# Loading Rate and Strength of Concrete

*and*

**compressive strength***. In both cases, load is applied on*

**flexure strength***at certain rate and applied until failure occurs. The range of usual speeds that are applied has significant effect on apparent strength of specimen.*

**concrete specimen**At first we will discuss about compressive strength; applying compression loading over a (30 ~ 240) min period yield failure 84% to 88% of ultimate strength derived by applying loading rate 30 psi/s (0.2 MPa/s, approximately). Depending on variation in loading rate concrete may even withstand stress as low as 70% of strength derived by loading rate of 30 psi/s (0.2 MPa/s).

Above Figure shows variation of strength with rate of applying compressive strength over a wide range of 0.1 psi/s to 10^{7} psi/s [plot is SI unit]. It is interesting to notice that with this range apparent strength becomes double.

Now we are discussing about loading rate; does concrete member may be subjected to such rate loading? Raphael’s (1984) study on concrete was applied in * dam*; he suggested that increasing rate of compression loading by 3 orders will produced an increase in strength by around 30% which resembles to earthquake loading.

Practical loading rate on compression specimen lies between 10 ~ 100 psi/s [0.07 ~ 0.7 MPa/s]; in this range strength may varies from only (97 ~ 103) % of strength yielded by load rate of 30 psi/s.

Standard rate of loading:

if test results of two specimens have to be compared, we have to test both specimens under standard rate of loading.

**ASTM **

ASTM recommendation-the loading rate for compression test specimens according to ASTM C39 is (20~50) psi/s [ i.e. 0.14~0.34 MPa/s]; but up to first half higher loading rate may be maintained.

**British Standard**

According to BS 1881: Part 116 a loading rate of (30~60) psi/s [0.2~0.4 MPa/s] is standard and has to be kept constant throughout the test.

**Flexure strength:**

Identical effect of loading rate is also observed in flexure strength. Increase in speed of loading in outer-most fiber of beam to be examined from (0.3 ~19) psi/s [2~130 KPa/s] yield increase in modulus of rupture by approximately 15%.

Modulus of rupture of concrete increase linearly with logarithm of rate of stress application on specimen, but a deviation is observed at very high rate; at that stage rate of strength increase is observed even becomes greater as shown in above figure as that for compressive strength.At loading rate of 24700 psi/s (170 MPa/s), the modulus of rupture will be (40~60) percent more than at 3.90 psi/s (27 KPa/s).

**Standard rate of loading:**

**ASTM:**

According to ASTM C78, rate of stress increase in outermost fiber of test beam in flexure should be (2~3) psi/s [15~20 KPa/s].

**British standard:**

According to BS 1881: Part 118, this rate should be (3~14) psi/s [20~100 KPa/s].

After this long discussion about strength, lets learn about influence of strain; here we will discuss about tensile strain capacity. When mass concrete is of our interest, we have to know about this parameter as it control cracking in such concrete.Tensile strain capacity depends on rate of stress increase; McDonald and Liu found that when loading rate is slow say 25 psi/week (0.17 MPa/week) strain capacity is found (1.1~2.1) more than that at loading rate of 0.7 psi/s [5 KPa/s].

Such increase is possibly due to creep and some comments about this are

• Varies with modulus of elasticity of concrete, increase is observed greater when modulus of elasticity is less.

• Varies with flexural strength; this increase is higher when higher strength of concrete is used

Regarding compressive strain capacity, Dilger et al. was reported that when strain is increased at slow rate, compressive strain capacity is increased.

**Comparison between effects of strain rates: **