Consider a long cylindrical solid rod – total length L – mass density p; – radius R1 = R2 = R; - suspended from the top and hung freely downward along the (-1)Ź direction;B - subjected to gravitational pull from the ground in the (-1)Ź direction. R2 Z = h R, Z = 0 a) Calculate the longitudinal stress o within the rod as a function of h; b) Repeat the calculation if R1 = 0 and R2 = R (i.e., when the cylindrical rod turns into a cone); c) Based on your answers to a) and b), provide some reasoning as to why a space elevator would not work [hint: think about the rod as the load bearing element of the space elevator].

Consider a long cylindrical solid rod – total length L – mass density p; – radius R1 = R2 = R; - suspended from the top and hung freely downward along the (-1)Ź direction;B - subjected to gravitational pull from the ground in the (-1)Ź direction. R2 Z = h R, Z = 0 a) Calculate the longitudinal stress o within the rod as a function of h; b) Repeat the calculation if R1 = 0 and R2 = R (i.e., when the cylindrical rod turns into a cone); c) Based on your answers to a) and b), provide some reasoning as to why a space elevator would not work [hint: think about the rod as the load bearing element of the space elevator].

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.6.9P: A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial...

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