PROJECT: DUBAI MALL FASHION AVENUE EXTENSION

LOCATION: DUBAI, UAE

SUBJECT: GRC SCREEN LOUVER

FIG. 1

1300

a a

The following calculation is for the panel at the location of the opening (of size 1300x1635).

This is an integral part of the overall panel.

b

b

1635

FIG. 2 section aa

FIG. 3

II GIVEN DATA

GRC UNIT WEIGHT = 2000 kg/m³

MODULUS OF ELASTICITY (E) = 6895 MPa

FOR THE SCREEN

GRC THICKNESS = 35 mm

LENGTH (Span)= 1635 mm

WIND PRESSURE = Wp = 3.16 kPa (Suction)

TRIBUTARY AREA = 1300x 1635= 2,125,500.00 mm²

2.1255 m²

LESS AREA OF OPENINGS = 1223675.77 mm²

1.224 m²

NET EFFECTIVE AREA Ag = 0.902 m²

NET AREA FACTOR = 0.902/2.1255 0.424

FOR THE SECTION OF THE SCREEN

N. Axis

c = 18.33 35 35

see at section bb COMPUTE THE M.I. (I) OF SECTION

Width of the panel = 1300 mm

Effective width after reduction of the openings

= 846 mm

Effective moment of Inertia

= 846 x 353

Fw 12

= 3,022,688 mm4

Wp = -3.16 kPa (Suction)

Effective wind pressure = Wp x Net area factor

= 3.16 x 0.424

= 1.340 kPa

Wind load per unit length = 1.340 x 1.3

= 1.742 kN/m

1635

V = w L/2 1424.09 N

118,000 Nmm

The panel is part of the overall panel and consequently, partial fixity condition at the edges are assumed.

M = wL² M = wL²

10 10

Nmm

BENDING

max M = 1.742 x 1.6352

10

= 0.466 kNm

= 465,676 Nmm

CHECK FOR BENDING STRESS AND SHEAR STRESS

fb = M c

I

465,676 x 18.33

fb = 2.82 N/mm²

3,022,688

465,676

ALLOWABLE BENDING STRESS OR FLEXURAL = 900 Psi (minimum)

6.2 N/mm²

fb IS LESS THAN ALLOWABLE, HENCE OK

SHEAR :

fv = V

A

fv = 1424.09 A = (35 x 35)x2 + (25 x 35) x 5

6825 6825 mm²

fv = 0.209 N/mm² OK

FOR ALLOWABLE SHEAR STRESS= 400 Psi

2.758 N/mm²

fv IS LESS THAN ALLOWABLE, HENCE OK

DEFLECTION

Max. Deflection = wl4

384 EI

= 1.56 mm

Allowable Deflection = span/200

= 8.175 mm

Maximum deflection is less than allowable. HENCE OKMaximum deflection is less than allowable. HENCE OK