Page 65 - Mechanical Engineer's Data Handbook

54 MECHANICAL ENGINEER'S DATA HANDBOOK

I. 10.2 Stress and deflection of Rectangular plate, uniform load, clamped edges
rectangular flat plates (empirical)
Pa2
Rectangular plate, uniform load, simply 6, = 2t2[0.623(a/b)6 + 13 (at middle of edge b)
supported (Empirical)
0.0284pa4 (at centre)
Since comers tend to rise off the supports, vertical Y"=Et3[1.056(a/b)s + 13
movement must be prevented without restricting rota-
tion. Rectangular plate, concentrated load at centre,
simply supported (empirical)
U, = 0.75paZ (at centre)
t2[1.61(a/b)3;t 13 The load is assumed to act over a small area of radius e.
1
0.142~~~ 1.5P 2r
ym= Et3[2.21(a/b)3 + 13 (at centre) 0, =-[ (1 + v) In -+ 1 - k, (at centre)
xe
nt2
Pa2
y,= k, - centre)
(at
Et3

Simply supported edge

Clamped edge

1 .o 1.1 1.2 1.4 1.6 1.8 2.0 3.0 co

kl 0.127 0.138 0.148 0.162 0.171 0.177 0.180 0.185 0.185
k, 0.564 0.445 0.349 0.211 0.124 0.072 0.041 0.003 O.OO0

Rectangular plate, concentrated load at centre,
clamped edges (empirical)

um=kzP/t2 (at middle of edge b)
y,=k,Pa2/Et3 (at centre)