ESDU 80027
Elastic stress concentration factors. Single reinforced and unreinforced holes in infinite plates of isotropic materials.
Abstract:
ESDU 80027 presents data on the stress concentrations that occur around circular, elliptical, triangular, square or rectangular holes in flat plates under various combinations of loads in the plane of the plate. Data are also provided on the stress concentration when uniform section reinforcement is provided around the perimeter of the hole. For robust reinforcement around circular holes the stress concentrations at both the hole boundary and at the platetoreinforcement junction are provided. For lightweight reinforcement the critical concentration is that associated with the platetoreinforcement junction and this alone is provided. Data on the approximate equivalent symmetric area of unsymmetric reinforcement are provided together with notes and examples on their application in assessing the stress concentration in practical structures.
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Indexed under:
 Circular Holes in Flat Plates
 Elliptical Holes in Flat Plates
 Pipes
 Rectangular Holes in Flat Plates
 Reinforced Circular Holes in Flat Plates
 Reinforced Circular Holes Near Edge of Flat Plates
 Reinforced Elliptical Holes in Flat Plates
 Reinforced Square Holes with Rounded Corners in Flat Plates
 Reinforced Triangular Holes in Flat Plates
 Square Holes with Rounded Corners in Flat Plates
 Stress Concentration
 Triangular Holes with Rounded Corners in Flat Plates
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Data Item ESDU 80027  

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This Data Item contains 37 interactive graph(s) as listed below.
Graph  Title 

Figure 3.1a  Plate under biaxial direct stresses only 
Figure 3.1b  Plate under biaxial direct stresses only 
Figure 3.2  Plate under shear stress and uniaxial direct stress 
Figure 3.3  Stress at points 1 
Figure 3.4  Stress at points 2 
Figure 4.1  f_{y} = 0, q = 0 (uniaxial direct stress) 
Figure 4.2  f_{y}/f_{x} = 1, q = 0 (equal biaxial direct stress) 
Figure 4.3  f_{y}/f_{x} = 1/2, q = 0 (unequal biaxial direct stress) 
Figure 4.4  f_{x} = 0, f_{y} = 0 (pure shear) 
Figure 4.5  Part 1  
Figure 4.5  Part 2  
Figure 5.1  f_{2}/f_{1} = 1 (equal biaxial direct stress) 
Figure 5.2  f_{2}/f_{1} = 1/2 (unequal tensile or unequal compressive stresses) 
Figure 5.3  f_{2}/f_{1} = 0 (uniaxial direct stress) 
Figure 5.4  f_{2}/f_{1} = 1/2 (unequal tensile and compressive stresses) 
Figure 5.5  f_{2}/f_{1} = 1 (equal tensile and compressive stresses)(pure shear) 
Figure 6.1  f_{y} = 0, q = 0 (uniaxial direct stress) 
Figure 6.2  f_{y}/f_{x} = 1, q = 0 (equal biaxial direct stresses) 
Figure 6.3  f_{y}/f_{x} = 1/2, q = 0 (unequal biaxial direct stresses) 
Figure 6.4  f_{x} = 0, f_{y} = 0 (pure shear) 
Figure 7.1  f_{y} = 0, q = 0 (uniaxial direct stress) 
Figure 7.2  f_{y}/f_{x} = 1, q = 0 (equal biaxial direct stresses) 
Figure 7.3  f_{y}/f_{x} = 1/2, q = 0 (unequal biaxial direct stresses) 
Figure 7.4  f_{x} = 0, f_{y} = 0 (pure shear) 
Figure 7.5  
Figure 7.6  f_{x} = 1, f_{y} = q = 0 (uniaxial direct stress) 
Figure 7.7  f_{y} = 1, f_{x} = q = 0 (uniaxial direct stress) 
Figure 7.8  f_{x} = f_{y} = 1, q = 0 (equal biaxial direct stress) 
Figure 7.9  f_{x} = 1, f_{y} = 1/2, q = 0 (unequal biaxial direct stress) 
Figure 7.10  f_{x} = 1/2, f_{y} = 1, q = 0 (unequal biaxial direct stress) 
Figure 7.11  f_{x} = 0, f_{y} = 0, q = 1 (pure shear) 
Figure 8.1  Symmetrical flange reinforcement 
Figure 8.2  Unsymmetric flange reinforcement h_{r}/t_{r} = 3 
Figure 8.3  Unsymmetric flange reinforcement h_{r}/t_{r} = 4 
Figure 8.4  Unsymmetric flange reinforcement h_{r}/t_{r} = 5 
Figure 8.5  Unsymmetric flange reinforcement h_{r}/t_{r} = 7 
Figure 8.6  Unsymmetric flange reinforcement h_{r}/t_{r} = 10 