Moment and Stress Analysis Solutions of Clamped Rectangular Thick Plate

Ibearugbulem, O. M.; Onyeka, F. C.

doi:10.24018/ejers.2020.5.4.1898

Cited by 8 publications

(20 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [13], the authors applied polynomial shear deformation theory (PSDT) in analyzing isotropic thick plate. The stress solution deduced is devoid of analytical fluff, but did not consider critical lateral loads in anticipating responses of applied loads that could lead to failure on the structures.…”

Section: Elastic Yielding Pointmentioning

confidence: 99%

“…In [14], PSDT was utilized for the analysis of critical lateral loads in anticipating responses of applied loads for rectangular thick plates. These studies [13], [14] neither checked for the effect of shear stress, nor worked for other boundary conditions.…”

Section: Elastic Yielding Pointmentioning

confidence: 99%

“…The total potential energy (Π) of a plate is given as [13]: Π = + , (10) given that and are the strain energy and external work respectively; expressed in equations (11) and (12); where, is the uniformly distributed load, , and denotes normal strain along x-axis and y-axis, respectively; and , and denotes shear strain along x-y, x-z and y-z axis, respectively. Thus, the total potential energy of a plate is given in equation 13.…”

Section: The Total Potential Energy Equationmentioning

confidence: 99%

“…General governing equation: Differentiating the total potential energy equation (13) with respect to , and , gives:…”

Section: Governing Energy Equationmentioning

confidence: 99%

See 3 more Smart Citations

Analysis of critical imposed load of plate using variational calculus

Onyeka

Okeke

2021

J. Adv. Sci. Eng.

View full text Add to dashboard Cite

This work studied the critical load analysis of rectangular plates, carrying uniformly distributed loads utilizing direct variational energy calculus. The aim of this study is to establish the techniques for calculating the critical lateral imposed loads of the plate before deflection attains the specified maximum threshold, qiw as well as its corresponding critical lateral imposed load before the plate reaches an elastic yield point. The formulated potential energy by the static elastic theory of the plate was minimized to get the shear deformation and coefficient of deflection. The plates under consideration are clamped at the first and second edges, free of support at the third edge and simply supported at the fourth edge (CCFS). From the numerical analysis obtained, it is found that the critical lateral imposed loads (qiw and qip) increase as the thickness (t) of plate increases, and decrease as the length to width ratio increases. This suggests that as the thickness increases, the allowable deflection improves the safety of the plate, whereas an increase in the span (length) of the plate increases the failure tendency of the plate structure.

show abstract

Section: Elastic Yielding Pointmentioning

confidence: 99%

Section: Elastic Yielding Pointmentioning

confidence: 99%

Section: The Total Potential Energy Equationmentioning

confidence: 99%

“…General governing equation: Differentiating the total potential energy equation (13) with respect to , and , gives:…”

Section: Governing Energy Equationmentioning

confidence: 99%

See 2 more Smart Citations

Analysis of critical imposed load of plate using variational calculus

Onyeka

Okeke

2021

J. Adv. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…The authors in [16], used polynomial shear deformation theory (PSDT) for the analysis of rectangular plates. Their theory incorporates the effect of transverse shear stress and shear deformation in the analysis.…”

Section: Previous Workmentioning

confidence: 99%

Strain–Displacement Expressions and their Effect on the Deflection and Strength of Plate

Onyeka¹,

Okeke²,

John³

2020

Adv. sci. technol. eng. syst. j.

View full text Add to dashboard Cite

This paper studied the bending analysis of an isotropic rectangular plate for the effects of aspect ratio, shear and deflection on the critical lateral load of the plates using the polynomial shear deformation theory (PSDT). One of the plate is clamped at opposite edge clamped and the other opposite edge simply supported (CSCS). The other of the plate is simply supported at the first and fourth edge, clamped at second edge and free of support at the third edge (SCFS). Direct variational method of analysis was adopted using straindisplacement expressions to obtain the direct governing equations for the determination of the coefficient of deflection and shear deformation along the direction of x and y coordinate. From the established equation, a new model for determination of the critical lateral imposed load of the plate is developed. The study revealed that: (i) as the specified thickness of the plate increases, the value of critical lateral imposed load increase (ii) the critical lateral imposed load decrease as the plates span increases. Numerical comparison was conducted to verify and demonstrate the efficiency of the present theory. The result obtained are in good agreement with those in the literature.

show abstract

Analytical Solution of Thick Rectangular Plate with Clamped and Free Support Boundary Condition using Polynomial Shear Deformation Theory

Onyeka¹,

Okeke²

2021

Adv. sci. technol. eng. syst. j.

View full text Add to dashboard Cite

In this paper, a new polynomial shear deformation theory for the static flexural analysis of anisotropic rectangular thick plate was developed. The plate which carries a uniformly distributed load is clamped on the three edges, and free of support on the other edge (CCFC), is analyzed to determine the in-plane displacement, vertical displacement, bending moment, and shear force, bending and transverse shear stress. The General variation approach was used to obtain the general governing equation and its associated boundary conditions, thereafter the coefficient of deflection and shear deformation along the direction of x and y coordinate was determined by minimizing the energy equation obtained using the new established theory. The study revealed that: (i) as the displacement and stress decrease, the plate's span-thickness ratio increases (ii) as the length to breadth ratio of the plate increases, the value of displacement and stresses increase. To validate the theory, the numerical results are obtained and compared with an available solution in the literature. The result showed good agreement with those in the literature.

show abstract

Moment and Stress Analysis Solutions of Clamped Rectangular Thick Plate

Cited by 8 publications

References 0 publications

Analysis of critical imposed load of plate using variational calculus

Analysis of critical imposed load of plate using variational calculus

Strain–Displacement Expressions and their Effect on the Deflection and Strength of Plate

Analytical Solution of Thick Rectangular Plate with Clamped and Free Support Boundary Condition using Polynomial Shear Deformation Theory

Contact Info

Product

Resources

About