fcd0913f-574b-4141-8606-5b3f3df67aad 7 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Literature: DESIGNERS’ GUIDE TO EN 1992-2 EUROCODE 2: DESIGN OF CONCRETE STRUCTURES PART 2: CONCRETE BRIDGES C. R. HENDY and D. A. SMITH

SPAN 3020 - 3050. PRECAST STAGE

Bending moment

M.Ed γ.G 0457085898778552791 mat * kN * m * :

γ.G 1.35 :

Sectional dimessions:

h 250 mm * :

b 1.0 m * :

Reinforcement

Concrete

f.yk 500 MPa * :

f.ck 35 MPa * :

γ.s 1.15 :

a.cc 1.0 :

γ.c 1.5 :

E.s 200 GPa * :

ε.c 0.0035 :

λ 0.8 :

β 0.5 λ * : 0.4

f.yd f.yk γ.s / : MPa 434.8

f.cd a.cc f.ck γ.c / * : MPa 23.3

ε.s.lim f.yd E.s / : 0.002174

f.av λ f.cd * : MPa 18.67

Tension reinforcement

a.s1 70 mm * :

- distance between center of bars and bottom edge of the section

d.s1 h a.s1 - : 0.18 m *

K.av M.Ed b d.s1 2^* f.av * / :

K.av vectorize 0 0.1004 0.1562 0.1897 0.1987 0.1942 0.1741 0.1228 0.0603 91 mat

vectorized K

_________________ERROR_______________________________________________

TEST vectorize

ξ 114 β * K.av vectorize * - sqrt (- 2 β * / : #

ξ.1 114 β * K.av * - sqrt (- 2 β * / : #

ξ.2 vectorize 114 β * K.av * - sqrt (- 2 β * / : #

a 114 β * K.av * - (0.5^(- :

TESTS

a 114 β * 0 * - (0.5^(- :

OK with zero

a 114 β * K.av * - ((- :

OK without sqaure root

Matrix with power of/sqaure causes problem?!?

ξ.lim 1 f.yd E.s ε.c * / 1 + / : 0.6169

A.s M.Ed f.yd d.s1 β ξ * d.s1 * - (* / :

Required reinforcement:

K.av 0 0.1004 0.1562 0.1897 0.1987 0.1942 0.1741 0.1228 0.0603 91 mat

ξ #

A.s cm 2^#

M.Ed kN m * 0 60.75 94.5 114.75 120.15 117.45 105.3 74.25 36.45 91 mat

ξ.lim 0.6169