QUESTION 3
For a continuous and oriented fibre-reinforced composite, the moduli of elasticity in the
longitudinal and transverse directions are 19.7 and 3.66 GPa, respectively. If the
volume fraction of fibres is 0.25, determine:
(a) the moduli of elasticity of the fibre and matrix (Hint: Obtain two equations for the
moduli for longitudinal and transverse loading, then solve simultaneously)
(18 marks)
(b) the fraction of the load carried by the matrix in the longitudinal mode (7 marks)
QUESTION 4
55 kN
25 kN/m
A
B
The cantilever beam shown in Figure 1
consists of a rectangular structural steel tube
shape (E = 200 GPa and I = 400 x 106 mm²).
For the loading shown, determine, using
Castigliano's theorem:
(a)
the deflection, in mm
(13 marks)
-1.5 m-
2.5 m
(a)
the slope (in degrees) at point A
Figure 1
(12 marks)