheme for the Internet, th

Illustrate the gks system, Illustrate the GKS system The user communica...

Illustrate the GKS system The user communicates with the graphic system via his program. The GKS system is embedded in the user program by an application-oriented layer and a l

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