The maximum Compressive Strain in concrete is taken as 0.0035 in beam while, it is 0.002 in column. Why is it lower in column ?


Print Friendly, PDF & Email
The maximum Compressive Strain in concrete is taken as 0.0035 in beam while, it is 0.002 in column. Why is it lower in column ?
5 (100%) 1 vote

Stress Strain Curve of concrete

​For explaining the answer, we have divided the concrete member in three types as follows;

.

Case I : Flexure member

Flexure member

In this case , If we increase the load ‘w’, at some point the strain ‘εc’ & stress ‘σcbc’ in the given beam will reach to 0.002 & 0.446fck respectively.

stress strain diagram

Now, if we further increase the load ‘w’, then further increment in ‘εc’ will occure without any increase in ‘σcbc’ .(please refer Stress-Strain curve for concrete for more details). And the extra stress will be taken up by the subsequent underlying fibres. Hence, at a certain depth, the underlying fibres would have reached the strain of 0.002 & the stress of 0.446fck.

stress strain curve

On further increase in the load, the ‘εc’ will ultimately reach to the value of 0.0035. Beyond this strain the concrete is believed to be fail. Subsequently once the extreme fibres fails, the cracks will develop in beam, further weakening the concrete & leading to the failure of structure.
Therefore, the IS code restricts the εc at 0.0035.

stress strain curve

.

Case 2: Compression member: a) only Axial load.

axial compression member

Now in this case, As we increase the axial load ‘w’, at some point the strain throughout the cross-section of column will reach the value 0.002. Now any further increase in load ‘w’ will lead to the sudden increase in strain beyond the value 0.002 (without any increase in thr stress). (refer stress-strain curve of the concrete given in IS 456) and the concrete will eventually fail. Hence, the code restricts the strain in the concrete as 0.002 and not 0.0035.

stress diagram

.

b) Axial load along with uni-axial Bending moment

stress strain diagram

In this case, the tode restricts the strain at the highly compressed extreme fibre in concrete ‘εc1’ at

εc1=0.0035−0.75εc2εc1=0.0035−0.75εc2

Where, εc2 is the strain at  least compressed extreme fibre.

stress strain diagram

If we put value of εc2 = 0,

then we get εc1 = 0.0035.

This is similar to strain distribution in the concrete in flexure member.

stress strain diagram

If we put the value of εc2 = 0.002, then we get εc1 = 0.002. This is similar to the strain distribution in the concrete in axially loaded compression member.

Strain diagram

.

Extra:

  • Test results shows that the stress in concrete peaks when the strain in the concrete is around 0.002. Whereas Beyond 0.002, the stress falls gradually.
  • Concrete fails in compression when strain in the concrete reaches at around 0.003.
  • Code generalises this behaviour in the stress-strain diagram for concrete & assumes that stress remains constant between the strain values of 0.002 and 0.0035.
  • Also, the codes restricts maximum strain in extreme fibres in compression at 0.0035.

.

DO COMMENTS TO ENCOURAGE AUTHORS…!!!

Udayram Patil

Udayram Patil

Udayram Patil is an enthusiastic graduate civil engineer with an eye for innovative & technical writing.His wish is to combine his knowledge and experience about his field, to deliver the best practical cum accurate information to his audience.
Udayram Patil

1 Comments

  • Rahul Mene (#)
    January 6th, 2017

    Such a good explanation…

Leave a Reply

Your email address will not be published.

error: Content is protected !! Download Pdf