Chapter 1: Booms and Trusses

Thomas W. Murphey ^[*]

Space Vehicles Directorate, U.S. Air Force Research Laboratory, Kirtland Air Force Base, New Mexico

This material is a work of the U.S. Government and is not subject to copyright protection in the United States.

Nomenclature

A = cross-section area, m ²
a = straightness imperfection amplitude, m
c = scaling parameter
d = diameter, m
E = Young s modulus, N/m ²
f = frequency, Hz
G = shear modulus, N/m ²
h = width, m
I = cross-section moment of inertia, m ⁴
J = cross-section polar moment of inertia, m ⁴
L = column length, m
l = element length, m
M = bending moment, Nm
m = mass, kg
n = number of longerons
P = axial load, N
R = radius, m
r = cross-section radius of gyration, m
S = element slenderness ratio (defined as the ratio of element length to radius of gyration)
T = torsion load, Nm
t = thickness, m
V = shear load, N
w = mass per length, kg/m
? = number of diagonals per truss face
? = fraction of material acting towards stiffness in axial direction
? = strain
= shell arc angle, rad
? = ratio of tape-spring radius to thickness and ratio of hinge length to rod length
? = curvature, 1/m
?

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