A concrete laboratory is batching concrete based on moisture and absorption capacities defined in terms of oven$-$dry condition. Also "batch", "stock", and "field" all refer to same moisture state $-$ which means the aggregates are in natural or stockpile conditions or $"$as obtained".

different from course notes $-$ where it is SSD based$)$

Derive the following two equations based on the definitions of $MC$ and $AC$ :

$W_{\text{b}\text{a}\text{t}\text{c}\text{h}}=(\frac{1+MC}{1+AC})$ eq$.1$

and correction for batch water content, $W_{\text{c}\text{o}\text{r}\text{r}}$ :

$W_{\text{c}\text{o}\text{r}\text{r}}=W_{SSD}(\frac{AC-MC}{1+AC})$

Using these equations, calculate the batch weights and water correction for sand and coarse aggregate and comment on total SSD weight of aggregate versus batch weight WSSD Sand