A composite beam is comprised of polymer matrix and fibre reinforcement. The composite beam is simply supported and has a uniformly distributed load applied to the upper surface. 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 800 mm;The side length of the square beam cross-section a, is 70 mm;The distributed load , is 12 N/mm;The deflection δ, is 1.0 mm;The elastic modulus of the polymer matrix Em, is 8 Gpa.The elastic modulus of the fibre reinforcement Ef, is 79 Gpa. A composite beam is comprised of polymer matrix and fibre reinforcement.The composite beam is simply supported and has a uniformly distributed loadw applied to the upper surface.You are tasked with calculating the required fibre volume fraction Uf, suchthat the maximum deflection of the beam (at point C) is equal to a specificvalue, 8 (specified below).L/2WL/2The length of the composite beam L, is 800 mm;The side length of the square beam cross-section a, is 70 mm;The distributed load w, is 15 N/mm;The deflection 8, is 1.0 mm;The elastic modulus of the polymer matrix Em, is 9 Gpa.The elastic modulus of the fibre reinforcement Ef, is 72 Gpa.B

L = 800 mm a = 70 mmw = 15 N/mm = 1 mmEm = 9 GPa or 9000 MPaEf = 72 GPa or 72000 MPa

Answered: A composite beam is comprised of…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A composite beam is comprised of polymer matrix and fibre reinforcement. The composite beam is simply supported and has a uniformly distributed load applied to the upper surface.

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 800 mm;

The side length of the square beam cross-section a, is 70 mm;

The distributed load , is 12 N/mm;

The deflection δ, is 1.0 mm;

The elastic modulus of the polymer matrix E_m, is 8 Gpa.

The elastic modulus of the fibre reinforcement E_f, is 79 Gpa.

A composite beam is comprised of polymer matrix and fibre reinforcement.
The composite beam is simply supported and has a uniformly distributed load
w applied to the upper surface.
You are tasked with calculating the required fibre volume fraction Uf, such
that the maximum deflection of the beam (at point C) is equal to a specific
value, 8 (specified below).
L/2
W
L/2
The length of the composite beam L, is 800 mm;
The side length of the square beam cross-section a, is 70 mm;
The distributed load w, is 15 N/mm;
The deflection 8, is 1.0 mm;
The elastic modulus of the polymer matrix Em, is 9 Gpa.
The elastic modulus of the fibre reinforcement Ef, is 72 Gpa.
B

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