台灣山坡地的開發愈來愈密集，山坡地的大地材料除了表土外，則多為岩石。然而若無法掌握岩石的一些基本工程特性，則極易發生工程災害。單壓強度 (qu) 一直是岩石的重要力學特性指標，但單軸壓縮試驗費時、昂貴且不利於現地施作；因此若能有一套較方便、簡單、經濟的試驗方法來評估單壓強度，則能對山區的工程的初期規劃與力學設計有實質的幫助。 本論文主旨為以施密特錘回彈數 (Rn)、點荷重指數 (Is)、超音波壓力波速 (Vp) 及消散耐久指數 (Id) 來探討與單壓強度的關係。由於不同的區域、不同的岩樣，其當中的關係也會有所不同，因此本論文選定北橫公路復興至巴陵段為研究區域；除了無法決定施測面之消散耐久試驗外，其餘試驗皆為垂直層面施測，以暫時避免探討岩石異向性的影響。並以最小平方原理來迴歸各試驗數值對單壓強度的關係，期望未來逐漸建立台灣地區各試驗數值對單壓強度的預估模式。 研究結果顯示先依漸新世、中新世地層分類後，再將各試驗值對單壓強度作迴歸分析，可獲得較高的相關係數 (R2)。在施密特錘回彈值—單壓強度的關係中，二者存在著指數上的關係；在點荷重指數—單壓強度的關係當中，點荷重指數有相當明顯的線性關係可以來推估單壓強度；在超音波壓力波速—單壓強度的關係上，二者有乘冪的非線性關係。在消散耐久指數—單壓強度的關係上雖可求出一線性關係，但相關係數卻偏低。以上針對研究區所得之迴歸關係皆與前人研究者類似，但迴歸係數卻有相當之不同，此事實反應出相異地區性地質作用之貢獻。 Because the reclamation of slope-lands in Taiwan is becoming more intense, the opportunity of dealing with rock media is considerably increased. However, disability of capturing the crucial rock features always leads to some potential engineering disasters during or after construction. The uniaxial compressive strength qu is a very important property for rocks, but it is not only time-consuming and expensive to attain but also difficult for field measuring. Therefore, establishing a predictive model of qu by other convenient, simple and economical tests is definitely beneficial for the preliminary planning and mechanical design of various constructions in mountainous regions. The objective of this thesis is to study the relationships among the Schmidt rebound value (Rn), point load index (Is), ultra-sound compressive wave velocity (Vp), slaking durability index (Id), and the target factor qu. Because such relationships may vary with rock formations in different regions, the area between Fu-hsin and Ba-lin along the Northern Cross-Island Road was selected for investigation. To avoid the contribution of in-situ rock anisotropy, all measurements were applied in the direction normal to major the bedding plane (except the slaking durability test without a sense of application direction). The least square principle was used to determine the regression relation between each type of measurement and qu. It is hoped that the similar work be extended to the other regions of Taiwan. It is found that a better regression result with a higher value of the square of correlation coefficient (R2) was achieved after classifying rock specimens into Oligocence and Miocence ones. qu was observed to be in an exponential relationship of Rn; qu varied remarkably linearly with Is; qu related with Vp in a power law; R2 is greater than 0.95 for all the above three cases. Although there existed a rough linear relationship Id between and qu, the corresponding R2 value was low. All the observed regression relationships for the research area match those described in literature, but the regression coefficients were different, reflecting the contribution of local geological processes.