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. The calculator below can be used to calculate . Finishing and Plating Want to learn more about reactions, read on for a detailed guide on reaction forces. Engineering Book Store Gears Design Engineering 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. Figure 810 Approximate resultant applied force and reaction forces on the plate The deflection plot in Figure 86 shows that the deflection curvature . You will find further reading on this subject in reference publications(4 & 20), Fig 5. Reaction forces are the supporting forces that exist in a response to applied loads. Build custom shapes in our section builder, or load from common libraries such as AISC, AISI, Australian, European and Canadian libraries to name a few. Our calculator is easy and simple to use. There's even more functionality in the results page, including CSV exporting and Hand Calculations. In structural engineering, deflection is the degree to which a part of a structural element is displaced under a load (because it deforms).It may refer to an angle or a distance. SkyCiv Free Beam Calculator generates the Reactions, Shear Force Diagrams (SFD), Bending Moment Diagrams (BMD), deflection, and stress of a cantilever beam or simply supported beam. Alternatively, use our 'Import from Design Code' function to automatically assign the loads you created to the specific load combinations prescribed by your region's Design Code! The equations are only valid if the deflection is small compared to the plate thickness.equations are also only reasonably accurate if the thickness is less than 10% of the diameter. Further, it also limits the deflection that occurs due to the construction of finishes and partitions to Span/500. applied to the plate, W (N) =, Outer radius 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. Fluids Flow Engineering 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. Applications and Design You can learn more about the modulus of elasticity by checking out our stress calculator. 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. The plates may be loaded evenly (unevenly) on the whole surface . For a sample calculation of beam deflection, let us consider a simple wooden bench with legs 1.5 meters apart from each other at their centers. and bottom surfaces) remains unstressed; at other points there are The bending moment can be positive, negative, or zero depending on the direction and magnitude of the load and the location of the point of application. Check out our beam calculator based on the methodology described here. Solution for Calculate the Deflection & Slope at the Free End Using the Virtual Work Method. Beam deflection is the vertical displacement of a point along the centroid of a beam. This is because excessive deflection can result in unwanted aesthetic effects, such as sagging floors, cracking of finishes, or discomfort for the users. Think of it like a diving board. If this is a classroom lab experiment you might consider a 1" strip. One of these methods is the separation into a small deflection plate and a thin membrane described by a simple third order polynomial expression. Power Transmission Tech. Why customers love us Randy Mellon. SkyCiv offers a wide range of Cloud Structural Analysis and Design Software for engineers. interface. That's beam deflection in action! 7) Rectangular Plate , Simply supported, Concentrate load over small area 8) Rectangular Plate , Clamped, Concentrate load over small area 9) Circular Plate with Central Hole , Simply supported,Central Load 10) Circular Plate with Central Hole , Simply supported, Uniform Load Over Plate 11) Circular Plate with Central Hole , Clamped, Uniform Load Over Plate 12) Circular Plate with Central Hole ,Outer Edge Clampld, Uniform Load Over Plate, Calculation ReferenceMechanical Engineers Data Handbook Carvill Butterworth Hieneman Roarks Formulas for stress and strain Formulas for Stress, Strain, and Structural Matrice, US +1 617 5008224 It is able to calculate the reactions at supports for cantilever or simple beams. We call the amount of beam bending beam deflection. Use the sign convention to determine the direction of the shear force, where positive shear force is assumed to act upwards and negative shear force is assumed to act downwards. It can also be used as a beam load capacity calculator by using it as a bending stress or shear stress calculator. 3. Bending Moment Diagrams can be quickly and easily generated using the above calculator. Beam deflection is one of the serviceability criteria that engineers consider when designing structures. kN, kPa), method of (see above). Per. Per. Think of it like a diving board. Figure out math. Friction Formulas Apps Thermodynamics The solution in series. The plates are all assumed to be steel with a poisson's ratio of 0,3. Just consult the directions of the arrows in the formula's corresponding image to figure out which directions has a positive load value. Engineering Forum The calculation is designed for plates Clarify math tasks. When you stand on the end of the diving board, it bends and dips down. Answer (1 of 5): We commonly convert this 3D problem to a 2D problem by selecting a width of the plate. = 0.002585 m = 2.5850 mm. The response to strain is one dimensional stress in the direction of bending. This calculator computes the displacement of a simply-supported rectangular plate under a uniformly distributed load. Dik . SkyCiv Beam tool guides users along a professional beam calculation workflow, culminating in the ability to view and determine if they comply with your region's Design Codes. Engineering Calculators, Related: Please explain how you solve it. Hardware, Metric, ISO Per. We can consider this seat as a beam that will deflect whenever someone sits on the bench. This can be used to observe the calculated deflection of a simply supported beam or of a cantilever beam. Math can be tough to wrap your head . loading pressure over entire plate, q (N/mm, Total load Per. Uniform loading over small concentric circle of radius, Flat Rectangular Plate; all edges fixed. Heat Transfer The plates are all assumed to be steel with a poisson's ratio of 0,3. Deflections are assumed to be very small compared to the overall length of the beam. Rectangular Plate Calculator (deflection & stress) Unlike a disc ( circular plate ), where stresses and deflections are generally predictable owing to constant edge support, in a sheet (rectangular plate) - where edge supports vary - they are much less predictable. (meters, Assume a 48 inch diameter, 0.5 inch thick, aluminum circular plate, with a simply-supported circumference. The formulas show that the stiffer the beam is, the smaller its deflection will be. Solve My Task. Powerful hand calculation modules that show the step by step hand calculations (excluding hinges) for reactions, BMD, SFD, centroids, moment of inertia and trusses! The magnitude and location of these loads affect how much the beam bends. In order to better understand a math task, it is important to clarify what is being asked. For simplicity, the free tool only takes the materials Young's Modulus, however our full version will also take in Yield/Ultimate Strength, Density and Poisson's Ratio. by Skype or Per. Note: I have checked the results from some of the equations against results using Mitcalc.com . In the USA we would use a 12" wide strip of the plate and analyze it as a 12" wide beam. It's often helpful to look at a simple example. However, these formulas can only solve simple loads and a combination of these loads. Rectangular Flat Plate , concentrated load at centre,edge simply supported. After selecting your section, you have the opportunity to add any hinges along the beam span under the 'Hinge' menu. I = 20,000 cm. Clarify math tasks . Deflection limit for both permanent and variable is span/200 = 7200/200 = 36mm > 35.9mm . Plates have free, simply supported or fixed boundary conditions. The loading scenario for the simply supported rectangular plates assume that the upper edges of the loaded surface are restrained from lifting such that all of the edges are in contact during the the loading condition. Calculating complicated loads would require us to use what is known as the double integration method. Poisson's ratio has been assumed to be 0 unless stated otherwise in the notation section. Calculate reactions, shear force, bending moment, deflection and stress for cantilever or simply. Using Plates spreadsheet and as soon as I input any figures the stress results change to #Name? Hello,Just a query regarding equation 7 on this spreadsheet. HVAC Systems Calcs Check out 19 similar materials specifications calculators . A 6-m simply supported parabolic beam having a width of 400 mm and height of 500 mm is reinforced with 4-32 mm placed 100 mm from the bottom of the beam. Tackle any project with this powerful and fast beam software. Rectangular plate deflection calculator - One instrument that can be used is Rectangular plate deflection calculator. 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. Roarks Formulas for Stress and Strain, Copyright 2000 - 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. Open the 'Load Combinations' menu to apply different factors for each Load Case. relationship between beam deflection and applied external forces. (inches, kips, ksi), Metric Please note that most of the calculators do require a premium membership for full functionality. Machine Design Apps (14 plate arrangements are included) Purpose of Calculation Flat Plate Stress Calcs The behavior of a plate supported on only two opposing sides with loads that are uniform along the width of the plate is identical to that of a beam, so the standard beam deflection equations can be used. A very simple set of calculations to establish the maximum stress and deflection in flat plates under a variety of support and loading conditions. Welding Stress Calculations Per. deflection of a constrained rectangular plate By this I assume you mean that all edges are fixed. ** Search this PAGE ONLY, click on Magnifying Glass **, Flat Rectangular Plate Uniformly Increasing Loading Along Length Stress and deflection Equation and Calculator. The above calculation is based on the first 2 2 = 4 terms of the series solution. Select a beam and enter dimensions to get started. Any reliance you place on such information is therefore strictly at your own risk. Calculating beam deflection requires knowing the stiffness of the beam and the amount of force or load that would influence the bending of the beam. They are usually comprised of the following reaction forces (assuming forces are applied in vertical and horizontal directions: The beam span calculator will easily calculate the reactions at supports. The plates may be circular, annular circular and rectangular. Manufacturing Processes MATERIALS PROPERTIES OTHER CALCULATORS Using the formulas that you can also see in our moment of inertia calculator, we can calculate the values for the moment of inertia of this beam cross-section as follows: I = width height / 12 ANNULUS PLATE DEFLECTION. Total deflection = 5 x (17.7+7.5) x (7.210 3) 4 /384 x 210 x 10 3 x 11700 x 10 4 = 35.9mm. Per. The middle surface (halfway between top A shear force diagram is a valuable tool used in structural engineering to represent the distribution of shear force along a beam or any other structural element. Large deflection of rectangular plates under transverse pressure is described by Fppl-von Krmn equations, which have only approximated solutions. stress and deflection in flat plates under a variety of Pumps Applications Applications and Design Deflections are assumed to be very small compared to the overall length of the beam. It features only two supports, one at each end. 1. superposition. In a simply supported beam, the only horizontal force is the 5kN/m force, which when multiplied by the length of the member (L = 10) we get 5*10 = 50 kN. Available support types include: Use the 'Section' menu to apply a custom Moment of Inertia (Iz) or Young's Modulus (E) value. The simplest form of this equation is as follows: The Shear Force and Moment can be expressed, respectively, as: We use these equations along with the boundary conditions and loads for our beams to derive closed-form I = 45,000 cm, I = height width / 12 The deflection of a beam with a concentrated load at its midspan is $$\delta = \dfrac {F\ell^3} {48EI}$$ Try some of our Buckling of Rectangular Plate. The neutral axis is an imaginary line along the center of the cross-section of the beam where there is no change in the length of the fibers. I = 30 (4)/12 The Euler-Bernoulli equation describes a used in calculation, ro_prime (mm) =, Total load Calculate reactions, shear force, bending moment, deflection and stress for cantilever or simply supported beams. Training Online Engineering, Flat Plates Stress, Deflection Equations and Calculators, Beams Deflection, Stress and Loading Equations and Calculators, Theoretical Mechanics, Kinematics, Dynamics and Static's, Section Inertia Properties Equations Calculators, Engineering Materials Specifications Resources, Circular plate, uniform load, edges simply supported equation and calculator, Circular plate, uniform load, edges clamped equation and calculator, Circular Plate Concentrated Load Floating Equation and Calculator, Circular Plate Concentrated Load Edges Fixed Support Equation and Calculator, Rectangular plate, uniform load, simply supported equations and calculator, Flat Rectangular Plate with All Edges Simply Supported Stress and Deflection, Flat Rectangular Plate with All Edges Simply Supported Stress and Deflection with circular Load applied, 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, Flat Rectangular Plate Uniformly Increasing Loading Along Width Stress and deflection Equation and Calculator, Flat Rectangular Uniform over entire plate plus uniform tension or compression, Flat Rectangular Uniform over entire plate plus uniform over entire plate plus uniform tension, Flat Rectangular Plate; Three Edges Simply Supported, one Edge (b) Free Stress and Deflection With Uniform Force over Entire Plate Equation and Calculator, 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, 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, Flat Rectangular Plate; two long edges fixed, two short edges simply supported Uniform loading over entire plate Stress and Deflection Equation and Calculator, Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported Uniform loading over entire plate, 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, Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading 1/3 of plate, Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to free edge, Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing, Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading, Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading distributed line load, Flat Rectangular Plate; all edges fixed. Flat plate behavior: The plate deflects. Since we are considering the deflection of the beam when it bends vertically or around the x-axis, we have to use I for our computations. A method is for efficiently determining a very large number of terms in the series. 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. For plates loaded with uniformly distributed normal force, the maximum stress and maximum deflection can be represented by simple relations by the use of a series of constants which depend upon the plate geometry and loading. Simply supported beam calculator Fixed beam calculator Fixed-pinned beam calculator Simply supported beam diagrams Moments of Inertia Table All Moment of Inertia tools All calculators on Statics x Calculation options: Number of digits: 10xnotation for big numbers: Cantilever beam calculator - By Dr. Minas E. Lemonis, PhD- Updated: June 27, 2020 Rectangular Flat Plate , uniform load ,edge simply supported. Steel plate bending strength calculator - We will show you how to work with Steel plate bending strength calculator in this blog post. We make elegant, powerful structural engineering and structural analysis software. Find the volume and weight of limestone rocks you will need for your project using this easy-to-use limestone calculator. a = shortest span length, in or mm b = longest span length, in or mm E = modulus of elasticity, psi or MPa M i = maximum bending moment, lbf.in/in or Nmm/mm t = plate thickness, mm or in w = load per unit area, psi or MPa = deflection or deformation, in or mm i = length to width ratio coefficient = maximum strress, psi or MPa Note that for a curvilinear boundary it is [6,7] (6.83) where is the curvature of the boundary. Simply supported beam calculator Other Calculators Fixed Beam Calculator Propped Cantilever Calculator Simply Supported beam Calculator Cantilever Beam Calculator Simply supported rectangular plate with point load. Input your beam length using the 'Beam' menu. Let us say we have a 4-cm thick, 30-cm wide eastern white pine plank that acts as the seat for this bench. File Size: 857.50 Kb. such line is proportional to the distance from the middle surface. Beams of Uniform Cross Section, Loaded Transversely, Flat Plates Stress, Deflection and Reactionary Loading Equations and Calculators, Uniform over Per. To calculate the maximum deflection of a beam with a combination of loads, we can use the method of superposition. The maximum bending moment at the middle is M x = M y = 0.0479p z L 2 ; this is 38% of the bending moment of a simply supported beam (0.125p z L 2 ). Links for all the various Calculators we have produced, they are mainly related to different fields of engineering. Beam Designer tool. The in-plane plate dimensions are large compared to the thickness. To calculate the reaction forces, we can use the following steps: Fy = 0 This calculation deals with the deflection, stress and variation of forces in the loaded flat plates. Loading a section is instant, and users can even make the most of powerful search functionality to help you find what you're looking for. Engineers can also use empirical formula to quickly calculate the deflection of a beam which is what we'll use for the below example: Lets consider a simple supported beam with a span of a uniform load of w = 10 kN/m over a L = 10m span, and the following material properties: Youngs modulus, E = 200,000 MPa, and the moment of inertia about the y axis is I = 0.0015 m^4. Deflection. you're better off solving the problem numerically with one of our finite element analysis tools. Electronics Instrumentation Per. Videos Design Manufacture An interactive drawing area allows you to design complex, multi-span beams in minutes. 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. Flat Plate Stress Calcs FFSS) You'll be greeted with a super easy to use results page that includes the following functionality: Download a customised selection of the above results in a formatted PDF report. Easy to use online statically indeterminate beam calculator. Stress = 1.97576308103 MPa 1.98 MPa = 1.97576308103 MPa 1.98 MPa Per. Per. A bending moment diagram is an important tool for engineers because it allows them to understand the behavior of the beam under load and to design the beam to resist the loads safely and efficiently. Plastics Synthetics The static or dynamic loads carried by plates are predominantly perpendicular to the plate surface. The deflection of a beam (beam deflection) is calculated based on a variety of factors, including materials, the moment of inertia of a section, the force applied, and the distance from support. To calculate a bending moment diagram using the above beam load calculator, simply: Enter Beam Length Add supports (two supports for simply supported, single Fixed support for cantilever) Apply forces (or toggle on Self Weight) Run Calculate which will generate the bending moment diagram of the beam: Bending moment formulas The final form of the solution for the plate deflection is (6.2.11) w ( r) = p o R 4 64 D [ 1 ( r R) 2] 2 For comparison, the solution for the simply supported plate will be derived. Electric Motor Alternators We automatically calculate self weight based on your chosen beam length, material, and section shape. A very simple set of calculations to establish the maximum Start your free ClearCalcs trial to unlock saving and export, as well as even more calculators for wood, steel, and concrete beams, columns, and footings. wmax = w(lx/2, ly/2) = 0.0172988270109 mm Shear force calculator online . Here is how the Allowable Bending Stress given Plate Thickness calculation can be explained with given input values - 15.84375 = (0.75*50000000*(0.035-2*0.05)^ Do My Homework Beam Deflection on Steel Plate This calculator computes the displacement of a simply-supported rectangular plate under a uniformly distributed load. There are available on another page on our website called Bending Moment Formula. SkyCiv Engineering. These can be simplified into simple deflection formula for quick back of the envelope calculations. To help you find your way around this helpful and comprehensive guide to Reactions, Deflection and Shear and Moment Diagrams, we've put together a table of contents: Welcome to our Free Beam Calculator! If the radial location of loading is. For instance, as a steel beam calculator the user would enter in a Young's Modulus of about 200,000 MPa (or 29,000 ksi for imperial units). very convenient initial estimates of plates strengths to The above displacement is based on the first 2 2 = 4 terms of the series solution. You can do so using the 'Load Case' drop down menu before adding each respective load. This beam calculator is designed to help you calculate . therefore the intensity of either principal stress at points on any The deflection of the beam can be calculated using the equation, taken from SkyCiv's Beam Deflection Formula page. The plates may be circular, annular circular and rectangular. 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. plates under a variety of support and loading conditons. Vibration Engineering Engineering Calculators Menu Engineering Analysis Menu. Length of beam : meters. Distributed loads are similar to pressure but only consider the beam's length and not the beam's width. This calculator is based on Euler-Bernoulli beam theory. Simply supported rectangular plate with point load. Downloads Civil Engineering Design multi-span beams with complex loads with WebStructural's intuitive Use it to help you design Then scroll down to see shear force diagrams, moment The moment of inertia represents the amount of resistance a material has to rotational motion. Engineering Calculators Provides support reactions, bending moment, shear force, deflection and stress diagrams. you're not . 6) Rectangular Plate , Clamped, Uniform Load . Use the 'Analysis' tab to view various criteria, such as: Use the 'Design' tab to instantly check the beam against your region's specific code requirements! 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. The Uniform Decreasing Loading Parallel to Side b Stress and Deflection, Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Over Entire Plate Stress and Deflection Equation and Calculator, Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Uniform Loading over 2/3 of plate, Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Uniform Loading over 1/3 of plate, Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing, Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing from fixed edge to zero at 2/3b, Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing from fixed edge to zero at 1/3b, Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Supported Loading Uniformly Over Entire Plate, Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniform over 2/3 of Plate from Fixed Edge Equation and Calculator, Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniform over 1/3 of Plate, Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at free edge, Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at 2/3b. 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. The present study presents an analysis to obtain analytical expressions for its coefficients by . Free Microsoft Excel viewer software can also be used to view the .xls files. This is so handy if you picked a section size too big or too small and would like us to help you decide. The above beam calculator is able to analyse a range of beam types - including i beams, channels, hollow rectangular and even custom shapes. The supports are located at points A and B. 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. Circular Plate , uniform load , edges clamped . Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at 1/3b Equation and Calculator. The coffee kick calculator will tell you when and how much caffeine you need to stay alert after not sleeping enough Check out the graph below! The calculations allow Self-weight of the plate has been ignored and should be taken into account in practice. It's often helpful to look at a simple example. This is because excessive deflection can result in unwanted aesthetic effects, such as sagging floors, cracking of finishes, or discomfort for the users. two fixed ends or the load will be supported on both ends. Draw a free-body diagram of the beam, showing all the loads and the supports. So we can verify the results using the above calculator: A bending moment diagram is a graphical representation of the bending moment along a structural member, such as a beam. Suppose a 400 N child sits in the middle of the bench. Hydraulics Pneumatics Economics Engineering Stress max = 0.175966540277 MPa 0.176 MPa Displacement wat loading = w ( a, b) = 0.175163322221 mm 0.175 mm The above displacement is based on the first 2 2 = 4 terms of the series solution.

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