Manual 4 square mesh
0.75 thick
12.8 Determine the maximum deflection and maximum principal stress of the circular plate shown
in Figure P12–8. The plate is subjected to a uniform pressure p = 50 kPa and fixed along its
outer edge. Let E = 200 GPa, v = 0.3, radius r = 500 mm, and thickness
= 0.0916 (200 109) (0.020)3
Figure P12–8
12.9 Determine the maximum deflection and maximum stress for the plate shown. The plate is
a = 0.75 m and b = 1 m.
493
12.11 A square steel plate 2 m by 2 m and 10 mm thick at the bottom of a tank must support salt
water at a height of 3 m, as shown in Figure P12–11. Assume the plate to be built in (fixed all
around). The plate allowable stress is 100 MPa. Let E = 200 GPa, v = 0.3 for the steel
properties. The weight density of salt water is 10.054
3
kN
m
. Determine the maximum principal
stress in the plate and compare to the yield strength.
Find
Maximum principal stress = ? 347.43
2
MN
m
12.12 A stockroom floor carries a uniform load of p = 80
2
lb
ft
over half the floor as shown in Figure
P12–12. The floor has opposite edges clamped and remaining edges and mid-span simply
supported. The dimensions are 40 ft by 20 ft. The floor thickness is 4 in. The floor is made
12.13
12.15
Model variables
Variable
Value
Material
1010 cold rolled
Modulus of Elasticity
29 106 psi
Maximum von Mises Stress
1351 psi
Maximum Displacement
0.00565 in.
Algor results
497
12.16
498
Figure 2 The Boundary Conditions on the bucket.
The results of the analysis are shown below in Figure 3.
Figure 3 The von Mises stress in psi for the bucket plate analysis.