B.TechSemester 42023-24Engineering Mechanics Strength MaterialBME402

Engineering Mechanics Strength Material (BME402) - AKTU Question Paper 2023-24

B.Tech · Semester 4 · Free PDF Download

This is the official AKTU Engineering Mechanics Strength Material 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

Engineering Mechanics Strength Material (BME402) — complete question paper · 70 marks · 3 Hours

Section AAttempt all q u e s t i o n s i n b r i e f . 2 x 7 = 1 4

a
What are the conditions of equilibrium
b
What is a cantilever truss?
c
Define principal planes and principal stresses
d
Define thermal stress and strain
e
What is bending stresses?
f
Define slenderness ratio
g
What are the criteria for thin cylinder shell?

Section BAttempt any three o f t h e f o l l o w i n g : 7 x 3 = 2 1

a
State and prove paralle logram law of forces
b
State and prove the theorem o f perpendicular axis applied to moment of inertia
c
Define torsion of shaft. Derive an expression for torsion eq uation of solid circular shaft subjected to torque T
d
Derive an expression for the E uler's crippling load for a long column with both ends are fixed
e
What are the effects on the dimensions of thin cylindrical s hell subjected in internal fluid pressure? Derive an expression for its change in dimensions

Section CAttempt any one p a r t o f t h e f o l l o w i n g : 7 x 1 = 7

a
Determine the forces in the members of the truss shown in Fi g
b
Draw the S.F. and B.M. diagrams of a simply supported beam o f length 7 m carrying uniformly distributed loads as shown in Fig
a
A rectangular hole is made in a triangular section as shown in Fig. Determine the moment of inertia of the section about X-X axis passing through its center of gravity and the base BC
b
A plane element in a boiler is subjected to tensile stresses of 400 MPa on one plane and 150 MPa on the other at right angle to the former. Each of the above stresses is accompanied by a shear stress of 100 MPa such that when associated with the major tensile stress tends to rotate the element in an anti clockwise direction. Find
a
Principal stresses and their directions. (b) Maximum shearing stresses and directions of the plane on which they act
a
Determine the slope and defl ection of simply supported beam of length l subjected a uniformly distributed load w over the length of beam by Macaulay’s method
b
A solid steel shaft has to transmit 100 kW at 160 r.p.m. Tak ing allowable shear stress as 70 MPa, find the suitable diameter of the shaft. The maximum torque transmitted in each revolution exceeds the mean by 20%
a
Drive an expression for bending stresses of leaf spring of s pan length l, width b, thickness t, number of plates n, subjected to load w
b
Find the Euler’s crippling load for a hollow cylindrical ste el column of 38 mm external diameter and 2.5 mm thick. Take length of the column as 2.3 m a nd hinged at its both ends. Take E = 205 GPa. Also determine crippling load by Rankin e’s formula using constants as 335 MPa and 1/7500
a
A cast iron pipe of 400 mm internal diameter and 100 mm thic kness carries water under
a
pressure of 8 N/mm2. Determine the maximum and minimum intensities of hoop stress across the section. Also sketch the radial pressure distributio n and hoop stress distribution across the section
b
A cylindrical shell of 500 mm diameter is required to withst and an internal pressure of 4 MPa. Find the minimum thickness of the shell, if maximum tens ile strength in the plate material is 400 MPa and efficiency of the joints is 65%. Take factor of safety as 5

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.

Repeated Questions — BME402

Questions that appeared in more than one session, found by comparing 3 years of Engineering Mechanics Strength Material papers (2023-24, 2024-25, 2025-26)

Draw the S.F. and B.M. diagrams of a simply supported beam o f length 7 m carrying uniformly distributed loads as shown in Fig