The loadextension curve for a novel composite material shows

The load-extension curve for a novel composite material shows the following: the yield point was measured to be 400 N, at an extension of 2 mm over a gauge length of 10 cm, on a 3 cm diameter tensile specimen as shown. Assuming that the fiber is 3 times as stiff as the matrix material and that there was no delamination between the continuous fiber reinforcement and the surrounding matrix, calculate the elastic modulus of the 30/70 fiber/matrix composite material. Answer to two decimal places with the correct magnitude prefix and units.

Solution

(1) You rotated the square 45 deg about z-axis, 30 degree about x-axis, and then translated by 3 in x-direction and 2 in y-direction. Write down the matrix equation that will derive (x,y,z), the coordinate of the four points of the square after the transformation.

(2) You scaled up the square 2 times in all x,y,z direction, and then rotated it 10 degree about xaxis, and then translated by 2 in x-direction. Write down the matrix equation that will derive the coordinate of the four points of the square after the transformation.