16-Civ-A1 Elementary Structural Analysis
Worked solutions to 14 past sittings (2013–2019), 112 questions. Pick a sitting, or start from a topic below.
- December 2019
- December 2018
- May 2018
- December 2017
- May 2017
- December 2016
- May 2016
- December 2015
- May 2015
- December 2014
- May 2014
- December 2013
- 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.
- Influence lines (14 sittings): December 2019 Q5 · December 2018 Q5 · May 2018 Q5 · December 2017 Q5 · May 2017 Q5 · December 2016 Q7 · May 2016 Q5 · December 2015 Q7 · May 2015 Q5 · December 2014 Q5 · May 2014 Q6 · December 2013 Q7 · May 2013 Q8 · Undated paper Q5
- Reactions (14 sittings): December 2019 Q2 · December 2018 Q2 · May 2018 Q2 · December 2017 Q2 · May 2017 Q2 · December 2016 Q2 · May 2016 Q2 · December 2015 Q2 · May 2015 Q2 · December 2014 Q2 · May 2014 Q2 · December 2013 Q2 · May 2013 Q2 · Undated paper Q2
- Classify each structure (12 sittings): December 2018 Q1 · May 2018 Q1 · December 2017 Q1 · May 2017 Q1 · December 2016 Q1 · May 2016 Q1 · December 2015 Q1 · May 2015 Q1 · December 2014 Q1 · May 2014 Q1 · December 2013 Q1 · May 2013 Q1
- Unstable / determinate / indeterminate (11 sittings): December 2018 Q1 · May 2018 Q1 · May 2017 Q1 · December 2016 Q1 · May 2016 Q1 · December 2015 Q1 · May 2015 Q1 · December 2014 Q1 · May 2014 Q1 · December 2013 Q1 · May 2013 Q1
- Truss member forces (10 sittings): December 2019 Q4 · December 2018 Q4 · May 2018 Q4 · December 2017 Q4 · May 2017 Q4 · December 2016 Q4 · May 2016 Q4 · December 2014 Q4 · May 2014 Q4 · December 2013 Q4
- Bending-moment diagrams (9 sittings): December 2018 Q2 · May 2018 Q2 · May 2017 Q2 · December 2016 Q2 · May 2016 Q2 · December 2015 Q2 · May 2015 Q2 · May 2014 Q2 · December 2013 Q2
- Three-hinged frame (6 sittings): December 2019 Q7 · May 2016 Q8 · December 2014 Q7 · May 2014 Q7 · May 2013 Q7 · Undated paper Q7
- Shear (5 sittings): December 2019 Q2 · May 2017 Q2 · December 2016 Q2 · May 2015 Q2 · Undated paper Q2
- Indeterminate frame by moment distribution (4 sittings): December 2019 Q6 · May 2015 Q6 · December 2014 Q6 · May 2014 Q5
- SFD/BMD (3 sittings): December 2014 Q7 · May 2014 Q7 · May 2013 Q7
- Three-hinged gable frame (3 sittings): December 2018 Q8 · December 2015 Q6 · May 2015 Q8
- Truss deflection by virtual work (3 sittings): December 2019 Q3 · December 2018 Q7 · May 2015 Q3
- Deflection by virtual work (2 sittings): December 2014 Q8 · May 2014 Q8
- Frame deflection by virtual work (2 sittings): December 2016 Q8 · May 2016 Q7
- Indeterminate frame (2 sittings): May 2017 Q7 · May 2016 Q6
Questions by sitting
December 2019
- Question 1: Determinacy and stability
- Question 2: Reactions, shear and moment diagrams
- Question 3: Truss deflection by virtual work
- Question 4: Truss member forces
- Question 5: Influence lines and a moving vehicle
- Question 6: Indeterminate frame by moment distribution
- Question 7: Three-hinged frame: reactions and diagrams
- Question 8: Beam deflection by virtual work
December 2018
- Question 1: Classify each structure — unstable / determinate / indeterminate
- Question 2: Reactions, shear- and bending-moment diagrams
- Question 3: Vertical deflections of a non-prismatic beam
- Question 4: Truss member forces (tension / compression)
- Question 5: Influence lines
- Question 6: Frame by moment distribution (answer one of Q6/Q7/Q8)
- Question 7: Truss deflection by virtual work (answer one of Q6/Q7/Q8)
- Question 8: Three-hinged gable frame (answer one of Q6/Q7/Q8)
May 2018
- Question 1: Classify each structure — unstable / determinate / indeterminate
- Question 2: Reactions, shear- and bending-moment diagrams
- Question 3: Vertical deflection at B of a non-prismatic beam
- Question 4: Truss member forces (tension / compression)
- Question 5: Influence lines
- Question 6: Continuous frame by moment distribution
- Question 7: Frame with relative $EI$ (slope-deflection / moment distribution)
- Question 8: Truss joint deflections by virtual work
December 2017
- Question 1: Classify each structure: unstable, determinate or indeterminate
- Question 2: Reactions and shear / bending-moment diagrams
- Question 3: Vertical deflection of a continuous (overhanging) beam
- Question 4: Truss member forces (tension / compression)
- Question 5: Influence lines and moving loads
- Question 6: Slope-deflection analysis of a frame
- Question 7: Horizontal deflection by virtual work
- Question 8: Moment distribution of a symmetric Gerber frame
May 2017
- Question 1: Classify each structure — unstable / determinate / indeterminate
- Question 2: Reactions, shear and bending-moment diagrams
- Question 3: Vertical deflection at the overhang tip
- Question 4: Truss member forces (method of sections)
- Question 5: Influence lines
- Question 6: Truss forces and virtual-work deflection
- Question 7: Indeterminate frame — moment distribution / slope-deflection
- Question 8: Vertical deflection at C (beam propped by a strut)
December 2016
- Question 1: Classify each structure — unstable / determinate / indeterminate
- Question 2: Reactions, shear and bending-moment diagrams
- Question 3: Vertical deflection of the overhang tip on a continuous beam
- Question 4: Truss member forces (tension / compression)
- Question 5: Frame by moment distribution / slope-deflection
- Question 6: Two-pinned portal frame — reactions and diagrams
- Question 7: Influence lines
- Question 8: Frame deflection by virtual work
May 2016
- Question 1: Classify each structure — unstable / determinate / indeterminate
- Question 2: Reactions, shear- and bending-moment diagrams
- Question 3: Vertical deflection of an overhanging beam
- Question 4: Truss member forces
- Question 5: Influence lines
- Question 6: Indeterminate frame — moment distribution / slope-deflection
- Question 7: Frame deflection by virtual work
- Question 8: Three-hinged frame — reactions and internal-force diagrams
December 2015
- Question 1: Classify each structure — unstable / determinate / indeterminate
- Question 2: Reactions, shear- and bending-moment diagrams
- Question 3: Deflection of a trapezoidal bent (flexural, virtual work)
- Question 4: Member forces in two trusses
- Question 5: Indeterminate frame by moment distribution / slope-deflection
- Question 6: Three-hinged gable frame
- Question 7: Influence lines
- Question 8: Horizontal deflection of a truss by virtual work
May 2015
- Question 1: Classify each structure — unstable / determinate / indeterminate
- Question 2: Reactions, shear and bending-moment diagrams
- Question 3: Truss deflection by virtual work
- Question 4: Member forces by the method of sections
- Question 5: Influence lines
- Question 6: Indeterminate frame by moment distribution
- Question 7: Deflection of a tie-rod-propped frame
- Question 8: Three-hinged gable frame
December 2014
- Question 1: Classify each structure — unstable / determinate / indeterminate
- Question 2: Reactions and shear/bending-moment diagrams
- Question 3: Deflection of a non-prismatic beam by virtual work
- Question 4: Truss member forces
- Question 5: Influence lines
- Question 6: Indeterminate frame by moment distribution
- Question 7: Three-hinged frame — reactions and SFD/BMD
- Question 8: Deflection by virtual work (tie-rod frame)
May 2014
- Question 1: Classify each structure — unstable / determinate / indeterminate
- Question 2: Reactions, shear-force and bending-moment diagrams
- Question 3: Deflection of a non-prismatic beam by virtual work
- Question 4: Truss member forces (method of sections)
- Question 5: Indeterminate frame by moment distribution
- Question 6: Influence lines
- Question 7: Three-hinged frame — reactions and SFD/BMD
- Question 8: Deflection by virtual work
December 2013
- Question 1: Classify each structure — unstable / determinate / indeterminate
- Question 2: Reactions, shear-force and bending-moment diagrams
- Question 3: Deflection of a non-prismatic beam by virtual work
- Question 4: Truss member forces
- Question 5: Indeterminate frame by moment distribution / slope–deflection
- Question 6: Joint deflection of a truss by virtual work
- Question 7: Influence lines
- Question 8: Reactions and SFD/BMD of a hinged frame
May 2013
- Question 1: Classify each structure: unstable / determinate / indeterminate
- Question 2: Reactions and shear / bending-moment diagrams
- Question 3: Vertical deflection of joint U₂ of a symmetric truss
- Question 4: Member forces in two trusses
- Question 5: Indeterminate frame by moment distribution / slope-deflection
- Question 6: Horizontal deflection of joint 2 of an L-frame
- Question 7: Three-hinged frame: reactions and SFD/BMD
- Question 8: Influence lines and force under a moving distributed load
Undated paper
- Question 1: Classification of six structures
- Question 2: Reactions, shear and bending-moment diagrams for three beams
- Question 3: Member forces in a Pratt truss
- Question 4: Deflection of a cable-propped beam and Maxwell’s theorem
- Question 5: Influence lines and maximum effects from moving loads
- Question 6: Indeterminate frame by moment distribution / slope deflection
- Question 7: Three-hinged frame — reactions and internal-force diagrams
- Question 8: Horizontal deflection of a frame by virtual work