Assuming that the failure mode for longitudinal compression of unidirectional E-glass/epoxy with fiber volume fraction υf...
Assuming that the failure mode for longitudinal compression of unidirectional E-glass/epoxy with fiber volume fraction υf = 0.6 is a transverse tensile rupture due to Poisson strains, (a) estimate the longitudinal compressive strength of this material and (b) if the volume fraction of the material in part (a) is varied, what effect would this have on the longitudinal compressive strength?
this is question 4.17 from Principles of composite material mechanics, 4th edition, by Ronald F gibson
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Assuming that the failure mode for longitudinal compression of
unidirectional E-glass/epoxy with fiber volume fraction υf...
A unidirectional glass fiber-epoxy matrix composite containing 65 vol% fiber, calculate the modulus of elasticity in...
A unidirectional glass fiber-epoxy matrix composite containing 65 vol% fiber, calculate the modulus of elasticity in the longitudinal direction and the transverse direction. Epoxy has a density of 1.54 g/cm3, modulus of elasticity of 3.5 GPa, yield strength of 60 MPa, tensile strength of 95 MPa, and Poisson’s ratio of 0.33. Glass fiber has a Poisson’s ratio of 0.22.
Composite Structures Tutorial 7 (week 8) 7.1 Find the five strength parameters of a unidirectional glass/epoxy lamina with 40% fiber volume fraction. Use the properties of glass and ep...
Composite Structures Tutorial 7 (week 8) 7.1 Find the five strength parameters of a unidirectional glass/epoxy lamina with 40% fiber volume fraction. Use the properties of glass and epoxy from Table 3.1 and Table 3.2. Assume the fibers have circular cross-section and are in a square array packing. 1-52.0-$01674870 225 47 Find 208 Mechanics of Composite Materials, Second Edi Convert PO or Excel Orl Select PDF I TABLE 3.1 Typical Properties of Fibers (SI System of Units) Units Graphite Glass...
235 Find the off-axis shear strength and mode of failure of a 60 boron/ epoxy lamina. Use the pro...
235 Find the off-axis shear strength and mode of failure of a 60 boron/ epoxy lamina. Use the properties of a unidirectional boron/epoxy lamina from Table 2.1. Apply the maximum stress failure, maximum strain, Tsai-Hill, and Tsai-Wu failure theories. TABLE 2.1 Tvpical Mechanical Properties of a Unidirectional Lamina (SI System of Units) Glass Boron/ Graphite/ Property SymbolUnits epoxy epoxy epoxy Fiber volume fraction Longitudinal elastic modulus Transverse elastic modulus Major Poisson's ratio Shear modulus Ultimate longitudinal tensile strength Ultimate longitudinal...
2. For a graphite/epoxy unidirectional lamina (un-oriented lamina), find the following: ,--3 MPa 1) Compliance matrix...
2. For a graphite/epoxy unidirectional lamina (un-oriented lamina), find the following: ,--3 MPa 1) Compliance matrix 2) Stiffness matrix 3) Resultant strain under the applied stresses 12-4 MP 2 MPa τ12 Typical Mechanical Properties of a Unidirectional Lamina (SI System of Units) Glass Boron/ Graphitel epoxy epoxy Property Symbol Units epoxy Fiber volume fraction Longitudinal elastic modulus E Transverse elastic modulus E, Major Poisson's ratio Shear modulus Ultimate longitudinal tensile (σ1he 0.45 0.70 10.30 7.17 GPa GPa 38.6 8.27 18.50...
3. A [0/90]s graphite/epoxy laminate is subjected to a tensile normal load of 1N/m in the x- dire...
3. A [0/90]s graphite/epoxy laminate is subjected to a tensile normal load of 1N/m in the x- direction (the direction parallel to the fibers in the 0° ply). Assume the thickness of each ply is 5 mm and use properties of unidirectional graphite/epoxy lamina from the table. a) Calculate the resultant strains of the laminate b) Calculate the global stresses in the laminate c) Calculate the principal stresses (stresses in material directions) of the top layer. Typical Mechanical Properties of...
6.1 A simply supported laminated composite beam (Figure 6.6) made of glass/epoxy is 75 mm long an...
6.1 A simply supported laminated composite beam (Figure
6.6) made of glass/epoxy is 75 mm long and has the layup of
[±30]2s. A uniform load is applied on the beam that is 5 mm in
width. Assume each ply is 0.125 mm thick and the properties of
glass/epoxy are from Table 2.1.
1. What is the maximum deflection of the
beam?
2. Find the local stresses at the top of the
laminate.
q- 100 N/m 0.075 m FIGURE 6.6 Uniformly...
Chapter 16, Problem 16.17 Compute the longitudinal tensile strength of an aligned glass fiber-epoxy matrix composite...
Chapter 16, Problem 16.17 Compute the longitudinal tensile strength of an aligned glass fiber-epoxy matrix composite in which the average fiber diameter and length are 0.0135 mm (0.53 x 10-4 in.) and 1.58 mm (0.062 in.), respectively, and the volume fraction of fibers is 0.33. Assume that (1) the fiber-matrix bond strength is 100 MPa (14,500 psi), (2) the fracture strength of the fibers is 3500 MPa (5 x 105 psi), and (3) the matrix stress at composite failure is...
An unidirectional Glass fibre Epoxy Composite laminate is produced with fibre volume percentage of 40. If...
An unidirectional Glass fibre Epoxy Composite laminate is produced with fibre volume percentage of 40. If the modulus of elasticity of the fibre and matrix are 74 GPa and 2.4 GPa respectively, determine the young's modulus of the composite in the longitudinal transverse directions.
please solve 2 and 3 1- The reduced stiffness matrix [Q] is given for a unidirectional...
please solve 2 and 3
1- The reduced stiffness matrix [Q] is given for a unidirectional lamina as follows: 5.681 0.3164 0 ] [Q]=0.3164 1.217 0 Msi I 0 0 0.6006 Calculate the four engineering constants E1, E2, V12, G12 of the lamina. 2- Calculate the transformed reduced stiffness [Q] for the above problem for 0 = 30°. Glass 3- A glass/epoxy lamina consists of 70% fiber volume fraction. Use properties of glass and epoxy from the tables below to...
It is desired to produce an aligned carbon fiber-epoxy matrix composite having a 0.16 volume fraction...
It is desired to produce an aligned carbon fiber-epoxy matrix composite having a 0.16 volume fraction of fibers. Calculate (a) the critical fiber length, and (b) the longitudinal strength of the composite (in MPa), assuming the following: (1) the average fiber diameter is 0.018 mm, (2) the average fiber length is 5.7 mm, (3) the fiber fracture strength is 2.0 GPa, (4) the fiber-matrix bond strength is 84 MPa, (5) the matrix stress at fiber failure is 27.1 MPa, (6)...
Composite Structures Tutorial 7 (week 8) 7.1 Find the five strength parameters of a unidirectional glass/epoxy lamina with 40% fiber volume fraction. Use the properties of glass and epoxy from Table 3.1 and Table 3.2. Assume the fibers have circular cross-section and are in a square array packing. 1-52.0-$01674870 225 47 Find 208 Mechanics of Composite Materials, Second Edi Convert PO or Excel Orl Select PDF I TABLE 3.1 Typical Properties of Fibers (SI System of Units) Units Graphite Glass...
235 Find the off-axis shear strength and mode of failure of a 60 boron/ epoxy lamina. Use the properties of a unidirectional boron/epoxy lamina from Table 2.1. Apply the maximum stress failure, maximum strain, Tsai-Hill, and Tsai-Wu failure theories. TABLE 2.1 Tvpical Mechanical Properties of a Unidirectional Lamina (SI System of Units) Glass Boron/ Graphite/ Property SymbolUnits epoxy epoxy epoxy Fiber volume fraction Longitudinal elastic modulus Transverse elastic modulus Major Poisson's ratio Shear modulus Ultimate longitudinal tensile strength Ultimate longitudinal...
2. For a graphite/epoxy unidirectional lamina (un-oriented lamina), find the following: ,--3 MPa 1) Compliance matrix 2) Stiffness matrix 3) Resultant strain under the applied stresses 12-4 MP 2 MPa τ12 Typical Mechanical Properties of a Unidirectional Lamina (SI System of Units) Glass Boron/ Graphitel epoxy epoxy Property Symbol Units epoxy Fiber volume fraction Longitudinal elastic modulus E Transverse elastic modulus E, Major Poisson's ratio Shear modulus Ultimate longitudinal tensile (σ1he 0.45 0.70 10.30 7.17 GPa GPa 38.6 8.27 18.50...
3. A [0/90]s graphite/epoxy laminate is subjected to a tensile normal load of 1N/m in the x- direction (the direction parallel to the fibers in the 0° ply). Assume the thickness of each ply is 5 mm and use properties of unidirectional graphite/epoxy lamina from the table. a) Calculate the resultant strains of the laminate b) Calculate the global stresses in the laminate c) Calculate the principal stresses (stresses in material directions) of the top layer. Typical Mechanical Properties of...
6.1 A simply supported laminated composite beam (Figure
6.6) made of glass/epoxy is 75 mm long and has the layup of
[±30]2s. A uniform load is applied on the beam that is 5 mm in
width. Assume each ply is 0.125 mm thick and the properties of
glass/epoxy are from Table 2.1.
1. What is the maximum deflection of the
beam?
2. Find the local stresses at the top of the
laminate.
q- 100 N/m 0.075 m FIGURE 6.6 Uniformly...
Chapter 16, Problem 16.17 Compute the longitudinal tensile strength of an aligned glass fiber-epoxy matrix composite in which the average fiber diameter and length are 0.0135 mm (0.53 x 10-4 in.) and 1.58 mm (0.062 in.), respectively, and the volume fraction of fibers is 0.33. Assume that (1) the fiber-matrix bond strength is 100 MPa (14,500 psi), (2) the fracture strength of the fibers is 3500 MPa (5 x 105 psi), and (3) the matrix stress at composite failure is...
An unidirectional Glass fibre Epoxy Composite laminate is produced with fibre volume percentage of 40. If the modulus of elasticity of the fibre and matrix are 74 GPa and 2.4 GPa respectively, determine the young's modulus of the composite in the longitudinal transverse directions.
please solve 2 and 3
1- The reduced stiffness matrix [Q] is given for a unidirectional lamina as follows: 5.681 0.3164 0 ] [Q]=0.3164 1.217 0 Msi I 0 0 0.6006 Calculate the four engineering constants E1, E2, V12, G12 of the lamina. 2- Calculate the transformed reduced stiffness [Q] for the above problem for 0 = 30°. Glass 3- A glass/epoxy lamina consists of 70% fiber volume fraction. Use properties of glass and epoxy from the tables below to...
It is desired to produce an aligned carbon fiber-epoxy matrix composite having a 0.16 volume fraction of fibers. Calculate (a) the critical fiber length, and (b) the longitudinal strength of the composite (in MPa), assuming the following: (1) the average fiber diameter is 0.018 mm, (2) the average fiber length is 5.7 mm, (3) the fiber fracture strength is 2.0 GPa, (4) the fiber-matrix bond strength is 84 MPa, (5) the matrix stress at fiber failure is 27.1 MPa, (6)...
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