Q1.A triangular–shaped cantilever beam of uniform–thickness is shown in the figure.
The Young’s modulus of the material of the beam is E. A concentrated load P is
applied at the free end of the beam.
The area moment of inertia about the neutral axis of a cross-section at a distance
x measured from the free end is
Answer : Option BExplaination / Solution: No Explaination.
Q2.A triangular–shaped cantilever beam of uniform–thickness is shown in the figure. The Young’s modulus of the material of the beam is E. A concentrated load P is applied at the free end of the beam.
The maximum deflection of the beam is
Answer : Option DExplaination / Solution: No Explaination.
Q3.A cantilever beam of length L and flexural modulus EI is subjected to a point load P at the free
end. The elastic strain energy stored in the beam due to bending (neglecting transverse shear)
Q4.Consider a laminar flow at zero incidence over a flat plate. The shear stress at the wall is
denoted by τw. The axial positions x1 and x2 on the plate are measured from the leading edge
in the direction of flow. If x2 > x1, then
A mass m is attached to two identical springs having spring constant k as shown in the figure. The natural frequency 𝜔 of this single degree of freedom system is
Q6.A steel plate, connected to a fixed channel using three identical bolts A, B and C, carries a
load of 6kN as shown in the figure. Considering the effect of direct load and moment, the
magnitude of resultant shear force (in kN) on bolt C is.
Q7.A rod of length 20mm is stretched to make a rod of length 40 mm. Subsequently, it is
compressed to make a rod of final length 10mm. Consider the longitudinal tensile strain as
positive and compressive strain as negative. The total true longitudinal strain in the rod is
Q8.The principal stresses at a point in a critical section of a machine component are σ1 = 60MPa, σ2 = 5MPa and σ3 = -40 MPa. For the material of the component, the tensile
yield strength is σy = 200 MPa.
According to the maximum shear stress theory, the factor of
safety is
Q9.The cross sections of two hollow bars made of the same material are
concentric circles as shown in the figure. It is given that r3> r1 and
r4> r2, and that the areas of the cross-sections are the same. J1 and J2 are the torsional rigidities of the bars on the left and right,
respectively. The ratio J2/J1 is
Answer : Option AExplaination / Solution:
Torsional rigidity for any Shaft is given by,
J = GIP
Or J α IP (Polar moment of Inertia)
And for a hollow shaft,
Q10.A cantilever beam having square cross-section of side a is subjected
to an end load. If a is increased by 19%, the tip deflection decreases
approximately by
Answer : Option DExplaination / Solution:
From the deflection formula, for cantilever beam having point load at
its free end,
Hence, decrement in the deflection in percentage will be
Total Question/Mark :
Scored Mark :
Mark for Correct Answer : 1
Mark for Wrong Answer : -0.5
Mark for Left Answer : 0