A circular FRP composite rod with continuous and aligned fibers has a 3 in. diameter. The rod is simply supported with a span of 4 ft and is subjected to three-point bending with a 270 lb center load. a. If the maximum allowable center deflection cannot exceed 0.02 in., what is the minimum modulus of the composite in order to meet this requirement? b. If the FRP has a modulus as obtained in Part a and the moduli of the matrix and the fibers are 0.5 × 10" psi and 20 × 10* psi, respectively. what is minimum percent of fibers that meets this requirement?
A circular FRP composite rod with continuous and aligned fibers has a 3 in. diameter. The rod is simply supported with a span of 4 ft and is subjected to three-point bending with a 270 lb center load. a. If the maximum allowable center deflection cannot exceed 0.02 in., what is the minimum modulus of the composite in order to meet this requirement? b. If the FRP has a modulus as obtained in Part a and the moduli of the matrix and the fibers are 0.5 × 10" psi and 20 × 10* psi, respectively. what is minimum percent of fibers that meets this requirement?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A circular FRP composite rod with continuous and aligned fibers has a 3 in. diameter. The rod is simply supported with a span of 4 ft and is subjected to three-point bending with a 270 lb center load.
a. If the maximum allowable center deflection cannot exceed 0.02 in., what is the minimum modulus of the composite in order to meet this requirement?
b. If the FRP has a modulus as obtained in Part a and the moduli of the matrix and the fibers are 0.5 × 10" psi and 20 × 10* psi, respectively. what is minimum percent of fibers that meets this requirement?
Expert Solution
Step 1: Given
Diameter of the FRP composite rod is D =3 in.
The span of the rod which is simply supported is L=4 ft or 48 in
The central load acting on the rod is P =270 lb
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