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Contents1 Introduction 11.1 The Basic Status of Rectangular Thin Plate Thermal Problems 21.1.1 Thermal Bending of Rectangular Thin Plate 21.1.2 Thermal Buckling of Rectangular Thin Plate 31.1.3 Thermal Vibration of Rectangular Thin Plate 41.2 The Necessity of Concrete Rectangular Thin Plate 41.3 The Main Contents of the Book 61.3.1 Thermal Bending of Concrete Rectangular Thin Plate 61.3.2 Thermal Buckling of Concrete Rectangular Thin Plate 71.3.3 Thermal Vibration of Concrete Rectangular Thin Plate 82 Thermal Bending of Concrete Rectangular Thin Plate with Four Supported Edges 92.1 Introduction 92.2 The Basic Equation for the Thermal Elastic Problem of Rectangular Thin Plate 122.2.1 Calculation Assumption 122.2.2 Basic Equation of Thermal Elasticity 122.3 Thermal Bending of Rectangular Thin Plate with Four Edges Simply Supported 152.3.1 Boundary Conditions 152.3.2 The Analytical Solution of the Thermal Elastic Problem 152.3.3 Results Analysis 182.3.4 Engineering Design 182.3.5 Numerical Example 192.4 Thermal Bending of Rectangular Thin Plate with Four Edges Clamped 222.4.1 Boundary Conditions 222.4.2 Analytical Solution of Thermal Elastic Problem 232.4.3 Result Analysis 272.5 Thermal Bending of Rectangular Thin Plate with One Edge Simply Supported and Three Edges Clamped 282.5.1 Boundary Conditions 282.5.2 Analytical Solution for Thermal Elastic Problems 282.5.3 Result Analysis 312.6 Thermal Bending of Rectangular Thin Plate with Three Edges Simply Supported and One Edge Clamped 312.6.1 Boundary Conditions 312.6.2 Analytical Solution for Thermal Elastic Problems 322.6.3 Results Analysis 352.7 Thermal Bending of Rectangular Thin Plate with Two Adjacent Edges Simply Supported and Two Opposite Edges Clamped 352.7.1 Boundary Conditions 352.7.2 Analytical Solution for Thermal Elastic Problems 362.7.3 Results Analysis 392.8 Thermal Bending of Rectangular Thin Plate with Two Opposite Edges Simply Supported and Two Opposite Edges Clamped 392.8.1 Boundary Conditions 392.8.2 Analytical Solution for Thermal Elastic Problems 392.8.3 Results Analysis 423 Thermal Bending of Concrete Rectangular Thin Plate with Free Boundary 453.1 Introduction 453.2 Thermal Bending of the Concrete Rectangular Thin Plate with Three Edges Simply Supported and One Edge Free 473.2.1 Boundary Conditions 473.2.2 Analytic Solution for the Rectangular Thin Plate with Three Edges Simply Supported and One Edge Free Under the Deflection w1|y=b 473.2.3 Analytical Solution of the Rectangular Thin Plate With Three Edges Supported and One Edge Free Under the Action of DT 493.2.4 Results Analysis 523.3 Thermal Bending of the Concrete Rectangular Thin Plate with Three Edges Clamped and One Edge Free 523.3.1 Boundary Conditions 523.3.2 Analytical Solution for the Thermal Elastic Problem 543.3.3 Results Analysis 583.3.4 Numerical Example 583.4 Thermal Bending of Concrete Rectangular Thin Plate with Two Opposite Edges Clamped and One Edge Simply Supported and One Edge Free 613.4.1 Boundary Conditions 613.4.2 Analytical Solution for the Thermal Elastic Problem 633.4.3 Results Analysis 673.5 Thermal Bending of Concrete Rectangular Thin Plate with Two Adjacent Edges Clamped and One Edge Simply Supported and One Edge Free 683.5.1 Boundary Conditions 683.5.2 Analytical Solution for the Thermal Elastic Problem 693.5.3 Results Analysis 743.6 Thermal Bending of Concrete Rectangular Thin Plate with Two Opposite Edges Simply Supported and One Edge Clamped and One Edge Free 753.6.1 Boundary Conditions 753.6.2 Analytical Solution for the Thermal Elastic Problem 763.6.3 Results Analysis 803.7 Thermal Bending of the Concrete Rectangular Thin Plate with Two Adjacent Edges Simply Supported and One Edge Clamped and One Edge Free 813.7.1 Boundary Conditions 813.7.2 Analytical Solution for the Thermal Elastic Problem 833.7.3 Results Analysis 894 Thermal Buckling of the Concrete Rectangular Thin Plate 914.1 Introduction 914.2 Equilibrium and Buckling Equations of Rectangular Thin Plate 924.2.1 Geometric Equation 924.2.2 Physical Equation 924.2.3 Equilibrium and Buckling Equations 944.3 Thermal Buckling Temperature of Concrete Rectangular Thin Plate 954.3.1 Calculation Parameters 954.3.2 Buckling Critical Temperature 964.3.3 Numerical Examples 984.4 Thermal Buckling of Concrete Rectangular Thin Plate on the Elastic Foundation 1004.4.1 Equilibrium and Buckling Equations 1004.4.2 Thermal Buckling of Thin Plate Under the Uniform Temperature Change 1004.4.3 Numerical Examples 1014.4.4 Thermal Buckling of Concrete Rectangular Thin Plate on Elastic Foundation in the Case of the Transverse Temperature 1045 Thermal Vibration of Concrete Rectangular Thin