Strength of Materials 3
PROBLEMS:
Problem 1.
A prismatic pile 12 m long is to be lifted by a
crane from a horizontal position to a vertical
position by means of a single sling attached at a
distance “x” from the top of the pile. The pile
weighs 4.8 kN per linear meter.
1.
If x = 3 m, determine the maximum positive
moment developed in the pile during the lifting
procedure.
2.
If x = 3 m, determine the maximum negative
moment developed in the pile during the lifting
procedure.
3.
Determine the value of “x” so that the
maximum moment in the pile is minimum.
Problem 3.
Problem 5.
A beam AB 15m long is simply supported at points
A and B. It carries a uniformly varying load
ranging from 230 N/m at A to 500 N/m at B.
The shear diagrams for 2 beams are shown
below. Reconstruct the load diagram and draw
the moment diagram. Indicate the location of
inflection points.
N/m
B
15 m
1.
Determine the maximum shear in the beam.
2.
Find the distance of the point of maximum
moment from A.
3.
Calculate the maximum moment in the beam.
Problem 4.
Problem 2. CE Board: November 2010
Given the shear diagram for the beam ABCDE.
Two uniform loads of 112 kN/m are acting
downward on the concrete pad shown. The
pressure “q” under the pad is uniform.
12 kN
1.5m
2.0m
1m 1m
1.5m
1.0m
1.
Determine the maximum shear.
2.
Determine the max. moment.
3.
Determine the distance from the left where the
flexural stress is zero.
2°
B
q
1.0m
9 kN
3m
-18 kN
1.5 m
1.
Determine the maximum intensity of the
triangular load.
2.
Determine the magnitude of the couple acting
at point B of the beam.
3.
Calculate the moment at critical points.
4.
Identify the location of all points of inflection.