纖維混凝土或纖維水泥砂漿運用於土木建築工程上已有多年歷史，其主要目的乃用以控制裂縫或減少乾縮，近幾年台灣連續遭受921及331等大地震侵襲，造成房屋橋樑倒塌及人員死亡，此時纖維混凝土對增加材料韌性及結構耐震能力，才獲得各界重視及討論。一般利用理論模式分析纖維水泥砂漿，主要著重於試體承受拉力產生裂縫後之力學行為，發現其影響因素包括纖維破壞、拉脫及纖維抗拉強度之離散性等。纖維材料因製造過程中無法完全控制品質，使得纖維直徑出現離散現象，其分佈曲線通常遵循常態分佈，此種纖維直徑離散所導致纖維強度之差異，可能對既有理論分析中有關纖維破壞機制、韌性甚至纖維水泥砂漿整體力學行為產生誤差。因此，本研究首先對纖維水泥砂漿之理論分析模式做一修正，加入纖維直徑變化的影響。再者，纖維直徑變化亦可能影響傳統求取偉布模數方法之適用性，本研究第二部份實驗量測纖維直徑之變化，進而印證纖維直徑離散效應之理論，再利用纖維抗拉實驗求取纖維真實偉布模數，以比較其與傳統方式所得結果之差異。最後，進行纖維水泥砂漿試體直接抗拉試驗，實驗結果與理論分析模式比較，並探討理論模式之精確性，以作為纖維水泥砂漿力學行為分析與實務設計之參考。

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