Transactions of the American Society of Civil Engineers, Vol. LXX, Dec. 1910: Locomotive Performance on Grades of Various Lengths, Paper No. 1172

''Transactions of the American Society of Civil Engineers, Vol. LXX, Dec. 1910'' is a scientific publication authored by Beverly S. Randolph, a member of the American Society of Civil Engineers. Written in the early 20th century, this volume features articles that delve into various engineering studies, with a particular focus on locomotive performance on gradients of different lengths. The likely topic of the book centers around optimizing locomotive efficiency in relation to track gradients and operational economies. The primary paper within this volume, authored by Randolph, investigates how the resistance faced by locomotives varies with the length and steepness of the grades they encounter. By analyzing data from various railroads, Randolph establishes that the percentage of a locomotive’s weight that contributes to tractive effort decreases as the length of the grade increases—implying the concept of locomotives ''getting tired'' on longer inclines. The paper includes comparative tables and figures that demonstrate this relationship, revealing insights into the efficiency of steam production and how momentum plays a critical role in performance. Additionally, discussions shared by other engineers critique and support Randolph's findings, further enriching the understanding of locomotive operation under various conditions.