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THE ANALYSIS OF RING SPACE TRUSSES AS CIRCULAR RINGS
STANFORD RESEARCH INST MENLO PARK CALIF
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A ring type space truss which may be used in large-diameter parabolic antennas is analyzed as a ring of uniform cross section on two supports located at opposite points of a diameter. By properly choosing the flexural and torsional rigidity, i.e., the resistance of the beam to deformation by loads causing bending and twisting moments, the internal stress resultants and the deflection of the original truss may be analyzed by means of this uniform ring. Two loading systems are considered a uniform load along the circumference of the ring and two equal concentrated loads at midspan between the supports. Expressions for the stress resultants, M and T, the bending and twisting moments, respectively, are derived for each of the two loading cases, the uniform load and the concentrated loads. A relationship for the maximum deflection of the ring is developed. It represents the total maximum deflection due to the two loading cases combined. Finally, a relation for the deflection at any section of the ring is derived. Author
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