A [0/9^bar]_ graphite/epoxy laminate is subjected to a tensile normal load of 1N

Question

A [0/9^bar]_ 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 degree ply). Assume the thickness of each ply is 5 mm and use properties of unidirectional graphite/epoxy lamina from the table. Calculate the resultant strains of the laminate Calculate the global stresses in the laminate Calculate the principal stresses (stresses in material directions) of the top layer. Typical Mechanical Properties of a Unidirectional Lamina (SI System of Units) Source: Tsai, SW, and Hahn, HT, Introduction to Composite Materials, CRC Press, Boca Raton, FL Table 1.7, p. 19; Table 7.1, p. 292: Table 8.3, p. 344. Reprinted with permission.

Explanation / Answer

strain = stress/yound modulus = 1/(181*1000*5*1/1000) =1.1*10-3

transverse strain = u*longitudnal strain= 0.28*1.1*10-3 =3.1*10-4

principle strss= 1/(5*10-3) 200 N /m2

transverse stress= u*normal stress= 0.28*20 50N/m2

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