PE218 Mechanics of Materials
Sheet no. 2
“Bending and Torsion”
Problem no.1
Knowing that the couple shown acts in a
vertical plane, determine the stress at
point A and B.
Problem no.2
Knowing that the couple shown acts in a
vertical plane, determine the stress at
point A and B.
Sheet no.2
Page 1 of 4
Problem no.3
Knowing that σallowable =165 MPa for the steel
strip AB, determine:
a) The largest moment M that can be
applied
b) The corresponding radius of curvature
Problem no.4
A hollow cylindrical steel shaft is 1.5 m long
and has inner and outer diameters respectively
equal to 40 and 60 mm (as shown in Figure).
(a) What is the largest torque “T” that can
be applied to the shaft if the shearing
stress is not to exceed 120 MPa?
(b) What is the corresponding minimum
value of the shearing stress in the shaft?
Problem no.5
The bar shown in has a diameter of 20mm at
the free end and 24mm at the fixed end.
Determine the maximum shear stress
developed in the material at section 3, also at
point A, when two twisting moments of 5Nm
at section 1 and 8Nm at section 2 are applied.
Sheet no.2
Page 2 of 4
Problem no.6
Two forces P can be applied sperately or at the
same time to a plate that is welded to a solid
circular bar of radius r. determine the largest
compressive stress in the circular bar:
a) When both forces are applied
b) When only one of the forces is applied
Problem no.7
The figure shows a shaft of 25mm diameter
loaded by two forces 100N&200N and
twisting moments of 15Nm as shown in
Figure. The two points A & B at y-z plane are
subjected to a normal and shear stresses due to
bending, torsion, tension and transverse shear.
Find the normal and shear stresses at A & B in
the x,y&z directions.
Sheet no.2
Page 3 of 4
Problem no.8
knowing that the allowable stress in section
ABD is 70 MPa, determine the largest force P
that can be applied to the bracket shown.
Sheet no.2
Page 4 of 4