more%20structures%20class%2019[1]

# more%20structures%20class%2019[1] - inclined axes limits on...

This preview shows pages 1–6. Sign up to view the full content.

α 30o M cans, each of weight W Determine the maximum number of cans that can be stacked on the smooth surfaces shown as a function of the angle α of the left hand surface before the stack loses equilibrium and the lowest can is kicked out. Let α range from 0o to 55o 1 2 M 3 inclined axes, limits on equilibrium

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
30 α M 1 2 M-1 cans W W W F x 30o N1 60 - α F 30o W N2 y α ( 29 ( 29 0 1 sin 30 0 1 / 2 x o F F M W F M W = - - = = - ( 29 ( 29 ( 29 2 2 0 cos 60 sin 30 1 / 2 2cos 60 x o F N W F M W MW N α = - - = = - = - ( 29 ( 29 1 2 1 0 cos30 sin 60 0 3 tan 60 2 y o F N W N W N M = - + - = = - -
function M =cans(a) arg = (60- a)*pi/180; M = floor(sqrt(3)./tan(arg)); N1 = 0 when M must be an integer so need to round values down to nearest integer we can evaluate and plot this easily in MATLAB. First we define and save a function called cans: ( 29 3 tan 60 M α = - ( 29 1 3 tan 60 2 W N M = - -

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
>> a =linspace(0, 55, 1000); % the angle alpha in degrees >> m=cans(a); >> plot(a, m) 0 10 20 30 40 50 60 0 2 4 6 8 10 12 14 16 18 20 α M then we plot the number of cans versus angle
F B C A 3' 2' 1' 3' 9' x y z A plate, whose weight can be neglected, is supported by a single smooth

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 6

more%20structures%20class%2019[1] - inclined axes limits on...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online