07-Str-A4
Worked solutions to 12 past sittings (2013–2018), 107 questions. Pick a sitting, or start from a topic below.
- December 2018
- May 2018
- December 2017
- May 2017
- December 2016
- May 2016
- December 2015
- May 2015
- December 2014
- May 2014
- May 2013
- Undated paper
Topics across the sittings
Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.
- Bending moment diagrams (9 sittings): May 2018 Q2 · December 2017 Q2 · May 2017 Q2 · May 2016 Q1 · May 2015 Q1 · December 2014 Q1 · May 2014 Q2 · May 2013 Q2 · Undated paper Q2
- Schematic shear force (9 sittings): May 2018 Q2 · December 2017 Q2 · May 2017 Q2 · May 2016 Q1 · May 2015 Q1 · December 2014 Q1 · May 2014 Q2 · May 2013 Q2 · Undated paper Q2
- Flexibility method (4 sittings): December 2018 Q6 · December 2017 Q7 · December 2014 Q6 · Undated paper Q7
- Least work (4 sittings): December 2018 Q4 · December 2017 Q4 · December 2014 Q4 · Undated paper Q4
- Load vector (4 sittings): December 2017 Q9 · May 2017 Q9 · December 2015 Q9 · December 2014 Q9
- Statical indeterminacy (4 sittings): May 2017 Q1 · December 2015 Q1 · May 2014 Q1 · Undated paper Q1
- Derivation of the Stiffness Matrix (3 sittings): December 2016 Q9 · December 2015 Q9 · December 2014 Q9
- Deriving the stiffness matrix (3 sittings): December 2018 Q9 · May 2018 Q9 · May 2017 Q9
- Bending-moment diagrams (2 sittings): December 2018 Q1 · December 2015 Q2
- By slope-deflection (2 sittings): December 2017 Q6 · May 2017 Q6
- Castigliano's theorem (2 sittings): December 2014 Q3 · Undated paper Q3
- Castigliano’s theorem (2 sittings): December 2018 Q3 · December 2017 Q3
- Lack of Fit (2 sittings): May 2016 Q5 · December 2015 Q5
- Schematic shear-force (2 sittings): December 2018 Q1 · December 2015 Q2
- Slope-deflection degrees of freedom (2 sittings): December 2015 Q1 · Undated paper Q1
Questions by sitting
December 2018
- Question 1: Schematic shear-force and bending-moment diagrams
- Question 2: Influence lines for the shear immediately left of support B
- Question 3: Castigliano’s theorem — deflection of an overhanging beam
- Question 4: Least work — propped cantilever under a partial distributed load
- Question 5: Slope-deflection — trapezoidal frame with a settling support
- Question 6: Flexibility (force) method — symmetric frame under a distributed load
- Question 7: Slope-deflection — gable frame with load and support settlement
- Question 8: Slope-deflection — symmetric two-chord frame
- Question 9: Deriving the stiffness matrix and load vector of a parallel-leg frame
May 2018
- Question 1: Minimum structural degrees of freedom for a slope-deflection analysis
- Question 2: Schematic shear force and bending moment diagrams
- Question 3: Castigliano's theorem of least work on a two-member frame
- Question 4: Influence lines for a wall-braced pin-jointed truss
- Question 5: Uniform temperature rise in a three-column frame
- Question 6: Slope-deflection with a uniformly distributed load and a support that moves outward
- Question 7: Fixed-end moments of a non-prismatic beam by the flexibility method
- Question 8: Anti-symmetric portal with loaded columns and free stubs
- Question 9: Deriving the stiffness matrix and load vector of a frame with parallel legs
December 2017
- Question 1: Minimum number of structural degrees of freedom
- Question 2: Schematic shear force and bending moment diagrams
- Question 3: Castigliano’s theorem — horizontal deflection at joint 3
- Question 4: Least work — forces in a three-bar truss
- Question 5: Slope-deflection for a frame jacked at joint 3
- Question 6: Symmetric frame with internal hinges, by slope-deflection
- Question 7: Flexibility method — fixed-end moment of a non-prismatic beam
- Question 8: Symmetric frame with a Gerber top member
- Question 9: Derive the stiffness matrix and load vector
May 2017
- Question 1: Statical indeterminacy and structural degrees of freedom
- Question 2: Schematic shear force and bending moment diagrams
- Question 3: Three-bar truss by the theorem of least work
- Question 4: Deflection at an internal hinge by Castigliano's theorem
- Question 5: Plane frame jacked at mid-span
- Question 6: Sway frame with load-carrying stubs, by slope-deflection
- Question 7: Fixed-end moment of a non-prismatic beam by the flexibility method
- Question 8: Trapezoidal sway frame with an inextensible strut
- Question 9: Deriving the stiffness matrix and load vector
December 2016
- Question 1: Schematic Shear and Bending Moment Diagrams for Three Structures
- Question 2: Influence Lines for the Shear Immediately Left of Support C
- Question 3: Midspan Deflection by Castigliano’s Second Theorem
- Question 4: Least Work Analysis of a Tied Trapezoidal Frame
- Question 5: Slope-Deflection Analysis of a Gable Frame with a Fabrication Error
- Question 6: Stiffness Matrix of a Straight Non-Prismatic Beam
- Question 7: Slope-Deflection Analysis with a Jacked Support and a Span Load
- Question 8: Anti-Symmetric Analysis of a Portal Frame
- Question 9: Derivation of the Stiffness Matrix and Load Vector for an L-Frame
May 2016
- Question 1: Schematic Shear Force and Bending Moment Diagrams
- Question 2: Influence Lines for Two Bars of a Pin-Jointed Truss
- Question 3: Fixed-End Moment of a Non-Prismatic Beam by the Flexibility Method
- Question 4: Horizontal Deflection of a Hinged Portal by Castigliano’s Theorem
- Question 5: Lack of Fit — a Link Fabricated 0.06 m Too Long
- Question 6: Sway Frame with an Overhang by the Slope-Deflection Method
- Question 7: Frame with an Inclined Member and Two Built-in Bases at Different Levels
- Question 8: Deriving the Equilibrium Equations and the Stiffness Matrix for a Gable Frame
December 2015
- Question 1: Statical Indeterminacy and Slope-Deflection Degrees of Freedom
- Question 2: Schematic Shear-Force and Bending-Moment Diagrams
- Question 3: Three-Bar Truss by the Least-Work Theorem
- Question 4: Horizontal Deflection of a Frame by Castigliano's Theorem
- Question 5: Symmetric Gable Frame Forced into Place — Lack of Fit
- Question 6: Three-Span Beam with Support Settlement
- Question 7: Frame Analysis by the Flexibility (Force) Method
- Question 8: Sway Frame with an Inclined Member by Slope-Deflection
- Question 9: Derivation of the Stiffness Matrix and Load Vector
May 2015
- Question 1: Schematic shear force and bending moment diagrams
- Question 2: Influence lines for a pin-jointed truss
- Question 3: Fixed-end moments of a non-prismatic beam by the flexibility method
- Question 4: Slope-deflection analysis of a frame with an imposed joint displacement
- Question 5: Two-beam structure by Castigliano’s least-work theorem
- Question 6: Continuous beam with a settling support
- Question 7: Frame with two columns and a loaded cantilever
- Question 8: Slope-deflection analysis of a frame on an inclined roller
- Question 9: Equilibrium equations and the stiffness matrix of a sway frame
December 2014
- Question 1: Schematic shear force and bending moment diagrams
- Question 2: Influence lines for a truss loaded through a mid-height floor system
- Question 3: Castigliano's theorem — horizontal deflection of the roller
- Question 4: Least work — moment and shear at joint (2) of a two-hinged portal
- Question 5: Slope-deflection with a lack of fit
- Question 6: Flexibility method — fixed-ended non-prismatic beam
- Question 7: Slope-deflection with a settling support
- Question 8: Slope-deflection analysis of a sway frame
- Question 9: Derivation of the stiffness matrix and load vector
May 2014
- Question 1: Statical indeterminacy and structural degrees of freedom
- Question 2: Schematic shear force and bending moment diagrams
- Question 3: Least work analysis of a propped beam
- Question 4: Deflection at an internal hinge by Castigliano
- Question 5: Slope-deflection analysis of a propped gable frame
- Question 6: Lack of fit in an unloaded frame
- Question 7: Flexibility (force) method for a bent frame
- Question 8: Slope-deflection with sidesway
- Question 9: Deriving the stiffness equations
May 2013
- Question 1: Structural degrees of freedom for a slope-deflection analysis
- Question 2: Schematic shear force and bending moment diagrams
- Question 3: Least-work analysis of a tie-rod-propped beam (Castigliano)
- Question 4: Influence lines for a pin-jointed truss loaded on the top chord
- Question 5: Slope-deflection analysis of a frame with a fabrication error
- Question 6: Two-span beam with a settled central support
- Question 7: Flexibility (force) method analysis of an L-frame
- Question 8: Slope-deflection analysis of a frame with sidesway
- Question 9: Deriving the stiffness equations for a frame with one sway freedom
Undated paper
- Question 1: Statical indeterminacy and slope-deflection degrees of freedom
- Question 2: Schematic shear force and bending moment diagrams
- Question 3: Castigliano's theorem — deflection at an internal hinge
- Question 4: Least work — two-hinged portal frame under a uniform load
- Question 5: Moment distribution — symmetric gable with overhangs
- Question 6: Slope deflection — symmetric portal with a thermal elongation
- Question 7: Flexibility (force) method — portal with combined gravity and horizontal load
- Question 8: Slope deflection — symmetric two-storey, two-bay frame
- Question 9: Deriving the stiffness equations of a frame with an inclined member