PE218 Mechanics of Materials
Sheet no. 1
“Normal and Shear Stresses”
Problem no.1
The specimen shown is made from a 20
mm diameter cylindrical steel rod with
two 25 mm outer-diameter sleeves
bonded to the rod as shown. It is
subjected to a 1.5 KN tensile load.
Determine the maximum normal stress.
Problem no.2
Rod ABC consists of two cylindrical portions
AB and BC; it is made of copper. A single
axial load of 58 KN is applied at the end of the
rod. Knowing that the ultimate tensile strength
is 820 MPa, find the maximum allowable
diameter d.
Sheet no.1
Page 1 of 4
Problem no.3
Two solid cylindrical rods AB and BC are welded together
at B and loaded as shown. Knowing that d1=50 mm and
d2=30 mm, find average normal stress at the midsection of
(a) Rod AB
(b) Rod BC
Problem no.4
Each of the links AB and CD is made of
aluminum (E = 75 GPa) and has a crosssectional area of 25*5 mm2. Knowing that
they support the rigid member BC, determine:
a) Average normal stress at link AB, CD.
b) Maximum normal stress at link AB, CD.
c) Shear stress in pin A (Given that its
diameter = 10 mm).
d) Maximum normal stress at link AB, CD.
e) Bearing stress at pin C.
f) Deflection at points B ,C
Sheet no.1
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Problem no.5
Each of the four vertical links has an 8*36 mm
uniform rectangular cross section and each of
the four pins has a 16 mm diameter. Determine
the maximum value of the average normal
stress in the links connecting
a) Points B and D
b) Points C and E
Problem no.6
When the force P reached 8 kN, the wooden
specimen shown failed in shear along the
surface indicated by the dashed line.
Determine the average shearing stress along
that surface at the time of failure.
Sheet no.1
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Problem no.7
The wooden members A and B are to be
joined by plywood splice plates that will be
fully glued on the surfaces in contact. As part
of the design of the joint, and knowing that the
clearance between the ends of the members is
to be 6mm, determine the smallest allowable
length L if the average shearing stress in the
glue is not to exceed 840 KPa.
Sheet no.1
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