VM307

VM307
Vector-Oriented and Tapered Distributed Edge Load on a Rectangular Plate

Overview

Reference:	R. C. Hibbeler. Engineering Mechanics: Statics.. 12th Ed. Pearson, 2010: 183.
Analysis Type(s):	Static Analysis (ANTYPE = 0)
Element Type(s):	3D 4-Node Structural Shell Elements (SHELL181)
Input Listing:	vm307.dat

Test Case

A rectangular plate of length l and width b is fixed on one end. A vector-oriented and tapered distributed edge load is applied (shown in Figure 557: Initial Boundary Conditions). The tangential component is excluded. The force components due to applied load are determined and compared with the reference.

Figure 557: Initial Boundary Conditions

Figure 558: Deformed Configuration

Material Properties	Geometric Properties	Loading
E = 9 x 10⁶ N/mm² υ = 0.3	l = 10 mm b = 1 mm	P = -1000 N at l = 0 mm P = -11000 N at l = 10 mm

Material Properties

Geometric Properties

E = 9 x 10⁶ N/mm²

υ = 0.3

l = 10 mm

b = 1 mm

P = -1000 N at l = 0 mm

P = -11000 N at l = 10 mm

Analysis Assumptions and Modeling Notes

Large deflection is enabled (NLGEOM,ON). The vector-oriented load option is specified (SFCONTROL with KCSYS = 2). The tangential component of the vector-oriented load is excluded (KPROJ = 2). Only the normal tapered loads, therefore, are present on the deformed configuration (shown in Figure 558: Deformed Configuration ).

Results Comparison

Applied Force Components	Target	Mechanical APDL	Ratio
X direction (N)	-2286.737	-2286.875	1.000
Y direction (N)	-34227.914	-34227.000	1.000