
Explore how structural analysis tackles indeterminate structures using equilibrium equations and additional equations. Apply the slope deflection method to find deflections, slopes, and member forces for design.
Explore the slope deflection method by examining core assumptions, such as all joints being affected and axial distortion neglected, and apply consistent sign conventions for fixed-end moments.
Learn how to analyze a two-span continuous beam using the slope-deflection method, determine fixed-end moments, and apply equilibrium to obtain final beam moments.
apply slope-deflection analysis to a multi-span beam with fixed supports, determine support reactions, moments, and shear forces through joint equilibrium and span-by-span equations.
This lecture shows solving a three-span continuous beam using the slope-deflection method to obtain fixed-end moments, apply equilibrium conditions, and derive the final bending moments.
Using slope-deflection equations, the lecture demonstrates solving fixed-end moments and joint rotations for a beam with sinking supports by forming and solving two equilibrium equations.
Solves a three-span continuous beam using the slope deflection method, calibrating fixities and applying equilibrium equations to compute end moments and rotations.
Apply slope-deflection equations to derive equilibrium conditions for beam spans, compute fixed-end and joint moments, and discuss limitations and matrix approaches for frame analysis.
Introduction to sway and non-sway frames, and the slope deflection method for frame analysis, with conditions that cause sway: horizontal loading, different supports, unequal column lengths, and not symmetrical loading.
Analyze a non-sway frame using slope-deflection equations and equilibrium conditions with fixed supports to compute end moments at joints and develop a moment distribution diagram.
Apply the slope deflection method to a non sway frame with a fixed beam and overhang, compute fixed-end and joint moments, and use equilibrium to determine member end moments.
Apply the slope deflection method to a non sway frame problem, compute fixed-end moments, enforce equilibrium, and determine joint end moments and member forces.
Apply the slope-deflection method to a non-sway frame with fixed supports, derive slope-deflection and equilibrium equations, and solve for joint rotations and end moments.
Explore how sway frames behave under slope deflection analysis, including fixed supports, moment and shear equations, and free body diagrams to solve for frame displacements and moments.
Explore solving a sway frame using equilibrium, slope-deflection, and shear equations; derive end moments and member forces by solving three unknowns and applying joint equilibrium.
Apply slope-deflection methods to a sway frame under horizontal load, derive fixed-end moments, write the deflection equations, and solve equilibrium equations to obtain end moments at the joints.
learn to solve a sway frame using the slope deflection method, derive four slope deflection equations, apply equilibrium and shear relations, and compute the unknown D2C and Delta.
Learn the moment distribution method as an alternative to slope deflection. Define carry over moment and carry over factor, and explain stiffness and distribution factor.
Learn to calculate the carry over factor and stiffness for a beam with a fixed support, using the conjugate beam method, and understand how fixed ends influence moment distribution.
Apply the momentum distribution method to compute distribution factors, fixed-end moments, and carryover in a beam problem, achieving joint equilibrium through moment distribution.
This lecture applies the American distribution method to a two-span frame, deriving fixed-end moments, calculating distribution factors, and performing carry-over to balance joint moments.
Compute joint reactions, unbalanced movements, and final moments through iterative calculations, using the diagram to identify balanced states and carryover effects.
Apply the moment distribution method to a frame with hinge and roller supports, calculating fixed-end moments and distribution factors, then balance joints by releasing and adjusting to zero net moments.
Apply the moment distribution method to compute distribution factors, carryover values, and final member moments for cantilevered and supported beams.
Apply the moment distribution method to solve a complex beam problem, compute fixed-end moments, determine distribution factors, balance joint moments, and obtain final end moments.
We solve a frame with fixed and pinned supports using the moment distribution method. Compute distribution factors, fixed-end moments, and carry-over to balance joints and derive the final moment diagram.
Apply the moment distribution method to analyze an indeterminate beam with different supports, compute fixed-end moments, balance joints with distribution factors, and determine final end moments.
This lecture solves a continuous beam problem using the distribution method and slope-deflection equation, computes distribution factors and joint behavior, and previews frames using normal distribution in the next lesson.
Apply moment distribution to solve beam and frame problems, and calculate distribution factors and joint moments. Understand how foundation settlement affects beam design and frame stability.
Compute joint moments in a non-sway frame using the moment distribution method, performing iterations to balance joints and develop the final moment distribution diagram, with a comparison to slope-deflection.
Solve a non-sway frame problem using global deflection, avoiding moment distribution, and determine three equilibrium conditions to compute three unknowns B, C, and D with distribution factors at joints.
apply the moving distribution method to non-sway frames through a numerical example, calculating distribution factors, balanced and unbalanced moments, and joint results.
Split the problem into non-sway and sway analyses, then apply the momentum distribution method with distribution factors and moment-distribution tables to obtain frame reactions and moments.
Analyze sway frames by calculating fixed end moments, distribution factors, and distribution tables; apply correction factors to determine final moments for non-sway and sway conditions.
Apply the moment distribution method to sway frames, starting with fixed-end moments, calculating distribution factors, and performing non-sway and sway steps to balance joint moments.
Solve sway frame problems with the moment distribution method by calculating fixed-end moments, distribution factors, and final joint moments; apply to three frames with carry-over and balancing steps.
Apply the moment distribution method to solve continuous beams and frames by determining fixed-end moments, rotation factors, and distribution factors, then iterate to obtain final end moments.
Analyze a continuous beam with fixed ends using moment distribution, calibrate the model, compute fixed-end moments, then determine rotation factors and contributions to final moments.
learn how to analyze a continuous beam by calculating fixed-end moments, determining rotation factors, and evaluating AB and BC member contributions to obtain final moment results under simple supports.
Analyze a continuous beam with simple supports, convert loads to fixed-end moments, determine rotation factors, modify fixed-end moments, and iterate to obtain final moments for beam segments.
Apply the moment distribution method to a frame, calculating end moments, rotation and distribution factors, and iterating to obtain final member and joint moments.
Explore the canister rotation method to analyze a two-frame structural frame, derive fixed end moments and rotation factors, build a distribution table, and apply symmetry to simplify multi-story frame analysis.
Apply the conservation method to analyze a two-storey frame, exploit symmetry through columns or beams, and compute rotation factors to simplify the frame.
Explore solving a frame with symmetry through the beam midspan, compute fixed-end moments, and use stiffness-based rotation factors to iteratively determine joint end moments for a multi-span frame.
1. ANALYSIS OF CONTINUOUS BEAMS: Introduction, Sign convention, Development of slope-deflection equations, Analysis of continuous beams without support settlement and rotation.
Numerical Without Settlement and Rotation:
Continuous beam with fixed support at both ends.
Continuous beam with fixed support at one end and hinge/roller at other.
Continuous beam with fixed support at both end and overhang at other.
Continuous beam with three span.
2. ANALYSIS OF CONTINUOUS BEAMS: Introduction, Sign convention, Development of slope-deflection equations, Analysis of continuous beams with support settlement and rotation.
Numerical With Settlement and Rotation:
Continuous beam with fixed support at both ends.
Continuous beam with fixed support at one end and hinge/roller at other.
Continuous beam with fixed support at both end and overhang at other.
Continuous beam with three span.
3. ANALYSIS OF RIGID FRAMES: Introduction, Sign convention, Development of slope-deflection equations, Analysis of rigid frames without subjected to sway.
Numerical Without Sway:
Frames with uniform loading.
Frames with same support on column.
Frames with axis of symmetry.
Frames without axis of symmetry.
4. ANALYSIS OF RIGID FRAMES: Introduction, Sign convention, Development of slope-deflection equations, Analysis of rigid frames with subjected to sway.
Numerical Without Sway:
Frames with uniform loading.
Frames with same support on column.
Frames with axis of symmetry.
Frames without axis of symmetry.