Plate Design

Reference: ROARK'S Formulas for Stress & Strain, 7th. Edition

Table 11.4, Case no. 8a, "Rectangular plate, all edges fixed":

a / b 1.0 1.2 1.4 1.6 1.8 2.0

1 0.3078 0.3834 0.4356 0.4680 0.4872 0.4974 0.5000

2 0.1386 0.1794 0.2094 0.2286 0.2406 0.2472 0.2500

0.0138 0.0188 0.0226 0.0251 0.0267 0.0277 0.0284

(at center of long edge) max1 = - (1qb2)/t

2

(at center) max2 = (2qb2)/t

2

ymax = (qb4)/(Et

3)

Plate thickness, t = 15 mm

Design strength, Fy = 345 N/mm2

Modulus of elasticity, Es = 206 KN/mm2

Parameter:

Longer edge, a = 5450 mm

Shorter edge, b = 1200 mm

a / b = 4.542

a / b 2.0 4.542

1 0.4974 0.5000 0.5000

2 0.2472 0.2500 0.2500

0.0277 0.0284 0.0284

Loading: Dead Load, DL = 1.16 KN/m2

Live Load, LL = 9.02 KN/m2

Load Combination = 1.1 x DL + 1.0 x LL

= 10.291 KN/m2

a) Check Stresses:

max1 = -32.93 N/mm2

max2 = 16.46 N/mm2

max = 32.93 N/mm2

allowable = 0.75Fy = 258.75 N/mm2

OK

b) Check Deflection:

ymax = 0.87 mm

yallowable, (plate thickness) = 15.00 mm OK

Verified on 26-Mar-2007

By:MK