t at IMD D - Purdue University€¦ · the concrete. Find: For this problem: (a) Determine the largest depth of water h that the concrete dam can hold without tipping. (b) Determine

g--

t

Look at IMD

D•

O

O

- -70p produce enough moment→

to life up w .

① fefmax --Ms -N

-0O-

Tip first ? or slip first ?

←Recommend

→D= by

→ f -- Ms .N

f- ⇐

-R

=

→ cheek if f Efmax

If

Sin0=0.6 Aso = 0.8

choose the gtipping point

,fB to

→ f NA - w . Gso = o. 8 W

fa = W . SinO - P -- O. 4 W L Ms - NA- o . 48 w

↳ Ng =p - wsinot 'zw Gso = - 0.08 W

- -

width into the page

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i:*Teg -- I fpwgh) .h① =3 heh

'

/Wi ' Pc -g. 4. d.④ = zoo lbs

'Sb

Wi- pig . ( 'z b - d.④ = 150 lbs

a) Assume tippingEeg, f

EMA =o : Wi ( 1,5) t WL ( } ) - Eeg - ¥=o N{ Fey = 31.2K

⇒ h = 3.75 ftt

metf¥?YZfx=o : f = feg = 438.75 lb

ZFy=o : he w , + WE 450lb

⇒ f 7 Imax -

-Ms.tv/.=sslipsir#

b, assume slipping : ⇒ if --NswEeg,

fFey = 31 .2h'

Efx '- o '. Eeg = f -- Ms . N

I Fy=o : N-nw.tw , = 450 lb

⇒ h; 2- 94 ft

hs s he ⇒ Slip first

ykrtnemt.no?o?.oheckEo#y- Eeg ' hz t w, ( I. s> +WI E) - N . I ⇒

⇒ I >o

⇒ slip first1-I

-Quiz