22-Mec-A7 Advanced Strength of Materials
Worked solutions to 13 past sittings (2013–2019), 102 questions. Pick a sitting, or start from a topic below.
- December 2019
- December 2018
- May 2018
- December 2017
- May 2017
- December 2016
- May 2016
- 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.
- Strain compatibility (8 sittings): December 2018 Q4 · May 2018 Q3 · December 2017 Q5 · December 2016 Q4 · December 2014 Q3 · May 2014 Q5 · May 2013 Q5 · Undated paper Q2
- Torque (7 sittings): December 2019 Q6 · May 2018 Q5 · May 2017 Q5 · December 2016 Q7 · May 2015 Q7 · May 2014 Q3 · Undated paper Q4
- Thick-Walled Cylinder (5 sittings): December 2018 Q3 · May 2018 Q2 · December 2017 Q4 · May 2017 Q1 · December 2013 Q5
- Displacement field (4 sittings): December 2018 Q4 · December 2017 Q5 · December 2016 Q4 · May 2014 Q5
- Von Mises (4 sittings): May 2018 Q2 · December 2017 Q4 · December 2013 Q5 · Undated paper Q8
- Inverse Problem (3 sittings): May 2018 Q4 · December 2017 Q6 · May 2014 Q2
- Plane-Stress Plate (3 sittings): December 2018 Q1 · December 2017 Q6 · May 2014 Q2
- Shear Flow (3 sittings): May 2018 Q8 · December 2017 Q2 · May 2016 Q8
- Square Bar under Axial Load (3 sittings): May 2018 Q5 · May 2014 Q6 · Undated paper Q4
- Tresca (3 sittings): May 2018 Q2 · December 2017 Q4 · Undated paper Q8
- Allowable internal pressure (2 sittings): December 2018 Q3 · May 2017 Q1
- Flexural (2 sittings): December 2013 Q6 · May 2013 Q7
- Overhang Beam (2 sittings): May 2018 Q7 · May 2014 Q8
- Overhanging beam (2 sittings): May 2017 Q8 · December 2014 Q2
- Plane-Stress Square Plate (2 sittings): December 2013 Q2 · May 2013 Q6
Questions by sitting
December 2019
- Question 1: Plate under biaxial stress — plane stress vs. plane strain
- Question 2: Bar under combined axial, torsional and transverse load
- Question 3: Thick-walled hydraulic cylinder — pressure at yield
- Question 4: Displacement field of a deformed parallelepiped
- Question 5: Stepped composite bar with an end gap
- Question 6: Minimum shaft diameter under axial load and torque
- Question 7: Deflection of a two-bar pin-connected structure
December 2018
- Question 1: Plane-stress plate — back-out of σ x and E
- Question 2: Strain rosette on a bar under torsion + axial load
- Question 3: Thick-walled cylinder — allowable internal pressure
- Question 4: Strain compatibility and displacement field
- Question 5: Three welded rods between rigid walls
- Question 6: Square cantilever bar — axial + torsion design (Tresca, SF = 3)
- Question 7: Joint displacement of a three-element truss (Castigliano / virtual work)
- Question 8: Truss member forces by virtual work (FG, GD, CD)
May 2018
- Question 1: Displacement of a Three-Bar Truss
- Question 2: Thick-Walled Cylinder — Tresca and Von Mises
- Question 3: Strain Compatibility and Recovery of Displacements
- Question 4: Biaxial Plate — Inverse Problem and Principal Stresses
- Question 5: Square Bar under Axial Load and Torque — Tresca vs Von Mises
- Question 6: Strain Rosette — Transformation, Principal Strains and Yield
- Question 7: Overhang Beam — Sizing a Load by Castigliano’s Theorem
- Question 8: Shear Flow and Shear Centre of an Unequal-Flange Z-Section
December 2017
- Question 1: Displacement of a Three-Bar Truss by an Energy Method
- Question 2: Shear Flow, Shear Centre and Maximum Shear Stress in a Channel
- Question 3: Semicircular Curved Beam by Castigliano’s Theorem
- Question 4: Thick-Walled Cylinder — Tresca and Von Mises
- Question 5: Strain Compatibility and Displacement Field
- Question 6: Plane-Stress Plate — Inverse Problem
- Question 7: Combined Axial Load and Torque from a Strain Rosette
- Question 8: Allowable Force on an Overhanging Beam by Castigliano
May 2017
- Question 1: Thick-Walled Cylinder – Allowable Internal Pressure
- Question 2: Displacement Field of a Parallelepiped
- Question 3: Factor of Safety of a Stressed Plate
- Question 4: Three Welded Rods Between Rigid Walls
- Question 5: Square Bar under Axial Force and Torque
- Question 6: Three-Element Strain Rosette
- Question 7: Displacement of a Three-Member Truss Joint
- Question 8: Overhanging Beam – Force for a Deflection Limit
December 2016
- Question 1: Displacement of a three-element pin-jointed truss
- Question 2: Beam deflection by Castigliano’s theorem
- Question 3: Allowable pressure in a thick-walled cylinder
- Question 4: Strain compatibility and displacement field
- Question 5: Welded three-rod assembly between rigid walls
- Question 6: Biaxial stresses in a thin plate and factor of safety
- Question 7: Torque and axial load from a strain-gauge rosette
- Question 8: Member forces in a truss by an energy method
May 2016
- Question 1: Truss member forces by an energy method
- Question 2: Thermal stresses in a two-segment welded rod
- Question 3: Allowable pressure in a thick-walled cylinder
- Question 4: Inverse plane-stress problem for a square plate
- Question 5: Buckling of a slit thin-walled column
- Question 6: Compatibility and displacements of a strain field
- Question 7: Square bar under axial load plus torque
- Question 8: Shear flow and shear centre of a channel section
May 2015
- Question 1: Displacements of a Pin-Jointed Truss Joint
- Question 2: Overhang-Beam Tip-Deflection Limit
- Question 3: Allowable Pressure in a Thick-Walled Cylinder
- Question 4: Strain State from a Prescribed Displacement Field
- Question 5: Welded Rod Assembly Between Rigid Walls
- Question 6: Plane-Stress Yield Check and Stress Rotation
- Question 7: Sizing a Square Bar Under Axial Load and Torque
- Question 8: Strain-Rosette Reduction on a Thin Plate
December 2014
- Question 1: Buckling of the tubular compression strut BC
- Question 2: Overhanging beam — tip force for a 1 mm deflection limit
- Question 3: Strain compatibility and integration of a plane strain field
- Question 4: Plane-stress yielding and stress transformation
- Question 5: Three-element (0°/60°/120°) strain rosette
- Question 6: Circular ring with a rigid diametral bar under a tensile pull
- Question 7: Allowable internal pressure of a thick-walled cylinder
- Question 8: Three welded rods between rigid walls (indeterminate axial)
May 2014
- Question 1: Displacements of a Fixed–Fixed Stepped Rod
- Question 2: Plane-Stress Plate — Inverse Problem
- Question 3: Torque and Axial Load from a Strain-Gauge Rosette
- Question 4: Allowable Pressure in a Thick-Walled Cylinder
- Question 5: Strain Compatibility and Displacement Field
- Question 6: Square Bar under Axial Load and Torque — Design by Max-Shear
- Question 7: Joint Displacements of a Three-Bar Truss
- Question 8: Overhang Beam — Force for a Limiting Tip Deflection
December 2013
- Question 1: Two-Segment Rod — Uniform Heating Between Rigid Supports
- Question 2: Plane-Stress Square Plate — Inverse Determination
- Question 3: Strain-Gauge Rosette on a Bar in Tension and Torsion
- Question 4: Beam Deflection at B by Castigliano’s Theorem
- Question 5: Thick-Walled Cylinder — von Mises and Tresca Pressure Limits
- Question 6: Buckling of a Slit (Open) Thin Tube — Flexural vs Torsional
- Question 7: Truss Member Forces by the Principle of Virtual Work
May 2013
- Question 1: Beam Displacement by an Energy Method
- Question 2: Two-Segment Rod — Thermal Stress in a Statically Indeterminate Bar
- Question 3: Strain-Gauge Rosette on a Bar in Combined Torsion and Tension
- Question 4: Allowable Pressure in a Thick-Walled Cylinder
- Question 5: Strain Compatibility and Recovery of Displacements
- Question 6: Plane-Stress Square Plate — Back-Calculating σ x , v, ε z
- Question 7: Buckling of a Slit-Tube Column — Flexural and Torsional Modes
- Question 8: Truss Member Forces by the Principle of Virtual Work
Undated paper
- Question 1: Semicircular curved beam by Castigliano
- Question 2: Strain compatibility and displacements
- Question 3: Rods between rigid walls
- Question 4: Square bar under axial load and torque
- Question 5: Three-element truss displacement
- Question 6: Five-cable cluster by Castigliano
- Question 7: Strain rosette on a plate
- Question 8: Thick cylinder: Tresca vs Von Mises