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Stress and Strain Analysis of Cracked Reinforced Concrete Panels
A critical review of the literature dealing with cracked reinforced concrete panels using the smeared cracking model is presented. The reinforcement of mild steel and/or prestressing steel is orthogonal and orthotropic. The panel is loaded by force components in its own plane; the normal forces Nx and Ny and the shear force Nxy. Some combination of these has cracked the panel, for example, in the case of the containment structure due to overpressure or an earthquake. When the stress-strain curve is assumed to be linear and the concrete cannot withstand tension it is possible to derive a neat fourth degree equation in the tangent or cotangent of the angle between the cracking direction and one of the reinforcement steel direction. This was done for the first time 20 years ago. This equation can be solved by iteration or even graphically. Later the stiffness and compliance matrices for the same problem were presented, especially involving shear strain for the latter. The combination of stresses determining cracking is presented. All these linear treatments are quite familiar to researchers. When the stress-strain curve of the concrete is assumed to be nonlinear and able to withstand tension, the analysis becomes, as expected, more difficult. For this approach the compression field theory and its modified version have been developed. Mohr's circles have proved to be effective in depicting stresses and strains; stress in the concrete, the steel and the composite structure may be represented. Certain examples are worked through manually.
Stress and Strain Analysis of Cracked Reinforced Concrete Panels
A critical review of the literature dealing with cracked reinforced concrete panels using the smeared cracking model is presented. The reinforcement of mild steel and/or prestressing steel is orthogonal and orthotropic. The panel is loaded by force components in its own plane; the normal forces Nx and Ny and the shear force Nxy. Some combination of these has cracked the panel, for example, in the case of the containment structure due to overpressure or an earthquake. When the stress-strain curve is assumed to be linear and the concrete cannot withstand tension it is possible to derive a neat fourth degree equation in the tangent or cotangent of the angle between the cracking direction and one of the reinforcement steel direction. This was done for the first time 20 years ago. This equation can be solved by iteration or even graphically. Later the stiffness and compliance matrices for the same problem were presented, especially involving shear strain for the latter. The combination of stresses determining cracking is presented. All these linear treatments are quite familiar to researchers. When the stress-strain curve of the concrete is assumed to be nonlinear and able to withstand tension, the analysis becomes, as expected, more difficult. For this approach the compression field theory and its modified version have been developed. Mohr's circles have proved to be effective in depicting stresses and strains; stress in the concrete, the steel and the composite structure may be represented. Certain examples are worked through manually.
Stress and Strain Analysis of Cracked Reinforced Concrete Panels
K. Paasikallio (author)
1992
140 pages
Report
No indication
English
Construction Equipment, Materials, & Supplies , Construction Materials, Components, & Equipment , Reinforced concrete , Cracking(Fracturing) , Stress analysis , Concrete durability , Mechanical properties , Stress strain diagrams , Matrices(Mathematics) , Stiffness , Stresses , Strains , Shear properties , Foreign technology
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