Composite engineering In a design assignment, you are asked to use continuous carbon fibres to reinforce...

Composite engineering

In a design assignment, you are asked to use continuous carbon fibres to reinforce an epoxy matrix
to achieve Young's modulus of 250 GPa along the longitudinal direction of the composite. The
epoxy matrix to use has a Young's modulus of 2 GPa and the continuous carbon fibres 400 GPa. If
the allowed maximum loading of the C fibres is 60 vol%, is the design goal achievable? You are
required to derive any equation needed in the calculation and state any assumptions made.

Solutions

Expert Solution

In fibre reinforced composites, fibre material is so selected that it's Young's modulus is always more than the Young's modulus of matrix.

E_f >> E_m

E_f = Young's modulus of fibre ( Continuous carbon fibre)= 400 GPa

E_m = Young's modulus of matrix ( epoxy matrix) = 2 GPa

v_f = Volume fraction of the fibres

v_m = Volume fraction of the matrix

For longitudinal loading, the figure is as shown.

Load P, is applied parallel to the fibres. The amount of strain is equal for the matrix and fibres. However the load is ditributed among the fibres and the matrix.

Now the allowed maximum loading of C fibres is 60 vol% , i.e., v_f = 0.6, v_m = 0.4

E_c = 2 * 0.4 + 400* 0.6 = 240.8 GPa

This is the maximum value of Young's modulus of composite along the longitudinal direction, beacuse of the given limit of Carbon fibre volume%. Therefore, the design goal is not achievable.

It can be achieved if v_f = 62.31 %

samet mamat answered 1 year ago

Next > < Previous

Related Solutions

How do you reinforce excellence in performance through recognition and continuous feedback?

You have been asked by your supervisors at A&L Engineering to design a roller coaster for...

You have been asked by your supervisors at A&L Engineering to design a roller coaster for a new theme park. Because this design is in the initial stages, you have been asked to create a track for the ride. Your coaster should have at least two peaks and two valleys, and launch from an initial height of 75 meters. Each peak and valley should represent a vertical change of at least 20 meters. In your design, you should plan for...

This assignment will use the Employee class that you developed for assignment 6. Design two subclasses...

This assignment will use the Employee class that you developed for assignment 6. Design two subclasses of Employee…SalariedEmployee and HourlyEmployee. A salaried employee has an annual salary attribute. An hourly employee has an hourly pay rate attribute, an hours worked attribute, and an earnings attribute. An hourly employee that works more than 40 hours gets paid at 1.5 times their hourly pay rate. You will decide how to implement constructors, getters, setters, and any other methods that might be necessary....

In this assignment, design an ANOVA test . Identify the factors and levels in you design....

In this assignment, design an ANOVA test . Identify the factors and levels in you design. Is it a one factor study or multi factor between-subjects design?

Engineering Ethics Course Assignment: Risk, Safety, and Accidents 1. State one design criterion that should be...

Engineering Ethics Course Assignment: Risk, Safety, and Accidents 1. State one design criterion that should be met in order to ensure a safe design. 2. Describe the following accident types: a. Procedural b. Engineered c. Systemic

you are a client asked an architect to design a villa for yourself. You as a...

you are a client asked an architect to design a villa for yourself. You as a client didn’t ask for fees. The architect finished design and tried to collect the fees, and you were reasonable thinking that the fees will be around $3000. Since, this was paid for similar villa design of your friend. The architect argued that the fees should be $5000, discuss the possible action by judge if architect sued you and explain why?

Network Design proposal for a University Problem: Suppose you are asked to design of a network...

Network Design proposal for a University Problem: Suppose you are asked to design of a network infrastructure for a university. The university has 7 departments namely, IT, Finance, HR, Management, Faculty, students and R&D. The university also has an ADSL internet connection which is shared for the different departments. It is required that all the departments should have intercommunication. The R&D department should not have access to the internet. Each of the department contain 50-100 users. Explain your design giving...

You were asked by the Manager of Engineering to propose a solution for a current production...

You were asked by the Manager of Engineering to propose a solution for a current production line problem. After analyzing the issues you came up with two solutions, both of which will solve the problem for the next five years. Solution A would initially cost $90,000, have annual O&M costs of $22,000 and will generate annual savings of $48,000, while solution B will need an initial $62,000, $17,000 for annual O&M costs, and will generate annual savings of $36,000. Both...

In this assignment you are going to use the menu you created in Assignment 1 to...

In this assignment you are going to use the menu you created in Assignment 1 to test both your Double and Integer classes. You should add functionality to the menu to allow you test the add, sub, mul, div functions for instances of both classes You are going to have make a modification to your menu class. Currently it uses an array to hold a fixed amount of menu items. While this may be OK for most applications we want...

(Q2) As a fire engineer, assume that you are assigned to a fire engineering design of...

(Q2) As a fire engineer, assume that you are assigned to a fire engineering design of the retail building with extraordinary atrium that connected six floors. You have to adopt fire engineering approach on this project and conduct a theoretical analysis of full evacuation in this commercial building. Please brief your design procedures. (Hint: Relationship between occupant density, travel speed and flow is recommended to consider.)

Subjects