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| Experimental study on size effect of probability distribution of compressive strength of red sandstone#br# |
| ZHAI Youcheng |
| (College of Civil Engineering and Architecture，Quzhou University，Quzhou，Zhejiang 324000，China) |
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Abstract The size effect on the probability distribution of rock compressive strength is very important for accurately determining its probability distribution and obtaining the correct reliability calculation results. The compressive tests were carried out on cubic red sandstone blocks with side lengths of 80，120 and 160 mm respectively. The results show that：(1) the probability distribution type of peak compressive strength of rock obeys normal distribution and will not change with the change of size. (2) The point estimation，interval estimation and disproof method show that both average and standard deviation of rock compressive strength have obvious size effect. When the size increases from 80 to 160 mm，the average decreases from 56.64 to 51.14 MPa，the standard deviation decreases from 14.33 to 3.96 MPa. The standard deviation decreases more significantly. (3) Taking the plinth with size of 160 mm as an example，the reliability calculation results are greatly influenced by the probability distribution under different sizes. The failure probability obtained by the probability distribution under 80 mm size is 11.00%，and the failure probability obtained by the probability distribution under 160 mm size is 0.12%. The former result is 91.67 times that of the latter. In addition，if only the size effect of the average value is considered and the size effect of the standard deviation is ignored，it will be realistic Therefore，The size effect of probability distribution of rock compressive strength in practical engineering should be paid attention.
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2022, Vol. 41 
