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Structural Mechanics: Modelling and Analysis of Frames and Trusses by Karl–Gunnar Olsson , Ola Dahlblom Book Details
Book Name | Structural Mechanics: Modelling and Analysis of Frames and Trusses |
Author | Karl–Gunnar Olsson , Ola Dahlblom |
Category | Civil Engineering Books, Education Books |
Book Language | English |
Pages | 341 |
ISBN | 9781119159339 |
Country | India |
Book Size | 9 MB |
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About Structural Mechanics: Modelling and Analysis of Frames and Trusses by Karl–Gunnar Olsson , Ola Dahlblom Book
Structural mechanics involves the analysis and design of structures to ensure they can withstand the loads and forces they are subjected to. When it comes to modeling and analyzing frames and trusses, these are fundamental components in structural engineering that are commonly encountered in various types of buildings, bridges, and other structures.
Frames: Frames are structural systems composed of interconnected beams and columns that are designed to support loads and resist external forces. The analysis and design of frames involve understanding how the individual members interact under different loading conditions. Common steps in modeling and analyzing frames include:
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Idealization: Frames are often idealized as a collection of straight members connected at their ends with joints that allow rotation. These joints can be either pinned (allowing rotation) or fixed (restricting rotation).
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Loads and Reactions: Determine the external loads acting on the frame, such as dead loads, live loads, wind loads, and seismic forces. Calculate the reactions at the supports.
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Internal Forces: Analyze the frame to determine the internal forces and moments in the various members. This involves using equilibrium equations and compatibility conditions.
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Shear and Moment Diagrams: Construct shear force and bending moment diagrams for each member to visualize the distribution of internal forces along the length of the member.
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Stress and Deflection: Calculate the stress and deflection in each member to ensure they remain within allowable limits.
Trusses: Trusses are assemblies of straight members connected at their ends to form a series of triangles. Trusses are used to efficiently distribute loads and are commonly found in bridges and roofs. Modeling and analyzing trusses involve the following steps:
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Idealization: Trusses are idealized as a collection of straight members connected at joints that are assumed to be pin connections.
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Loads and Reactions: Determine the applied loads and reactions at the supports.
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Method of Joints: Analyze the truss using the method of joints, which involves considering the equilibrium of forces at each joint. This helps determine the internal forces in each truss member.
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Method of Sections: If needed, the method of sections can be used to determine the internal forces in specific members by cutting through the truss and considering equilibrium of forces in the cut section.
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Stress and Stability: Calculate the stress in each truss member and ensure they are within allowable limits. Additionally, check the stability of the truss as a whole to prevent buckling.
Software tools like structural analysis software packages can automate many of these calculations and provide visualizations of internal forces, deformations, and stress distributions.
When modeling and analyzing frames and trusses, it's important to consider factors such as material properties, member cross-sectional shapes, loading conditions, and boundary conditions. Engineers aim to ensure that the structures are safe, stable, and can effectively carry the loads without failure or excessive deformation.
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