ROMBLON STATE UNIVERSITY
COLLEGE OF ENGINEERING AND TECHNOLOGY
DEPARTMENT OF CIVIL ENGINEERING
PROBLEM SET NO. 1
NAME: _________________________
COURSE/YEAR/BLK: ______________
PROBLEM NO 1.
The homogeneous bar shown is supported by a smooth
pin at C and a cable that runs from A to B around the
smooth peg at D. Find the stress in the cable if its diameter
is 0.6 inch and the bar weighs 6000 lb.
SCORE: ________
DATE: _________
PROBLEM NO. 5
A 12-inches square steel bearing plate lies between an 8inches diameter wooden post and a concrete footing as
shown. Determine the maximum value of the load P if the
stress in wood is limited to 1800 psi and that in concrete to
650 psi.
FIGURE 1
PROBLEM NO. 2
A rod is composed of an aluminum section rigidly attached
between steel and bronze sections, as shown in the figure.
Axial loads are applied at the positions indicated. If P =
3000 lb and the cross sectional area of the rod is 0.5 in 2,
determine the stress in each section.
PROBLEM NO. 6
For the truss shown, calculate the stresses in members
CE, DE, and DF. The cross sectional area of each member
is 1.8 in2. Indicate tension (T) and compression (C).
FIGURE 6
PROBLEM NO. 3
An aluminum rod is rigidly attached between a steel rod
and a bronze rod as shown. Axial loads are applied at the
positions indicated. Find the maximum value of P that will
not exceed a stress in steel of 140 MPa, in aluminum of 90
MPa, or in bronze of 100 MPa.
PROBLEM NO. 7
Determine the cross-sectional
areas of member’s AG, BC,
and CE for the truss shown.
The stresses are not to exceed
20 ksi in tension and 14 ksi in
compression. A reduced stress
in compression is specified to
reduce the danger of buckling.
FIGURE 7
PROBLEM NO. 4
Determine the largest weight W that can be supported by
two wires shown. The stress in either wire is not to exceed
30 ksi. The cross-sectional areas of wires AB and AC are
0.4 in2 and 0.5 in2 respectively.
FIGURE 4
Engr. Nikko Reymon R. Manito
PROBLEM NO. 8
Find the stresses in members
BC, BD, and CF for the truss
shown. Indicate the tension or
compression. The crosssectional area of each member
is 1600 mm2.
FIGURE 8
PROBLEM NO. 9
The homogeneous bar ABCD shown is supported by a
cable that runs from A to B around the smooth peg at E, a
vertical cable at C, and a smooth inclined surface at D.
Determine the mass of the heaviest bar that can be
supported if the stress in each cable is limited to 100 MPa.
Mechanics of Deformable Bodies
The area of the cable AB is 250 mm2 and that of the cable
at C is 300 mm2.
(c) Determine the cross-sectional area of bars BF so that
the stresses will not exceed 100 MN/m2 in tension or 80
MN/m2 in compression.
PROBLEM NO. 14
The bars of the pin-connected frame shown are each 30
mm by 60 mm in section.
FIGURE 9
PROBLEM NO. 10
A homogeneous 800 kg bar AB is supported at either end
by a cable as shown. Calculate the smallest area of each
cable if the stress is not to exceed 90 MPa in bronze and
120 MPa in steel.
PROBLEM NO. 11
A hollow steel tube with an inside
diameter of 100 mm must carry a
tensile load of 400 kN. Determine
the outside diameter of the tube if
the stress is limited to 170 MN/m2.
PROBLEM NO. 12
For the truss shown, the
cross-sectional area of
each member is 1200
mm2.
(a) Compute the stress
in member DF.
(b) Compute the stress
in member CE.
(c) Compute the stress
in member BD.
(a) Determine the maximum load P that can be applied so
that the stresses of bar AB will not exceed 100 MN/m 2 in
tension or 80 MN/m2 in compression.
(b) Determine the maximum load P that can be applied so
that the stresses of bar BC will not exceed 100 MN/m2 in
tension or 80 MN/m2 in compression.
(c) Determine the maximum load P that can be applied so
that the stresses of bar AC will not exceed 100 MN/m 2 in
tension or 80 MN/m2 in compression.
PROBLEM NO. 15
Part of the landing gear for
a light plane is shown.
Determine the compressive
stress in the strut AB
caused by a landing
reaction R = 20 kN. Strut
AB is inclined at 53.1o with
BC. Neglect weights of the
members.
PROBLEM NO. 13
For the truss shown a
reduced
stress
in
compression
is
specified to avoid the
danger of buckling.
(a) Determine the crosssectional area of bars
CF so that the stresses
will not exceed 100
MN/m2 in tension or 80
MN/m2 in compression.
(b) Determine the cross-sectional area of bars BE so that
the stresses will not exceed 100 MN/m2 in tension or 80
MN/m2 in compression.
Engr. Nikko Reymon R. Manito
Mechanics of Deformable Bodies