A vertical steel rod is fixed at the top and supports

3. A vertical steel rod is fixed at the top and supports an 8-kN load at the lower
end. The rod is 10mm n diameter and 25 mm long. Unit weight of steel is 77
kN/m
3
. What is the total elongation of the rod?
A. 12.732 mm
B. 12.853 mm
C. 12.973 mm
D. 12.612 mm

4. A hallow circular tube has an outside diameter of 85 mm and is 5 mm thick. The
tube is fixed (cantilever) at one end and subjected to a torque of 4 kN-m at its
free end. What is the maximum shearing stress in the tube?
5. A decorative concrete beam is simply supported over a span of 6 m. The beam
weighs 4 kN/m and the cracking moment is 38 kN-m. What is the safe uniform
load of the beam?
6. A 2.8 m cantilever beam carries a uniformly distributed load of 20 kN/m
throughout its length and a concentrated load of 30 kN at a point 2 meters from
the fixed end. What is the bending moment at the fixed end?
7. A 12 m long beam is simply supported at the left end and at 3 m from the right
end. The beam will be subjected to a uniformly distributed moving load. What
total length of the beam must be subjected to this load to produce maximum
negative moment at midspan?
A. 9 m
B. 3 m
C. 7.5 m
D. 4.5 m
Situation 1 – The hook is
subjected to three forces P, Q
and S as shown. P = 35 kN and Q
= 45 kN.
8. Determine the angle
such that the resultant of
the three forces is 80 kN
acting horizontally to the
right.

1. If angle  = 60°, find the magnitude of the force S such that the resultant
force is horizontal to the right.

2. Find the magnitude of the force S such that the three forces are in equilibrium.
Situation 2 – The
horizontal distance from A
at one end of the river to
frame C at the other end is
20 m. The cable carries a
load of W = 50 kN. The sag
“d” of the cable is 1 m.
3. Find the distance x
1
such that the tension in segment AB of the cable is equal
to that segment BC.
A. 9 m
B. 10 m
C. 12 m
D. 11 m