Post on 02-Oct-2015
description
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