B.TechSemester 42023-24Introduction To Solid MechanicsBCE402
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Introduction To Solid Mechanics (BCE402) - AKTU Question Paper 2023-24

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 2023-24. 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:2023-24
University:AKTU / UPTU

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Questions Asked in 2023-24

Introduction To Solid Mechanics (BCE402) — complete question paper · 70 marks · 3 Hours

Section AAttempt all questions in brief. 2 x 7 = 14
  • a
    What is maximum allowable working stress? 2 1
  • b
    Define the term proof resilience. 2 1
  • c
    Write the nature of SFD under uniformly Varying load. 2 2
  • d
    How bending moment, shear force and intensity of loading are r elated? 2 3
  • e
    Write the assumptions of pure bending. 2 4
  • f
    What is von Mises stress theory? 2 4
  • g
    Write the assumptions made in theory of torsion. 2 5
Section BAttempt any three of the following: 7 x 3 = 21
  • a
    A steel bar of square cross-section 35 mm x 35 mm, 500 mm lo ng is observed to stretch 0.2 mm under a pull of 100 kN. The same bar in single shear test under a force of 122.5 kN shows the distortio n of original right angel corners by 0.00125 radians. Determine the value of the four elastic constants of the materials
  • b
    An overhanging beam ABC of length 8m is simply supported at B & C over a span of 6m and the portion AB overhangs by 2m. Draw SFD and BMD if it is subjected to udl of 3kN/m over the portion AB and 4kN/m over the portion BC
  • c
    Find the expression for the nor mal stress at inclined plane when the member is subjected to bi-axial loading
  • d
    Explain with graphical representation of maximum principal s train theory
  • e
    A hollow circular shaft has external diameter of 125 mm and internal diameter 100 mm. Find the safe power can be transmitted if allo wable shear stress is 100 MPa and maximum angle of twist 4o for 3.5 m length. Take speed of shaft is 3 revolution per second and maximum torq ue to exceed by mean torque by 20%. Take G=80 GPa
Section CAttempt any one part of the following: 7 x 1 = 7
  • a
    Derive the expression for strain energy stored in a body whe n the load is applied gradually
  • b
    A steel rod of length L and uniform cross sectional are A is secured between two walls, as shown inn figure. Use L=1.5 m, E=200 GPa, α = 11.7 X 10 -6 / oC and ΔT = 80 oC. Calculate the stress for a temperature increase of ΔT for (i) The walls are fixed. (ii) Th e walls move apart a distance 0.5 m
  • a
    A simply supported beam of span 10m carries a concentrated l oad of 10kN at 2m from the left support and a uniformly distributed lo ad of 4 kN/m over the entire length. Sketch the shear force and bending moment diagram for the beam
  • b
    A simply supported beam with point load “W” at a distance ‘a ’ from support A. Determine slope at supports, deflection under load a nd maximum deflection by Macaulay’s Method
  • a
    Two circular beams where one is solid of dia. D and other is a hollow of outer dia. Do and the inner dia. D i are of same length, same material and of same weight. Find the ratio of section modulus of these circular beams
  • b
    The T-section having flange of dimension 100 mm X 20 mm and web dimension 20 mm x 130 mm is subj ected to a shear force of 100 k N. Draw the shear stress distribution diagram and find the maximum stress
  • a
    Using Mohr's Circle to how to find principal stresses and an gles. Write the procedure
  • b
    Using Euler’s formula, determi n e t h e c r i t i c a l s t r e s s e s f o r a s t r u t o f slenderness ratio 80, 160 and 200 under the condition of (i) Bo th ends hinged (ii) Both ends fixed
  • a
    Obtain an expression for thin spherical shell (i) Change in thickness (ii) Change in volume
  • b
    A cylindrical shell 3 m long which is closed at the ends has an internal diameter of 1 m and a wall thickness of 15 mm. Calculate the circumferential and longitudinal stresses induced and also change in the dimension of the shell, if it is subjected to an internal press ure of 1.5
  • 2
    Take E = 200 GN/m2 and 𝛍ൌ0.3

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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