Final answer:
To compute the longitudinal strength of an aligned carbon fiber-epoxy matrix composite, factors such as fiber volume fraction, tensile strength of the fibers, and bonding between fibers and the matrix need to be considered. The longitudinal strength can be computed using the equation σ = Vf * σf + Vm * σm, where Vf is the volume fraction of the fibers, σf is the tensile strength of the fibers, Vm is the volume fraction of the matrix, and σm is the tensile strength of the matrix.
Step-by-step explanation:
To compute the longitudinal strength of an aligned carbon fiber-epoxy matrix composite, you need to consider the properties of the constituent materials and their interaction. The longitudinal strength refers to the ability of the composite to withstand forces applied parallel to the direction of the aligned fibers. It is determined by factors such as the fiber volume fraction, the tensile strength of the fibers, and the bonding between the fibers and the matrix.
An equation commonly used to compute the longitudinal strength of a composite is:
σ = Vf * σf + Vm * σm
where σ is the longitudinal strength, Vf is the volume fraction of the fibers, σf is the tensile strength of the fibers, Vm is the volume fraction of the matrix, and σm is the tensile strength of the matrix.
For example, if the volume fraction of the fibers is 0.6, the tensile strength of the fibers is 2000 MPa, the volume fraction of the matrix is 0.4, and the tensile strength of the matrix is 50 MPa, the longitudinal strength of the composite would be:
σ = 0.6 * 2000 MPa + 0.4 * 50 MPa = 1240 MPa + 20 MPa = 1260 MPa