Solution of Continuity Equation on Flat Plate
Flat Plates Stress, Deflection Equations and Calculators : The follow web pages contain engineering design calculators that will determine the amount of deflection and stress a flat plate of known thickness will deflect under the specified load and distribution.
Many of the stress and deflection equations and calculators referenced from Roark's Formulas for Stress and Strain. Please note that most of the calculators do require a premium membership for full functionality.
Flat plate behavior: The plate deflects. The middle surface (halfway between top and bottom surfaces) remains unstressed; at other points there are biaxial stresses in the plane of the plate. Straight lines in the plate that were originally vertical remain straight but become inclined; therefore the intensity of either principal stress at points on any such line is proportional to the distance from the middle surface, and the maximum stresses occur at the outer surfaces of the plate.
| | Circular plate, uniform load, edges simply supported equation and calculator Maximum stress and deflection for circular flat plates subject to concentrated or distributed loads (pressure) with the edge either clamped or supported. |
| | Circular plate, uniform load, edges clamped equation and calculator Circular flat plates subject to concentrated or distributed loads (pressure) with the edge either clamped or supported. |
| | Circular Plate Concentrated Load Floating Equation and Calculator Circular Plate Concentrated Load Floating Equation and Calculator |
| | Circular Plate Concentrated Load Edges Fixed Support Equation and Calculator Circular Plate Concentrated Load Edges fixed Supported Equation and Calculator |
| | Rectangular plate, uniform load, simply supported equations and calculator Rectangular plate, uniform load, simply supported (Empirical) equations and calculator Since comers tend to rise off the supports, vertical movement must be prevented without restricting rotation. |
| | Flat Rectangular Plate with All Edges Simply Supported Stress and Deflection with straight boundaries and constant thickness Equation and Calculator Roark's Stress Strain |
| | Flat Rectangular Plate with All Edges Simply Supported Stress and Deflection with circular Load applied at center Equation and Calculator. |
| | Flat Rectangular Plate Uniform Loading over Central Rectangular Area Stress Equation and Calculator |
| | Flat Rectangular Plate Uniformly Increasing Loading Along Length Stress and deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness |
| | Flat Rectangular Plate Uniformly Increasing Loading Along Width Stress and deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness |
| | Flat Rectangular Uniform over entire plate plus uniform tension or compression P lb/linear in applied to short edges Stress and deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness |
| | Flat Rectangular Uniform over entire plate plus uniform over entire plate plus uniform tension P lb=linear in applied to all edges Stress and deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness |
| | Flat Rectangular Plate; Three Edges Simply Supported, one Edge (b) Free Stress and Deflection With Uniform Force over Entire Plate Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness |
| | Flat Rectangular Plate; Three Edges Simply Supported, one Edge (b) Free Stress and Deflection With Uniformly increasing along the a side Equation and Calculator. |
| | Flat Rectangular Plate; Three Edges Simply Supported, one Edge Fixed Stress and Deflection With Uniformly increasing along the a side Equation and Calculator. Per. Roarks Formulas for Stress and Strain. |
| | Flat Rectangular Plate; Three Edges Simply Supported, one long Edge Fixed Stress and Deflection With Uniform Loading over entire plate Equation and Calculator |
| | Flat Rectangular Plate; two long edges simply supported, two short edges fixed Uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate; two long edges fixed, two short edges simply supported Uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported Uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading 2/3 of plate from fixed edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas |
| | Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading 1/3 of plate from fixed edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas |
| | Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to free edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas |
| | Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to zero at 2/3 b Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to zero at 1/3 b Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading distributed line load w lb/in along free edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading distributed line load w lb/in along free edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate; all edges fixed. Uniform loading over small concentric circle of radius ro (note definition of r'o) Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate; all edges fixed. Uniform Decreasing Loading Parallel to Side b Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Over Entire Plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Uniform Loading over 2/3 of plate from fixed edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Uniform Loading over 1/3 of plate from fixed edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain for flat plates |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing from fixed edge to simply supported edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain for flat plates |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing from fixed edge to zero at 2/3b Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing from fixed edge to zero at 1/3b Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Supported Loading Uniformly Over Entire Plate Stress and Reaction Loading Equation and Calculator. Per. Roarks Formulas for Stress and Strain for flat plates |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniform over 2/3 of Plate from Fixed Edge Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniform over 1/3 of Plate from Fixed Edge Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at free edge Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at 2/3b Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at 1/3b Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Loading Uniform over Entire Plate Equation and Calculator. Per. Roarks Formulas for Stress and Strain for flat plates with straight boundaries and constant thickness |
| | Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Uniform Loading over Plate from z = 0 to z = (2/3) b Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Uniform Loading over Plate from z = 0 to z = (1/3) b Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = b Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = (2/3) b Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = (1/3) b Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Continuous Plate Supported at Equal Intervals "a" on Circular Supports of Radius ro Uniform Loading of Entire Plate Stress Equation and Calculator. Per. Roarks Formulas for Stress and Strain for flat plates |
| | Continuous Plate Supported on an Elastic Foundation of Modulus k (lb/in2/in) Stress and Deflection Equation and Calculator. Uniform Loading over a snall circle of radius ro remote from the edges. Per. Roarks Formulas for Stress and Strain |
| | Continuous Plate Supported on an Elastic Foundation of Modulus k (lb/in2/in) Stress and Deflection Equation and Calculator. Uniform loading over a small circle of radius ro, adjacent to edge but remote from corner. Per. Roarks Formulas for Stress and Strain |
| | Continuous Plate Supported on an Elastic Foundation of Modulus k (lb/in2/in) Stress and Deflection Equation and Calculator. Uniform loading over a small circle of radius ro, adjacent to corner. Per. Roarks Formulas for Stress and Strain |
| | Parallelogram plate (skew slab) all edges simply supported with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Parallelogram plate (skew slab) shorter edges simply supported, longer edges free with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Parallelogram plate (skew slab) all edges fixed with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Equilateral triangle; all edges simply supported with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Equilateral triangle plate; all edges simply supported with uniform loading over small circle of radius ro at x = 0; z = 0 Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Right-Angle Isosceles Triangle; all edges simply supported with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Regular polygonal plate; all edges simply supported with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Regular polygonal plate; all edges fixed with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain |
| | Rectangular plate, uniform load, clamped (Empirical) equations and calculator Rectangular plate, uniform load, clamped (Empirical) equations and calculator Symbols used: a = minor length of rectangular plate, (m, in) b = major length of rectangular plate, (m, in) p = uniform pressure loading, (N, lbs) v = Poisson???s ratio |
| | Rectangular plate, concentrated load at center, simply supported (empirical) equation and calculator Rectangular plate, concentrated load at center, simply supported (empirical) equation and calculator. The load is assumed to act over a small area of radius e. |
| | Concentrated load at center of Plate, clamped edges (empirical) equation and calculator Rectangular plate, circular concentrated load at center, clamped edges (empirical) equation and calculator. |
| | Baseplate with Large Moment to AISC LRFD Spreadsheet Calculator |
| | Moments and Reactions for Rectangular Plates using the Finite Difference Method This book of monograph presents a series of tables containing computed data for use in the design of components of structures which can be idealized as rectangular plates or slabs. Typical examples are wall and footing panels of counterfort retaining walls. The tables provide the designer with a rapid and economical means of analyzing the structures at representative points. The data presented, as indicated in the accompanying figure on the frontispiece, were computed for fivl: sets of boundary conditions, nine ratios of lateral dimensions, and eleven loadings typical of those encountered in design. |
| | Design Thickness of Pipe Blanks Caps Formula and Calculator per. ASME B31.5 |
Source: https://www.engineersedge.com/flat_plates_equations_calculators.htm
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