2001-02-12_HYDROLOGY - M1977378

• Permit No: M1977378
• IBM Index Class Name: HYDROLOGY
• Doc Date: 2/12/2001
• Doc Name: American Tunnel Bulkheads #2 and #3.
• From: John F. Abel, Jr.
• To: DMG
• Permit Index Doc Type: Hydrology Report
• Media Type: D
• Archive: No

American Tunnel bulkheads #2 & #3 Page 9 January 15, 2001
Appendix A. American Tunnel Bulkhead #2 design calculations
Notation:
a= compression zone depth(in) minimum to balance rebar tension
A,= area of rebar b=beam width (1 ft)
b,,=web width (12 in) Bp = formation breakdown pressure(psi)
C = comp bending force (lb) c= centroidal distance (in)
D = dead load(ft) d= distance, extreme compression fiber to
E= earthquake load (t rebar centroid (in)
E.= earthquake mass(1b ft z EE =total earthquake load (lb)
F=fluid load �t FS =factor of safety
f' = concrete comp strength (3,000 psi) f� = square root of f,,
fci = concrete tensile strength (50 f, psi) fs =concrete shear strength (psi)
fy= rebar yield strength (60,000 psi) g=acceleration due to gravity (32.2 eO Z
H= design water head (640 ft) h=tunnel height (14 ft)
I =moment of inertia K= (3.5—2.5 d°
L=bulkhead (beam) thickness Q=tunnel width(13.5 ft)
M=bending moment (ft lb) M„= nominal beam moment (ft lb)
M„=factored beam moment (ft lb) earthquake beam moment (ft lb)
m.=minimum cover, form face to S = section modulus (in 3)
rebar surface (3.5 in) Si; = inbye line-of-sight distance(1280 ft)
S,o= outbye line-of-sight distance (1630 ft) T =tensile bending force(lb)
U= required strength �. U.=earthquake required strength
V,= concrete shear strength(lb) V„= nominal shear force (lb)
V,=rebar shear strength(lb) V.=factored shear force (lb)
v,=rebar shear stress (psi) W=total bulkhead load (lb)
co=uniform load (ft) a= earthquake acceleration (0.087 WftC2
P— Pressure head 203psi) Pg —pressure gradient (ia As = strength reduction factors
P w — b,d
ya, =water density(62.4PCF) 0.90 flexure rebar tension
y, = concrete density(151PCF) 0.85 concrete shear
yr =rock density (173 PCF) 0.65 plain concrete flexure
QS =flexure stress (psi) co=uniform bulkhead design load
Z =bulkhead design depth(115 ft)
Load factors (ACI 318, Sec 9.2.2, 9.2.3, 9.2.5)
Static fluid load factor(F) = 1.4;
Factor for fluid load under earthquake acceleration (F) = 1.05;
Earthquake accelerated load factor(E) = 1.40