Exercise A Consider a linear tissue where gravity is the only body force and it acts...

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Exercise A Consider a linear tissue where gravity is the only body force and it acts in the negative x direction. (a) Assume: the problem is one-dimensional in the x direction; the material is of height L; the boundary conditions are zero displacement at x = 0 and zero stress at x = L. Show that the displacement of the tissue as a function of x is: pgx u = (x 2L) 2E (A.1) (b) If the tissue has density the same as water and a value of Young's modulus of 500 Pa, calculate the displacement of the top of the tissue if it is 1 cm tall (for convenience take = 8 10 m/s). Exercise A Consider a linear tissue where gravity is the only body force and it acts in the negative x direction. (a) Assume: the problem is one-dimensional in the x direction; the material is of height L; the boundary conditions are zero displacement at x = 0 and zero stress at x = L. Show that the displacement of the tissue as a function of x is: pgx u = (x 2L) 2E (A.1) (b) If the tissue has density the same as water and a value of Young's modulus of 500 Pa, calculate the displacement of the top of the tissue if it is 1 cm tall (for convenience take = 8 10 m/s).

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