Can you write a theoretical frameork of mechanics of curved beams with references cited in apa?
Best insight from top research papers
A theoretical framework for the mechanics of curved beams has been developed in several papers. Barretta et al. investigated the size-dependent static behavior of curved elastic nano-beams using stress-driven nonlocal continuum mechanics . Piovan and Cortínez developed a theoretical model for the generalized linear analysis of composite thin-walled curved beams, incorporating full shear deformability and different constitutive hypotheses . Yang reviewed the theories of buckling for horizontal curved beams and proposed the use of straight beam elements, referred to as semitangential elements, for predicting buckling loads . Ke summarized progress on curved beam elements and demonstrated that straight beam elements can be used in the nonlinear analysis of curved beam structures . Rajasekaran and Padmanabhan formulated the equations for thin-walled curved beams using the principle of virtual work and compared their results with other theories .
Answers from top 5 papers
More filters
| Papers (5) | Insight |
|---|---|
104 Citations | The paper formulates the equations of curved beams using the principle of virtual work and compares them with existing theories. |
| The paper provides a review of the theories of buckling for curved beams and proposes the use of straight beam elements as a reliable tool for predicting buckling loads. | |
Open access•Journal Article 1 Citations | The paper summarizes progress on curved beam elements and argues that straight beam elements can be used in the nonlinear analysis of curved beam structures. |
| The paper presents a theoretical framework for the mechanics of curved beams using stress-driven nonlocal continuum mechanics. | |
53 Citations | A new theoretical model is developed for the analysis of composite thin-walled curved beams, incorporating shear deformability and different constitutive hypotheses. |
Related Questions
What are the current trends and advancements in the design and construction of reinforced concrete curved beams?5 answersThe current trends and advancements in the design and construction of reinforced concrete curved beams include the use of composite reinforced concrete beams with steel T-sections as shear connectors. These beams have shown increased load carrying capacity compared to ordinary reinforced concrete beams. Additionally, the behavior of both vertical and horizontal curved beams has been investigated, considering parameters such as installation position, shaped curvature, cross-section width, and shear-span to depth ratio. Finite Element Analysis has been used to study these parameters and validate the results with experimental tests. Furthermore, the inclusion of longitudinal compressive action in the inclined part of curved beams has been found to increase crack resistance and shear resistance. Experimental studies have been conducted to assess the magnitude of this compressive action and its influence on the stress-strain state of the support zone of the beams.
What are the mechanical properties of reinforced concrete circular T-shaped deep beams?5 answersReinforced concrete circular T-shaped deep beams have been studied for their mechanical properties in several papers. The behavior of these beams under different loading conditions and with various design modifications has been investigated. Studies have shown that the presence of circular cavities in the web of the beam can affect its flexural behavior, reducing the load capacity and ultimate strength. Additionally, the introduction of large openings in the web of the beam can increase the transient deflection and strains, while also affecting the beam's damping characteristics. The use of near surface mounted (NSM) reinforcement schemes and the application of CFRP bars have been proposed as methods to improve the shear capacity and relieve strain concentration in deep T-beams. Furthermore, the use of fiber-reinforced concrete (FRC) in deep beams has shown improvements in mid-span deflection and shear strength compared to reinforced concrete (RC) beams.
How beams are designed?4 answersBeams are designed using various methods and techniques. Optimization and Finite Element Analysis (FEA) are two important tools used by researchers for beam design. Optimization aims to obtain the most useful results for specific purposes under certain conditions and restrictions, and it can be divided into sub-branches such as shape, size, and topology optimization. Stochastic optimization algorithms, inspired by nature, are also used for beam design. FEA is used to simulate designed objects by dividing them into small substructures and obtaining their real behavior. Some FEA software allows integration with different programming languages, enabling the use of various algorithms. In engineering practice, software development is used to improve the efficiency and reliability of beam design. This includes mechanical analysis, parameterized design, and generating design reports. Wooden beams, also known as bending members, have their own design considerations, including bending, shear, and bearing stresses, as well as deflection caused by these stresses. Special wooden beams, such as box beams and composite beams, are also designed.
What is the strain theory?5 answersStrain theory is a broad theory that explains crime and delinquency by focusing on the role of social-psychological strain. It highlights the unique contribution of strain in comparison to control and learning theories, emphasizing the importance of individual traits and situational variables in understanding crime. Strain theory suggests that certain features of the social environment, intervening mechanisms, and individual traits are neglected by other theories in explaining the predisposition to delinquency. It also explores the concept of vicarious strain, which refers to the stress experienced when witnessing the unfair treatment of others. General strain theory (GST) expands on classic strain theories by considering a wider range of strains and factors that influence the likelihood of criminal coping. GST has received empirical support and has rejuvenated research on strain in criminology.
How can torsion be minimized in beams?3 answersTorsion in beams can be minimized through various methods. One common approach is the use of lateral bracings. These bracings help prevent lateral torsional buckling and increase the torsional resistance of the beam. Another method is the use of side plates, which can also enhance the torsional resistance of I-shaped steel beams. Additionally, the inclusion of a cover plate at the beam end can strengthen it and prevent premature failure. Another factor to consider is the design of the beam itself, such as using a pretwisted beam or considering the effects of Poisson's ratio. Overall, a combination of proper bracing, design considerations, and the use of side plates or cover plates can help minimize torsion in beams.
How do you calculate buckling in a beam?4 answersBuckling in a beam can be calculated using various methods. One approach is to use the energy method, as proposed by Yazyev. This method involves setting the twist angle function in the form of a trigonometric series and reducing the problem to a generalized eigenvalue problem. Another method is to employ a higher order beam theory, as described by Argyridi and Sapountzakis. This theory takes into account warping and distortional phenomena due to axial, shear, flexural, and torsional behavior of the beam. It involves performing a cross-sectional analysis using the Boundary Element Method and a buckling analysis using the Finite Element Method. Additionally, Hariz, Le Marrec, and Lerbetpresent buckling solutions for a Timoshenko beam surrounded by an elastic wall modeled by two-parameter elastic foundations. They perform a non-dimensional analysis and provide analytical expressions for buckling stress and shape.