BENDING MOMENTS AND SHEAR FORCE IN A BEAM

• Bending moment variation at the point of loading

• Variation of bearing moment away from the point of loading

• Examination of various other loading cases, including loads traversing the beam

• Shear force variation with an increasing point load

• Variation of shear force for various loading

UNSYMMETRICAL BENDING AND SHEAR CENTRE

• Horizontal and vertical deflection of different asymmetrical sections at various angles

• Horizontal and vertical deflection of different asymmetrical sections at various loads

• The relationship between the vertical and horizontal deflections and the principle moments of area of each section

• Shear center of various asymmetrical sections

PIN JOINTED FRAMEWORKS

• Study of strains, stresses, forces and deflections in various frameworks including a warren girder and roof truss.

• Comparison of different frameworks.

THREE-PINNED ARCH

• Demonstration of the characteristics of a three-pinned arch

• Examination of the relationship between applied loads and horizontal thrust produced from a simple determine arched structure

FIXED ARCH

• Demonstration of the characteristics of a fixed arch.

• Examination of the relationship between applied loads and horizontal thrust produced from a fixed(thus redundant in three degrees) arched structure.

• Comparison of fixed-arch behavior to simplified theory based on the secant assumption.

CONTINUOUS AND INDETERMINATE BEAM

• Reactions of a simply supported beam

• Reactions of a two-span continuous beam

• Reactions and fixing moments of a fixed beam and a propped cantilever

• Reaction and fixing moment of a propped cantilever with a sinking support

• Relationship between load and deflection for beams and cantilevers

PLASTIC BENDING OF PORTALS

• A rectangular portal with a uniform section

• A rectangular portal with a non-uniform section

REDUNDANT TRUSS

• A statically determinate framework

• A statically indeterminate framework

FRAME DEFLECTIONS AND REACTIONS

• Reactions between load and deflection for portal frames loaded to the plastic condition

• Introduction to limit state design

• Relationship between maximum loading and plastic hinge formation in portal frames loaded vertically from the center, horizontally from one corner and equally from both positions

• Interaction between horizontal and vertical loading in terms of plastic hinge position and mode of collapse

LOADING AND BUCKLING OF STRUTS

• Euler buckling loads

• Relationship between strut length and collapse load

• Relationship between end-fixing conditions and collapse loads

• Nature of deflection and deflected shapes with various end-fixing conditions

TORSION OF CIRCULAR SECTION

• The relationship between specimen length, torque and angular deflection

• The behavior of specimens of different material and sections

• General torsion theory

• Shear modulus