AKTU Introduction to Solid Mechanics · Important Questions 2026Source: ryzenstudy.com PYQs
BCE402 Introduction to Solid Mechanics Important Questions 2026 (AKTU)
Repeat analysis + most-asked questions, unit-wise
What we did: built from all 4 AKTU Introduction to Solid Mechanics papers (2021-22–2024-25): 93 questions grouped into 63 distinct questions, 18 of which were asked in more than one paper.
- of marks were repeat questions
- 32%
- of marks were repeat questions
- questions asked in 2+ papers
- 18
- questions asked in 2+ papers
- papers analysed (2021-22–2024-25)
- 4
- papers analysed (2021-22–2024-25)
- units, mapped to current syllabus
- 5
- units, mapped to current syllabus
How much of the paper repeats?
- Repeats are real: when we checked each newer BCE402 paper against the papers before it, on average 32% of its marks were questions already asked in an earlier paper.
- 2023-24 paper: 22% of marks were repeats (4 of 5 repeated questions were in our top list).
- 2024-25 paper: 42% of marks were repeats (3 of 10 repeated questions were in our top list).
- Topic weightage is a guide, not a guarantee: our Tier 1 + Tier 2 topics covered 49% of the next paper's marks — picking the same number of topics at random would have covered about 50%.
Across 10 subjects and 23 papers we tested, 43% of marks repeated earlier questions on average.
1.Unit-wise most-asked questions
Ranked by how many papers asked them, then by how recently. Click a paper to open it.
Unit 1: Simple stress and strains
18% of past marks| Question | Asked |
|---|---|
| The composite bar shown in Figure below is rigidly attached to the two supports. The left portion of the bar is copper, of uniform cross-sectional area 80 cm² and length 30 cm. The right portion is aluminum, of uniform cross-sectional area 20 cm² and length 20 cm. At a temperature of 26°C the entire assembly is stress free. The temperature of the structure drops and during this process the right support yields 0.025 mm in the direction of the contracting metal. Determine the minimum temperature to which the assembly may be subjected in order that the stress in the aluminum does not exceed 160 MPa. For copper E = 100 GPa, α = 17 × 10 –6/°C, and for aluminum E = 80 GPa, α = 23 × 10–6/°C (see original paper) | Asked 2× |
| A straight bar 450 mm long is 10 mm diameter for the first 200 mm length and 20 mm in diameter for the remaining length. If the bar is subjected to an axial push of 19 kN, determine decrease in length of bar. Take E= 2 x 10⁵ N/mm | Asked 2× |
| Consider an elemental block subject to uniaxial tension as shown in figure below. Derive approximate expressions for the change of volume per unit volume due to this loading (see original paper) 7 marks2024-25 Q2(a) | Asked 1× |
| An aluminum cube is subjected to a hydrostatic pressure of 2.0 MPa. Due to this pressure, the volume decreases resulting in a dilatation of –1.2 × 10⁻⁵. If the Young’s modulus of the material is 210 GPa, determine the Poisson’s ratio of the material and also compute the bulk modulus 7 marks2024-25 Q3(a) | Asked 1× |
Unit 2: Shear Force and Bending Moment · Deflection of Beams
26% of past marks| Question | Asked |
|---|---|
| What is the significance of the point of contra flexure in a bending moment diagram? Under what conditions does it occur? | Asked 3× |
| How bending moment, shear force and intensity of loading are related? | Asked 3× |
| The beam AC is simply supported at A and C and subject to the uniformly distributed load of 300 N/m plus the couple of magnitude 2700 N ⋅m as shown in Figure. Write equations for shearing force and bending moment and make sketches of these equations (see original paper) | Asked 2× |
| The cantilever beam AC in Figure is loaded by the uniform load of 600 N/m over the length BC together with the couple of magnitude 4800 N⋅m at the tip C. Determine the shearing force and bending moment diagrams (see original paper) | Asked 2× |
Unit 3: Flexural Stresses · Shear Stresses
17% of past marks| Question | Asked |
|---|---|
| A simply supported timber beam 6 m long (refer Figure) carries a single concentrated load P. The beam has 100 mm by 300 mm rectangular cross- section. Determine the maximum value of P if the fiber stress is not to exceed 8.25 MN/m² and 100 mm side is horizontal (see original paper) | Asked 2× |
| Explain the procedure to determine the section modulus for a circular cross-section | Asked 2× |
| The T-section having flange of dimension 100 mm X 20 mm and web dimension 20 mm x 130 mm is subjected to a shear force of 100 kN. Draw the shear stress distribution diagram and find the maximum stress | Asked 2× |
| Derive the expression for normal stress in a beam subjected to pure bending (flexure). What are the fundamental assumptions made in deriving this bending equation? Illustrate the distribution of normal stresses across the beam cross-section using a suitable diagram 7 marks2024-25 Q2(c) | Asked 1× |
Unit 4: Principal Stresses and Strains · Theories of Failure · Short Columns and Struts
23% of past marks| Question | Asked |
|---|---|
| At a point in a stressed body the normal stresses are 83 N/mm² (tensile) on a vertical plane and 27.5 N/mm² (compressive) on a horizontal plane. A shearing stress of 41.4 N/mm² acts at this point. Determine and show on a sketch the principal stress and the maximum shearing stress at this point | Asked 2× |
| Define buckling and explain the meaning and importance of the slenderness ratio | Asked 2× |
| Using Euler’s formula, determi nethecriticalstressesforastrutof slenderness ratio 80, 160 and 200 under the condition of (i) Both ends hinged (ii) Both ends fixed | Asked 2× |
| Using Mohr's Circle to how to find principal stresses and angles. Write the procedure | Asked 2× |
Unit 5: Torsion of Circular Shafts · Thin Cylinders
17% of past marks| Question | Asked |
|---|---|
| Derive the torsion equation for circular shafts. Also, list the assumptions made in the derivation | Asked 2× |
| What largest internal pressure can be applied to a cylindrical tank 1.8 m in diameter and 14 mm wall thickness if the ultimate tensile strength of steel used is 467 MPa and a factor of safety of 7 is desired? 7 marks2024-25 Q2(e) | Asked 1× |
| Derive the expressions for the longitudinal strain, hoop strain, and change in volume of a thin-walled cylindrical shell subjected to a uniform internal pressure. Assume the cylinder is closed at both ends and thin enough to apply thin cylinder theory 7 marks2024-25 Q7(a) | Asked 1× |
| Differentiate between thin cylinders and thick cylinders in terms of assumptions and stress distribution 2 marks2024-25 Q1(e) | Asked 1× |
2.Topic weightage: which topics carry the marks
Blue = Tier 1 + Tier 2 (topics that carried ~80% of past marks). Grey = the rest. It shows where marks have gone, not a promise of what comes next.
SFD and BMD diagrams · U2
14.2% (cum 14%)
Principal stresses and Mohr's circle · U4
8.2% (cum 22%)
Buckling and Euler's formula · U4
7.5% (cum 30%)
Shear stress distribution · U3
5.7% (cum 36%)
Elastic constants · U1
5.1% (cum 41%)
Shear force and bending moment relations · U2
4.9% (cum 46%)
Theory of torsion · U5
4.8% (cum 50%)
Bending stress problems · U3
4.3% (cum 55%)
Thin cylinder stresses · U5
4% (cum 59%)
Section modulus · U3
3.9% (cum 63%)
Thin cylinder strains and volume · U5
3.8% (cum 66%)
Theories of failure · U4
3.8% (cum 70%)
Bars of varying section · U1
3.6% (cum 74%)
Stress, strain and Hooke's law · U1
3.6% (cum 77%)
Strain energy and loadings · U1
3.4% (cum 81%)
Theory of simple bending · U3
2.8% (cum 84%)
Macaulay and moment area methods · U2
2.6% (cum 86%)
Temperature stresses · U1
2.6% (cum 89%)
Slope and deflection · U2
2.5% (cum 91%)
Power transmitted by shafts · U5
2.1% (cum 93%)
Points of contraflexure · U2
1.8% (cum 95%)
Thin spherical shells · U5
1.8% (cum 97%)
Slenderness ratio and Rankine · U4
1.7% (cum 99%)
Combined bending and direct stress · U4
1.3% (cum 100%)
| Topic | Papers | Share |
|---|---|---|
| SFD and BMD diagrams · Unit 2 · Tier 1 | 4/4 | 14.2% |
| Principal stresses and Mohr's circle · Unit 4 · Tier 1 | 4/4 | 8.2% |
| Buckling and Euler's formula · Unit 4 · Tier 1 | 4/4 | 7.5% |
| Shear stress distribution · Unit 3 · Tier 1 | 3/4 | 5.7% |
| Elastic constants · Unit 1 · Tier 1 | 2/4 | 5.1% |
| Shear force and bending moment relations · Unit 2 · Tier 1 | 3/4 | 4.9% |
| Theory of torsion · Unit 5 · Tier 1 | 3/4 | 4.8% |
| Bending stress problems · Unit 3 · Tier 2 | 2/4 | 4.3% |
| Thin cylinder stresses · Unit 5 · Tier 2 | 2/4 | 4% |
| Section modulus · Unit 3 · Tier 2 | 4/4 | 3.9% |
| Thin cylinder strains and volume · Unit 5 · Tier 2 | 2/4 | 3.8% |
| Theories of failure · Unit 4 · Tier 2 | 2/4 | 3.8% |
| Bars of varying section · Unit 1 · Tier 2 | 2/4 | 3.6% |
| Stress, strain and Hooke's law · Unit 1 · Tier 2 | 3/4 | 3.6% |
| Strain energy and loadings · Unit 1 · Tier 2 | 2/4 | 3.4% |
| Theory of simple bending · Unit 3 · Tier 3 | 3/4 | 2.8% |
| Macaulay and moment area methods · Unit 2 · Tier 3 | 2/4 | 2.6% |
| Temperature stresses · Unit 1 · Tier 3 | 2/4 | 2.6% |
| Slope and deflection · Unit 2 · Tier 3 | 2/4 | 2.5% |
| Power transmitted by shafts · Unit 5 · Tier 3 | 2/4 | 2.1% |
| Points of contraflexure · Unit 2 · Tier 3 | 3/4 | 1.8% |
| Thin spherical shells · Unit 5 · Tier 3 | 2/4 | 1.8% |
| Slenderness ratio and Rankine · Unit 4 · Tier 3 | 1/4 | 1.7% |
| Combined bending and direct stress · Unit 4 · Tier 3 | 1/4 | 1.3% |
3.Paper pattern (2024-25)
| Section | Questions | Rule |
|---|---|---|
| A | 7 × 2 marks | Attempt all |
| B | 5 × 7 marks | Attempt any 3 |
| C | 11 × 7 marks | Attempt any 1 |
4.Study order
- 1SFD and BMD diagrams (Unit 2, Tier 1)
- 2Principal stresses and Mohr's circle (Unit 4, Tier 1)
- 3Buckling and Euler's formula (Unit 4, Tier 1)
- 4Shear stress distribution (Unit 3, Tier 1)
- 5Elastic constants (Unit 1, Tier 1)
- 6Shear force and bending moment relations (Unit 2, Tier 1)
- 7Theory of torsion (Unit 5, Tier 1)
- 8Bending stress problems (Unit 3, Tier 2)
- 9Thin cylinder stresses (Unit 5, Tier 2)
- 10Section modulus (Unit 3, Tier 2)
- 11Thin cylinder strains and volume (Unit 5, Tier 2)
- 12Theories of failure (Unit 4, Tier 2)
- 13Bars of varying section (Unit 1, Tier 2)
- 14Stress, strain and Hooke's law (Unit 1, Tier 2)
- 15Strain energy and loadings (Unit 1, Tier 2)
FAQ
Which units of BCE402 carry the most marks?
Unit 2 (Shear Force and Bending Moment · Deflection of Beams, 26% of past marks) and Unit 4 (Principal Stresses and Strains · Theories of Failure · Short Columns and Struts, 23% of past marks).
Do AKTU Introduction to Solid Mechanics questions repeat?
Yes. On average 32% of the marks in each newer BCE402 paper came from questions already asked in an earlier paper, and 18 questions have appeared in more than one paper.
How is this list made?
Every question from the 4 papers (2021-22–2024-25) was mapped to the current AKTU syllabus and grouped with the same question from other years. Questions are ranked by how many papers they appeared in, then by how recently.
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Note: this is based on past AKTU papers, not a guarantee. Questions are mapped to the current syllabus; topics that are no longer in the syllabus are left out.