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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

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
L/2
C
P
L/2
B
a →→→
fibre
matrix
Transcribed Image Text:A L/2 C P L/2 B a →→→ fibre matrix
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Dependence on Mechanical Properties
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning