CobelDesign-CSA

acb4c313-4c3c-46a4-901b-4f265a03dce1 227 CobelDesign-CSA_S&T MG 16012-T12 SureSpan Cracked Spandrels 4 5 decimal

&[PAGENUM] / &[COUNT]

CORBEL DESIGN-CPCI (STRUT & TIE METHOD)

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COMOX COLUMN CARRYING IT BEAMS

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Design Input :

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Predefined Units

f'.c 40 MPa * :

f.y 400 MPa * :

λ 1 :

φ.s 0.85 :

Predefined Functions

φ.c 0.7 :

v# ceil v# 0 round v# ≥ v# 0 round v# 0 round 1 + if :

Loads Input:

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x# Check x# 1 ≡ ... OK ... Not OK, Unsafe if 11 line :

V.f 1500 kN * :

DL= 840+210 kN

N.f V.f 0.2 * : kN 300

LL= 299 kN

Geometry Input:

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Value# Mult# mround Value# Mult# / 0 round Mult# * :

h 900 mm * :

.......... Depth of Corbel

b 550 mm * :

.......... Width of Corbel/Column

L 550 mm * :

.......... Length of Corbel

h.c 700 mm * :

.......... Depth of Column

W.p 125 mm * :

.......... width of bearing pad

L.p 300 mm * :

.......... Length of bearing pad

C.1 50 mm * :

.......... Cover to Corbel Main steel

C.2 80 mm * :

.......... Cover to Main Column steel

d h C.1 - (: mm 850

.......... Depth of As

a 0.7 L * 3 round : mm 385

.......... Eccentricity

Calculations:

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L.BC h.c a + C.2 - : mm 1005

L.AB h C.1 - : mm 850

pi 3.1416 :

Eq 1 el w R.D 0.75 φ.c * f'.c * b * / ≡ (:

Eq 2 el R.D V.f L.BC * N.f h * + h.c C.2 - w 2 / - (/ ≡ (:

w Eq.3 w 2^2 / w h C.2 - (* - V.f L.BC * N.f h * + (0.75 φ.c * f'.c * b * / + :

..... Soving Eq1 & Eq2

Solution with FindRoot() (requires initial guess)

Eq Unknowns R.D w 21 mat

Eq R.D V.f ≡ w h.c ≡ 21 mat FindRoot 3.9642 106^* kg m * s 2^/ * 0.3432 m * 21 mat

R.D kN 3964.178

w 0.3432 m *

Solution with Maxima Solve()

R.D w Clear 1

L Eq R.D w 21 mat Solve (: R.D 3000 kg * m * 2387 - 1135519 sqrt + (* s 2^/ - ≡ w m 44372 - 317 sqrt * 11 sqrt * 14747 sqrt * + (* 252387 - 7 sqrt 11 sqrt * 14747 sqrt * + (* / ≡ 21 sys R.D 3000 kg * m * 23871135519 sqrt + (* s 2^/ ≡ w m 44372317 sqrt * 11 sqrt * 14747 sqrt * + (* 2523877 sqrt 11 sqrt * 14747 sqrt * + (* / ≡ 21 sys 12 mat

We get two solutions, both provide positive real values

R.D L 1 el at kN 3964.178

w L 1 el at 0.3432 m *

R.D L 2 el at kN 10357.822

w L 2 el at 0.8968 m *

Check of the solution

V.f L.BC * N.f h * + h.c C.2 - w 2 / - (/ L 1 el at 3.9642 106^* N *

R.D 0.75 φ.c * f'.c * b * / L 1 el at 0.3432 m *

V.f L.BC * N.f h * + h.c C.2 - w 2 / - (/ L 2 el at 1.0358 107^* N *

R.D 0.75 φ.c * f'.c * b * / L 2 el at 0.8968 m *