How to calculate the standard deviation of concrete strength

The cement strength is 42.5, the sand ratio is 36, the maximum particle size of gravel is 3 1.5~40mm, and the cement surplus coefficient is 1. 1.

Calculate the theoretical mixture ratio of C25 concrete according to the known conditions;

Standard deviation of concrete strength C25-C35=5.0

Concrete mixing strength =25+ 1.64* standard deviation 5.0=33.2.

Regression coefficient; A b Look up the table according to the variety of gravel, gravel A = 0.46, and gravel B = 0.07.

1, calculate the water cement ratio according to the strength requirements;

Actual strength of cement =42.5* 1. 1=46.75.

Water cement ratio = 0.46 * 46.75/(33.2+0.46 * 0.07 * 46.75) = 0.62.

2. Check whether the water-cement ratio meets the durability allowable maximum water-cement ratio of 0.65, and calculate that the water-cement ratio of 0.62 is less than the specified value.

3. Determine the water consumption per cubic meter of concrete;

The slump is 35-50mm, the maximum particle size of crushed stone is 3 1.5-40 mm, and the water consumption is 175kg/m3.

4. Calculate the cement dosage per cubic meter of concrete;

Water consumption/water cement ratio = 175/0.62=282kg/m3.

Check whether the cement dosage meets the durability allowable minimum cement dosage of 260kg/m3, and calculate whether the cement dosage of 282kg/m3 exceeds the regulations.

5, choose sand ratio = 36%

6, calculate the dosage of sand and stone per cubic meter of concrete, according to the weight method;

Known water consumption per cubic meter of concrete = 175kg/m3, cement consumption =282kg/m3, sand ratio = 36%, assuming that the concrete mixture is 2400kg/m3.

282+G+S+ 175=2400

S/(G+S)=0.36

g+S = 2400-282- 175 = 1943kg/m3

S =(G+S)* 0.36 = 1943 * 0.36 = 699kg/m3

G =(G+S)-S = 1943-699 = 1244kg/m3

The theoretical mixture ratio calculated by gravimetric method is as follows:

Cement 282kg water 175kg sand 699kg gravel 1244kg.

Mixing ratio; 1:0.62:2.48:4.4 1

7, according to the design mixture ratio, do laboratory mixture ratio experiment adjustment, and get the laboratory mixture ratio;

8, conversion of construction mixture ratio, according to the water content of sand and stone in the construction site, get the final actual construction mixture ratio.