Mechanical Engineering - Strength of Materials - Discussion

4. 

Euler's formula holds good only for

[A]. short columns
[B]. long columns
[C]. both short and long columns
[D]. weak columns

Answer: Option B

Explanation:

No answer description available for this question.

K.Aravind said: (Jun 7, 2013)  
Euler has formulated the formula for those columns which fail by both crushing as well as buckling. But short columns fail only by crushing so only long columns obey eulers formula.

Chetan said: (Jul 30, 2013)  
What is the application of euler formula over beams and what is its equation?

Ashutosh said: (Aug 10, 2013)  
What's called buckling?

Sachin said: (Aug 14, 2013)  
Euler's formula ie critical stress is inversely proportional to length of column. Hence larger the length lesser will be the defined critical stress. Also applicable only for columns having slenderness ratio (l/k) greater than 80.

Vijay said: (Aug 31, 2013)  
What is slenderness ratio?

Dev said: (Sep 8, 2013)  
The ratio of effective length to radius of gyration.

Jammai.Bpl said: (Oct 23, 2013)  
What is difference between crushing and buckling ?

Md Sajjad Hussain said: (Feb 2, 2014)  
Crushing means failure occurs due to sudden loads while buckling is lateral deflections caused in long columns.

Ramgulam Kumar said: (Feb 23, 2014)  
What is Euler's formula?

Pravukalyan said: (Mar 20, 2014)  
Euler's formula i.e. critical stress is inversely proportional to length of column. Hence larger the length lesser will be the defined critical stress.

Sahadev said: (Mar 27, 2014)  
In Which application Euler's formula applied?

Pradeep Sai Siva Aremanda said: (Mar 29, 2014)  
Euler's formulae is meant to calculate critical load(the load at which column bends(buckling)) of long column's(only).

Euler's formulae for critical load is = ((pi)^2)EI/(le)^2.

Where 'le' is equivalent length based on boundary conditions of column
IF both ends of column are hinged le=l.
fixed le=l/2.

If one is fixed and other end is free then le=2l.
If one end is fixed other end is hinged then le=l/(2)^1/2.

Sandip Ray said: (Jun 21, 2014)  
Slenderness ratio = L/K.

L = Effective length.
k = radius of gyration.

Santhosh said: (Jul 24, 2014)  
Tell me Eulers formula?

Akshay said: (Aug 15, 2014)  
What's effective length and radius of gyration as in literally what does it signify?

Gopichandu said: (Sep 10, 2014)  
Euler's formula is mainly applied in the long pumps for fluid.

Euler's formula in fluid mechanics and hydraulic mechanics.

Sanjay said: (Dec 6, 2014)  
What is the radius of gyration? Please tell me.

Abhisek Dubey said: (Dec 21, 2014)  
Radius of gyration we can define the square root of mass moment of inertia and mass of the body.

Cheeran said: (Jan 30, 2015)  
Euler has given formula for buckling load alone, so in case of short column buckling failure is not applicable. Hence it suits only long columns.

Avi said: (Mar 15, 2015)  
What is strut?

Gaurav Verma said: (Apr 11, 2015)  
Euler load for short column tends to infinite.

So rankine load = crushing load.

Sourbh said: (Jul 4, 2015)  
Which formula is then be used for short columns?

Sreenath said: (Jul 30, 2015)  
Rankin's formula.

Prasanna said: (Sep 3, 2015)  
What is Rankines formula?

Ashish said: (Oct 19, 2015)  
Strut: Inclined member of structure which carries an axial compressive load.

Rajan Singh said: (Jan 5, 2016)  
Any machine member, subjected to the axial compressive loading is called a strut and the vertical strut is called column.

Civilian said: (Jan 8, 2016)  
How to distinguish Euler's formula and Rankine's formula?

Manish said: (Apr 11, 2016)  
What are the assumptions of Euler's theory?

Prashant said: (Jul 11, 2016)  
Euler's formula is used for long column only and Rankine's formula is used for both column wheater they are short or long.

Sriragavan said: (Jul 15, 2016)  
What are the assumptions of Euler's theory?

S.Hari Hara Krishna said: (Aug 14, 2016)  
What is meant by critical stress?

Bhimagouda said: (Oct 21, 2016)  
What is the relation of Euler's formula with the strength of materials?

Ganesh Appu said: (Oct 22, 2016)  
@Hari Hara Krishna.

Critical stress is the ratio of critical load and area. Critical load is the load at which the buckling of the column is initiated.

Prem Singh said: (Nov 11, 2016)  
What is mean by L effective?

Korra Naresh said: (Dec 17, 2016)  
The assumption of Euler's theory.

1. The column is initially straight.

2. The cross section of the column is uniform.

3. The length of the column is large while comparing to its lateral dimension.

4. Shortening of a column is neglected.

5. The material of column is homogeneous and isotropic and obeys Hooks law.

Satish said: (Jan 16, 2017)  
What's the significance of radius of gyration in l/k?

Vicky said: (Jan 26, 2017)  
It is called a section modulus.

Sozharajan said: (Mar 25, 2017)  
Length of the column is greater than 30 times its diameter is called long column, its fail only due to buckling but not crushing. Euler's formula only applicable for bukling si lit applicable for long column, if the length of column less than, 8times of its diameter is called short column, it will be subjected to crushing and buckling. Rankine formula suitable for this.

Pankaj Kaundal said: (Mar 28, 2017)  
For long column, the value of buckling load is Crushing load.

Narayana H said: (May 28, 2017)  
Slenderness ratio is the ratio of effective length to least radius of gyration.
Least radius of gyration is from,
I = Ak^2.

Where, I is least moment of inertia I.e., minimum of Ixx or Iyy.

Srikanth said: (Jun 4, 2017)  
What is buckling factor?

Madhuri said: (Aug 5, 2017)  
According to Euler's theory on which factor strength of column Is depend?

Soumali said: (Jun 13, 2018)  
Why Euler's formula is not applicable for short column? Please tell me.

Tegire said: (Jul 27, 2018)  
In order to make the calculation of stresses due to torsion easy, why do we have to make the assumption that plane sections plane? Please clear me.

Rajkotha said: (Apr 12, 2019)  
Euler's for long columns.

Rankines for both short and long columns.

Paatel said: (Feb 15, 2020)  
Euler's formula gives the relation between bending and crushing when short columns the bending stress is low as compared to crushing stress. In the long column, the bending and crushing are relatively equal to each other.

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