04-BS-6
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.
- Shear (10 sittings): December 2019 Q2 · December 2018 Q2 · May 2018 Q2 · December 2017 Q2 · May 2017 Q2 · May 2016 Q8 · May 2015 Q7 · December 2014 Q7 · May 2014 Q2 · December 2013 Q6
- Combined Axial (6 sittings): December 2017 Q5 · December 2016 Q5 · May 2016 Q3 · May 2015 Q6 · May 2014 Q6 · December 2013 Q4
- Two Cables (5 sittings): May 2016 Q6 · December 2015 Q4 · May 2015 Q5 · May 2014 Q1 · May 2013 Q5
- Deflection by Integration (4 sittings): May 2017 Q3 · December 2016 Q2 · December 2015 Q1 · May 2013 Q1
- Mohr's Circle (4 sittings): May 2018 Q4 · May 2016 Q4 · December 2015 Q2 · May 2013 Q2
- Bending (3 sittings): December 2019 Q7 · May 2014 Q6 · December 2013 Q4
- Bending-Moment Diagrams (3 sittings): December 2016 Q1 · May 2016 Q8 · December 2015 Q8
- Moment Functions (3 sittings): May 2017 Q2 · May 2014 Q2 · December 2013 Q6
- Principal Stresses (3 sittings): May 2018 Q4 · December 2015 Q2 · Undated paper Q4
- Rigid Beam on a Pin (3 sittings): December 2015 Q4 · May 2015 Q5 · May 2013 Q5
- Stepped Shaft in Torsion (3 sittings): December 2016 Q6 · May 2015 Q4 · December 2013 Q8
- Torsion (3 sittings): December 2015 Q3 · December 2014 Q2 · May 2013 Q8
- A-Frame Truss (2 sittings): May 2016 Q5 · December 2015 Q5
- Maximum Shear Stress (2 sittings): December 2019 Q6 · Undated paper Q6
- Mohr's Circle for Plane Stress (2 sittings): May 2017 Q4 · December 2016 Q4
Questions by sitting
December 2019
- Question 1: Composite Concrete/Steel Column Under Axial Load
- Question 2: Shear and Moment Diagrams for a Simply-Supported Beam
- Question 3: Beam Deflection by the Method of Integration
- Question 4: Mohr's Circle for Stresses Parallel/Perpendicular to Wood Grain
- Question 5: Rigid Bar Propped by a Buckling-Governed Column
- Question 6: Torque Diagram, Maximum Shear Stress and Angle of Twist for a Stepped Shaft
- Question 7: Composite Timber/Steel Beam — Bending and Glue-Joint Shear
- Question 8: Combined Axial + Bending + Shear on an Overhang Beam
December 2018
- Question 1: Rigid Bar on Two Inclined Support Bars (Statically Indeterminate)
- Question 2: Shear and Moment Diagrams for a Stepped-UDL Overhang Beam
- Question 3: Mohr's Circle for a Uniaxial-Stress Welded Plate
- Question 4: Propped Beam: Strut Buckling Sets the Maximum Load
- Question 5: Stepped Circular Shaft ABCDE Under Four Torques
- Question 6: Composite Concrete Cantilever with a Top Steel Plate
- Question 7: T-Beam with Mid-Span Point Load
- Question 8: W150x30 Overhang Beam: Tip Deflection by Integration
May 2018
- Question 1: Composite Rod-and-Pipe Assembly (Statically Indeterminate)
- Question 2: Shear and Moment Diagrams for an Overhanging Beam
- Question 3: Maximum Deflection of a Beam Under Triangular Load
- Question 4: Mohr's Circle: Principal Stresses and Maximum Shear
- Question 5: Composite Timber-Steel-Aluminum Beam (Transformed Section)
- Question 6: Stepped Circular Shaft Under Two Torques
- Question 7: Two-Member Frame: Cable and Bar Under Combined Yield/Buckling Checks
- Question 8: Cantilever with Partial UDL and Inclined Tip Load
December 2017
- Question 1: Composite Brass/Steel Column with a Gap
- Question 2: Shear & Moment Diagrams for an Overhanging W460×82 Beam
- Question 3: Beam Deflection by Integration — Triangular Load Plus End Couple
- Question 4: Mohr’s Circle for Plane Stress
- Question 5: Combined Axial, Shear & Bending in an L-Shaped Frame
- Question 6: Multi-Segment Torsion Shaft
- Question 7: Largest Load Before Buckling in a Two-Rod Frame
- Question 8: Cast-Iron Beam with an Unsymmetric I-Section
May 2017
- Question 1: Composite Column With an Initial Gap
- Question 2: Shear and Moment Functions, Overhang Beam
- Question 3: Deflection by Integration, Triangular Load + Couple
- Question 4: Mohr's Circle for Plane Stress
- Question 5: Eccentric Inclined Load on a T-Shaped Column
- Question 6: Torsion of a Stepped Shaft
- Question 7: Truss With Euler-Buckling Compression Members
- Question 8: Cast-Iron Beam With an Unsymmetric Section
December 2016
- Question 1: Shear-Force and Bending-Moment Diagrams
- Question 2: Deflection by Integration
- Question 3: Normal and Shear Stress in the Beam
- Question 4: Mohr's Circle for Plane Stress
- Question 5: Combined Axial and Bending in a Propped Beam
- Question 6: Stepped Shaft in Torsion
- Question 7: Rigid L-Shaped Link with Two Cables
- Question 8: Largest Load on a Two-Bar Truss (Buckling)
May 2016
- Question 1: Sandwich Composite Cantilever Beam
- Question 2: Cantilever Beam Deflection by Integration
- Question 3: Spreader Beam — Combined Axial and Bending Stress
- Question 4: Plane Stress — Mohr's Circle
- Question 5: A-Frame Truss — Column Buckling
- Question 6: Rigid Bar on a Pin and Two Cables — Statically Indeterminate
- Question 7: Stepped Circular Shaft in Torsion
- Question 8: Shear and Bending-Moment Diagrams — Beam with an Overhang
December 2015
- Question 1: Simply Supported Beam — Deflection by Integration
- Question 2: Mohr's Circle — Principal Stresses and Maximum In-Plane Shear
- Question 3: Stepped Circular Shaft — Torsion
- Question 4: Rigid Beam on a Pin and Two Cables
- Question 5: A-Frame Truss — Buckling of a Compression Strut
- Question 6: Beam with an Inclined Cable — Combined Axial + Bending
- Question 7: Composite Wood-Steel Beam
- Question 8: Shear-Force and Bending-Moment Diagrams
May 2015
- Question 1: Mohr's Circle for a Plane-Stress Element
- Question 2: Cantilever Deflection by the Method of Integration
- Question 3: Maximum Loads Against Buckling of a Two-Force Strut
- Question 4: Stepped Shaft in Torsion
- Question 5: Rigid Beam on a Pin and Two Cables
- Question 6: Combined Axial and Bending Stress in an I-Beam
- Question 7: Shear and Moment Functions for a Cantilever
- Question 8: Composite Concrete–Steel Cantilever Beam
December 2014
- Question 1: Overhang-Beam Deflection by Integration
- Question 2: Stepped Shaft — Torsion
- Question 3: Truss — Buckling of a Compression Member
- Question 4: Mohr’s Circle for Plane Stress
- Question 5: Statically Indeterminate Cable Frame
- Question 6: Eccentric & Inclined Load on a Column
- Question 7: Shear & Moment Diagrams (Overhang Beam)
- Question 8: Stresses in a T-Beam
May 2014
- Question 1: Rigid Bar on a Pin and Two Cables
- Question 2: Shear and Moment Functions and Diagrams
- Question 3: Mohr's Circle for a Welded Axial Joint
- Question 4: Maximum Load on a Beam Propped by a Buckling Strut
- Question 5: Stepped Shaft with Distributed Torque
- Question 6: Combined Axial, Bending and Shear in an L-Shaped Frame
- Question 7: T-Beam – Bending and Shear Stress
- Question 8: Overhang Beam Deflection by the Method of Integration
December 2013
- Question 1: Beam Deflection by the Method of Integration
- Question 2: Plane Stress by Mohr's Circle
- Question 3: Largest Load on a Two-Rod Truss (Euler Buckling)
- Question 4: Combined Axial, Bending and Shear on a Cantilever
- Question 5: Statically Indeterminate Composite Axial Bar
- Question 6: Shear and Moment Functions, Diagrams and Inflection Point
- Question 7: I-Beam Cantilever – Bending and Shear Stress
- Question 8: Stepped Shaft in Torsion
May 2013
- Question 1: Overhang beam — deflection by integration
- Question 2: Plane stress — Mohr's circle
- Question 3: Two-rod truss — Euler buckling capacity
- Question 4: Eccentric column load — combined stress at the base
- Question 5: Rigid beam on a pin and two cables — statically indeterminate
- Question 6: Overhang beam — shear/moment functions and diagrams
- Question 7: Composite wood/steel beam — transformed section
- Question 8: Stepped circular shaft — torsion
Undated paper
- Question 1: Statically Indeterminate Rod-Hanger Assembly
- Question 2: Simply-Supported Beam Deflection by Double Integration
- Question 3: Shear/Moment Diagrams for an Overhanging Beam with a Tip Moment
- Question 4: Principal Stresses and Maximum Shear Stress by Mohr's Circle
- Question 5: Maximum Load on a Two-Bar Frame Governed by Column Buckling
- Question 6: Internal Torque, Maximum Shear Stress, and Angle of Twist in a Stepped Shaft
- Question 7: Steel/Wood Composite Beam — Transformed-Section Bending Stress
- Question 8: Combined Axial + Bending Stress in a Cable-Supported T-Beam