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- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Introduction_to_Aerospace_Structures_and_Materials_(Alderliesten)/03%3A_Analysis_of_Statically_Indeterminate_Structures/11%3A_Slope-Deflection_Method_of_Analysis_of_Indeterminate_Structures
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Introduction_to_Aerospace_Structures_and_Materials_(Alderliesten)/02%3A_Analysis_of_Statically_Determinate_Structures/07%3A_Deflection_of_Beams-_Geometric_Methods/7.01%3A_IntroductionSome of the methods used in this chapter include the method of double integration, the method of singularity function, the moment-area method, the unit-load method, the virtual work method, and the en...Some of the methods used in this chapter include the method of double integration, the method of singularity function, the moment-area method, the unit-load method, the virtual work method, and the energy methods.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Introduction_to_Aerospace_Structures_and_Materials_(Alderliesten)/zz%3A_Back_Matter
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Introduction_to_Aerospace_Structures_and_Materials_(Alderliesten)/03%3A_Analysis_of_Statically_Indeterminate_Structures
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Introduction_to_Aerospace_Structures_and_Materials_(Alderliesten)/01%3A_Introduction_to_Structural_Analysis_and_Structural_Loads/02%3A_Structural_Loads_and_Loading_SystemCivil engineering structures are designed to sustain various types of loads and possible combinations of loads that could act on them during their lifetime. Accurate estimation of the magnitudes of th...Civil engineering structures are designed to sustain various types of loads and possible combinations of loads that could act on them during their lifetime. Accurate estimation of the magnitudes of these loads is a very important aspect of the structural analysis process. Structural loads can be broadly classified into four groups: dead loads, live loads, impact loads, and environmental loads.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Introduction_to_Aerospace_Structures_and_Materials_(Alderliesten)/03%3A_Analysis_of_Statically_Indeterminate_Structures/12%3A_Moment_Distribution_Method_of_Analysis_of_Structures/12.03%3A_DefinitionsIf a moment \(M_{1}\) is applied to the left end of the beam, the slope-deflection equations for both ends of the beam can be written as follows: Equation \ref{3} suggests that the moment carried over...If a moment \(M_{1}\) is applied to the left end of the beam, the slope-deflection equations for both ends of the beam can be written as follows: Equation \ref{3} suggests that the moment carried over to the fixed end of a beam due to a moment applied at the other end is equal to one-half of the applied moment. Distributed factor (DF): The distributed factor is a factor used to determine the proportion of the unbalanced moment carried by each of the members meeting at a joint.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Introduction_to_Aerospace_Structures_and_Materials_(Alderliesten)/03%3A_Analysis_of_Statically_Indeterminate_Structures/11%3A_Slope-Deflection_Method_of_Analysis_of_Indeterminate_Structures/11.05%3A_Analysis_of_Indeterminate_BeamsThe procedure for the analysis of indeterminate beams by the slope-deflection method is summarized below. •Write the equilibrium equations at each joint that is free to rotate in terms of the end mome...The procedure for the analysis of indeterminate beams by the slope-deflection method is summarized below. •Write the equilibrium equations at each joint that is free to rotate in terms of the end moments of members connected at that joint. •Draw a free-body diagram of the indeterminate beams indicating the end moments at the joint. •Draw the shearing force diagrams of the beam by considering the freebody diagram of each span of the beam in the case of a multi-span structure.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Introduction_to_Aerospace_Structures_and_Materials_(Alderliesten)/01%3A_Introduction_to_Structural_Analysis_and_Structural_Loads/02%3A_Structural_Loads_and_Loading_System/2.05%3A_Live_Load_ReductionAccording to Table 4.1 in ASCE 7-16, the reduced load as a fraction of the unreduced floor live load for a classroom is \(\left(\frac{20}{40}\right)=0.50>0.4\) Thus, the reduced floor live load is as ...According to Table 4.1 in ASCE 7-16, the reduced load as a fraction of the unreduced floor live load for a classroom is \(\left(\frac{20}{40}\right)=0.50>0.4\) Thus, the reduced floor live load is as follows: In addition to the design snow load computed in practice problem 2.7, the roof of the building in Figure P2.3 is subjected to a dead load of 16 psf (including the weight of a truss, roof board, and asphalt shingle) on the horizontal plane.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Introduction_to_Aerospace_Structures_and_Materials_(Alderliesten)/02%3A_Analysis_of_Statically_Determinate_Structures/03%3A_Equilibrium_Structures_Support_Reactions_Determinacy_and_Stability_of_Beams_and_Frames/3.02%3A_Types_of_Supports_and_Their_CharacteristicsHowever, the characteristics of some of the supports are described below and shown in Table 3.1. A roller support allows rotation about any axis and translation (horizontal movement) in any direction ...However, the characteristics of some of the supports are described below and shown in Table 3.1. A roller support allows rotation about any axis and translation (horizontal movement) in any direction parallel to the surface on which it rests. In other words, the reaction force of a link is in the direction of the link, along its longitudinal axis. A fixed support offers a constraint against rotation in any direction, and it prevents movement in both horizontal and vertical directions.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Introduction_to_Aerospace_Structures_and_Materials_(Alderliesten)/02%3A_Analysis_of_Statically_Determinate_Structures/03%3A_Equilibrium_Structures_Support_Reactions_Determinacy_and_Stability_of_Beams_and_Frames/3.03%3A_Determinacy_and_Stability_of_Beams_and_FramesThe conditions of determinacy, indeterminacy, and instability of beams and frames can be stated as follows: \[\begin{array}{l} 3 m+r<3 j+C \text { Structure is statically unstable} \\ 3 m+r=3 j+C \tex...The conditions of determinacy, indeterminacy, and instability of beams and frames can be stated as follows: \[\begin{array}{l} 3 m+r<3 j+C \text { Structure is statically unstable} \\ 3 m+r=3 j+C \text { Structure is statically determinate}\\ 3 m+r>3 j+C \text { Structure is statically indeterminate} \end{array}\]
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Introduction_to_Aerospace_Structures_and_Materials_(Alderliesten)/01%3A_Introduction_to_Structural_Analysis_and_Structural_Loads/01%3A_Introduction_to_Structural_Analysis/1.02%3A_Types_of_Structures_and_Structural_MembersThere are several types of civil engineering structures, including buildings, bridges, towers, arches, and cables. Members or components that make up a structure can have different forms or shapes dep...There are several types of civil engineering structures, including buildings, bridges, towers, arches, and cables. Members or components that make up a structure can have different forms or shapes depending on their functional requirements. Structural members can be classified as beams, columns and tension structures, frames, and trusses. The features of these forms will be briefly discussed in this section.
