Introduction To Solid Mechanics (BCE402) - AKTU Question Paper 2024-25
B.Tech · Semester 4 · Free PDF Download
This is the official AKTU Introduction To Solid Mechanics Previous Year Question Paper for B.Tech Semester 4, academic session 2024-25. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.
Course:B.Tech
Semester:Semester 4
Session:2024-25
University:AKTU / UPTU
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Questions Asked in 2024-25
Introduction To Solid Mechanics (BCE402) — complete question paper · 70 marks · 3 Hours
Section AAttempt all questions in brief. 02 x 7 = 14
- aWrite the relationship between Young’s Modulus, Bulk Modulus, and Modulus of Rigidity
- bWhat is the significance of the point of contra flexure in a b ending moment diagram? Under what conditions does it occur?
- cDifferentiate between an overhan g i n g b e a m a n d a p r o p p e d c a n t i lever beam
- dExplain the procedure to determine the section modulus for a c ircular cross-section
- eDifferentiate between thin cylinders and thick cylinders in te rms of assumptions and stress distribution
- fDefine buckling and explain the meaning and importance of the slenderness ratio
- gDefine torsion. Provide two pr actical examples where a structu ral member experiences pure torsion
Section BAttempt any three of the following: 07 x 3 = 21
- aConsider an elemental block subject to uniaxial tension as s hown in figure below. Derive approximate expressions for the change of volume per unit volume due to this loading
- bThe beam AC is simply supported at A and C and subject to th e 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
- cDerive the expression for nor mal 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 st resses across the beam cross-section using a suitable diagram
- dState the failure criterion a nd provide the mathematical exp ression for each of the following failure theories: Maximum Principal Strain Theory Maximum Shearing Stress Theory Strain Energy Theory Distortion Ener gy Theory
- eWhat largest internal pressure can be applied to a cylindric al tank 1.8 m in diameter and 14 mm wall thickness if the ultimate tensile stren gth of steel used is 467 MPa and a factor of safety of 7 is desired?
Section CAttempt any one part of the following: 07 x 1 = 07
- aAn aluminum cube is subjected to a hydrostatic pressure of 2 .0 MPa. Due to this pressure, the volume decreases resulting in a dilatatio n of –1.2 × 10⁻⁵. If the Young’s modulus of the material is 210 GPa, determ ine the Poisson’s ratio of the material and also compute the bulk modulus
- bThe composite bar shown in Fig ure below is rigidly attached t o t h e t w o supports. T h e l e f t p o r t i o n o f t h e b a r i s c o p p e r , o f u n i f o r m c r o s s - s e c t i o nal area 80 cm2 and length 30 cm. The right portion is aluminum, of uniform cr oss- sectional area 20 cm2and 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 yields0.025 mm in the direction of the contracting metal. Determine the minimum temperature to which t he assembly may be subjected in order that the stress in the alumi num 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
- aThe simply supported beam shown in Figure carries a vertical load that increases uniformly from zero at the left end to a maximum valu e of 8000 N/m at the right end. Draw the shearing force and bending momen t diagrams
- bThe cantilever beam AC in Fig ure is loaded by the uniform lo ad of 600 N/m over the length BC together with the couple of magnitude 48 00 N⋅m at the tip C. Determine the shearing force and bending moment diagrams
- aA simply supported timber b eam 6 m long (refer Figure) carri es 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 i s not to exceed 8.25 MN/m² and 100 mm side is horizontal
- bA cantilever 3 m long has a T -section as shown in Figure. It carries a load of 1000 N at the free end. Calculate the maximum tensile and co mpressive stresses in the beam
- aA short column of rectangular cross-section 200 mm by 150 mm carries a load of 400 kN at a point 50 mm from longer side and 87.5 mm fr om the shorter side. What are the maxim um compressive and tensile stre sses in the section?
- bAt a point in a stressed body t he normal stresses are 83 N/mm2 (tensile) on
- avertical plane and 27.5 N/mm 2 (compressive) on a horizontal plane. A shearing stress of 41.4 N/mm 2 acts at this point. Determine and show on a sketch the principal stress and the maximum shearing stress at this point
- aDerive the expressions for the longitudinal strain, hoop str ain, and change in volume of a thin-walled cylindr ical shell subjected to a uni form internal pressure. Assume the cylinder is closed at both ends and thin e nough to apply thin cylinder theory
- bDerive the torsion equation fo r circular shafts. Also, list the assumptions made in the derivation
Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.
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