Plate bending

Plate bending

Description

A thin rectangular plate, simply supported along all four edges, subject to a uniformly distributed area load.

Geometry

Dimensions: 10 x 16 [m]; Thickness: 0.2 [m]
Modulus of Elasticity: 1,000,000; Poisson ratio: 0.3
Elements: 10 x 16 grid rectangular elements.
Supports: Pinned (restrained against rotation parallel to edge).

Loads

Uniform pressure: -1.0 [T/m^2] in the X3 direction on all elements.

Reference

Timoshenko and Woinowsky-Kreiger, Theory of Plates and Shells, 2nd Edition. (Chapter 5, table 6),
McGraw-Hill Book Company

Comparison of Results

Concrete design moments

Description

The plate bending model of example 3.10 is used to verify the calculation of the concrete design moments (Wood & Armer).

The Wood & Armer equations are listed in the STRAP User’s Manual. Note that these equations are based on the standard engineering sign convention (sagging moment = positive), while the STRAP sign convention gives opposite results (sagging moment = negative). For clarity, the calculations in this example use the standard engineering sign convention.

Geometry / Loads

Refer to the previous plate bending example.

Reference

R.H. Wood, “The Reinforcement of Slabs in Accordance with a Pre-determined Field of Moments”.
“Concrete” magazine – February 1968

STRAP Results

Calculation of Results

The Wood & Armer moments were verified by hand calculation and are summarized in the following table. The results are identical.