A composite beam is comprised of polymer matrix and continuous fibre reinforcement. The composite beam is simply supported and has a concentated load P, applied at the center. You are tasked with calculating the required fibre volume fraction, such that the maximum deflection of the beam (at point C) is equal to a specific value, δ (specified below). The length of the composite beam L, is 1,050 mm; The side length of the square beam cross-section, a, is 60 mm; The applied forced P, is 2.0 kN; The deflection δ, is 1.6 mm; The elastic modulus of the polymer matrix Em, is 10 Gpa. The elastic modulus of the fibre reinforcement Ef, is 70 Gpa
A composite beam is comprised of polymer matrix and continuous fibre reinforcement. The composite beam is simply supported and has a concentated load P, applied at the center. You are tasked with calculating the required fibre volume fraction, such that the maximum deflection of the beam (at point C) is equal to a specific value, δ (specified below). The length of the composite beam L, is 1,050 mm; The side length of the square beam cross-section, a, is 60 mm; The applied forced P, is 2.0 kN; The deflection δ, is 1.6 mm; The elastic modulus of the polymer matrix Em, is 10 Gpa. The elastic modulus of the fibre reinforcement Ef, is 70 Gpa
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A composite beam is comprised of polymer matrix and continuous fibre reinforcement. The composite beam is simply supported and has a concentated load P, applied at the center.
You are tasked with calculating the required fibre volume fraction, such that the maximum deflection of the beam (at point C) is equal to a specific value, δ (specified below).
The length of the composite beam L, is 1,050 mm;
The side length of the square beam cross-section, a, is 60 mm;
The applied forced P, is 2.0 kN;
The deflection δ, is 1.6 mm;
The elastic modulus of the polymer matrix Em, is 10 Gpa.
The elastic modulus of the fibre reinforcement Ef, is 70 Gpa.
Transcribed Image Text:A
L/2
C
P
L/2
B
a →→→
fibre
matrix
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