
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.
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 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.
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.
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.
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 conservation method to analyze a two-storey frame, exploit symmetry through columns or beams, and compute rotation factors to simplify the 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.