Design and manufacture of plastic and composite parts The tank shown in Figure 1 is stacked as follows: Couches individuelles: verre = glass 1 - Unidirectionnel verre/epoxy, V₁ = 62%, h = 0.010 po. 2- Mat verre/epoxy, V₁ = 40%, h = 0.040 po. Extérieur 4 Empilement: [0/35/-35/90] 3 2 3 1 Intérieur Unidirectionnel kevlar-epoxy, V₁ = 55%, h = 0.010 po. 4- Tissus 50/50, Kevlar/epoxy, 230 g/m2, V₁ = 50% h = épaisseur du PLI V₁ = Pourcentage volumique de fibres As well as the following load and dimensions: P = 3 MPa r = 50 mm L = 625 mm h = 600 mm F = 500 N N h р B x F Figure 1. multilayer composite pipe under pressure (p), also subject to torsional moment and bending moment due to force F and lever arms h and L. page 1 2. We ask: - Calculate the state of stress Nx, Ny and Ns in the most stressed cylindrical part at point A. - Calculate properties along the principal axes for each of the folds - Calculate the stiffness matrices [A], [B] and [D] and the flexibility matrices [a], [b], [c] and [d]. - Calculate stresses and strains along the principal axes 1, 2 and 6 of each of the folds - Calculate the safety factor of the reservoir according to the Tsai-Wu criterion Form: Torsion-induced shear stress (torque T): T= Tr J with J = 플(-1) Flexural stress induced by bending (distributed load w) : g= Мс I with π I = 4 (r-r) and c=r Stress σ, induced by internal pressure (P) : бө Pr t How to Answer: For the report and at all stages of the problem solution, you must perform, by hand, all the calculations required to arrive at the final results of the stresses and Tsai-Wu failure criterion calculated for each of the plies. The calculations must be sufficiently detailed and described to enable you to check that you have grasped the complete method for solving a design problem for a composite part, from start to finish (basic properties of the fibers and matrix) (Tsai-Wu criterion for each ply). page 2

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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Design and manufacture of plastic and composite parts
The tank shown in Figure 1 is stacked as follows:
Couches individuelles:
verre = glass
1 - Unidirectionnel verre/epoxy, V₁ = 62%, h = 0.010 po.
2- Mat verre/epoxy, V₁ = 40%, h = 0.040 po.
Extérieur
4
Empilement:
[0/35/-35/90]
3
2
3
1
Intérieur
Unidirectionnel kevlar-epoxy, V₁ = 55%, h = 0.010 po.
4- Tissus 50/50, Kevlar/epoxy, 230 g/m2, V₁ = 50%
h = épaisseur du PLI
V₁ = Pourcentage volumique de fibres
As well as the following load and dimensions:
P = 3 MPa
r = 50 mm
L = 625 mm
h = 600 mm
F = 500 N
N
h
р
B
x
F
Figure 1. multilayer composite pipe under pressure (p), also subject to torsional moment and bending
moment due to force F and lever arms h and L.
page 1
Transcribed Image Text:Design and manufacture of plastic and composite parts The tank shown in Figure 1 is stacked as follows: Couches individuelles: verre = glass 1 - Unidirectionnel verre/epoxy, V₁ = 62%, h = 0.010 po. 2- Mat verre/epoxy, V₁ = 40%, h = 0.040 po. Extérieur 4 Empilement: [0/35/-35/90] 3 2 3 1 Intérieur Unidirectionnel kevlar-epoxy, V₁ = 55%, h = 0.010 po. 4- Tissus 50/50, Kevlar/epoxy, 230 g/m2, V₁ = 50% h = épaisseur du PLI V₁ = Pourcentage volumique de fibres As well as the following load and dimensions: P = 3 MPa r = 50 mm L = 625 mm h = 600 mm F = 500 N N h р B x F Figure 1. multilayer composite pipe under pressure (p), also subject to torsional moment and bending moment due to force F and lever arms h and L. page 1
2. We ask:
- Calculate the state of stress Nx, Ny and Ns in the most stressed cylindrical part at point A.
- Calculate properties along the principal axes for each of the folds
- Calculate the stiffness matrices [A], [B] and [D] and the flexibility matrices [a], [b], [c] and [d].
- Calculate stresses and strains along the principal axes 1, 2 and 6 of each of the folds
- Calculate the safety factor of the reservoir according to the Tsai-Wu criterion
Form:
Torsion-induced shear stress (torque T):
T=
Tr
J
with J =
플(-1)
Flexural stress induced by bending (distributed load w) :
g=
Мс
I
with
π
I
=
4
(r-r) and c=r
Stress σ, induced by internal pressure (P) :
бө
Pr
t
How to Answer:
For the report and at all stages of the problem solution, you must perform, by hand, all the calculations
required to arrive at the final results of the stresses and Tsai-Wu failure criterion calculated for each of
the plies. The calculations must be sufficiently detailed and described to enable you to check that
you have grasped the complete method for solving a design problem for a composite part, from start to
finish (basic properties of the fibers and matrix) (Tsai-Wu criterion for each ply).
page 2
Transcribed Image Text:2. We ask: - Calculate the state of stress Nx, Ny and Ns in the most stressed cylindrical part at point A. - Calculate properties along the principal axes for each of the folds - Calculate the stiffness matrices [A], [B] and [D] and the flexibility matrices [a], [b], [c] and [d]. - Calculate stresses and strains along the principal axes 1, 2 and 6 of each of the folds - Calculate the safety factor of the reservoir according to the Tsai-Wu criterion Form: Torsion-induced shear stress (torque T): T= Tr J with J = 플(-1) Flexural stress induced by bending (distributed load w) : g= Мс I with π I = 4 (r-r) and c=r Stress σ, induced by internal pressure (P) : бө Pr t How to Answer: For the report and at all stages of the problem solution, you must perform, by hand, all the calculations required to arrive at the final results of the stresses and Tsai-Wu failure criterion calculated for each of the plies. The calculations must be sufficiently detailed and described to enable you to check that you have grasped the complete method for solving a design problem for a composite part, from start to finish (basic properties of the fibers and matrix) (Tsai-Wu criterion for each ply). page 2
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