Assignment-3
Engg. Mechanics, ME1101, MME Due Date: 17/02/2022
Note: details steps are required.
1. Find the magnitude of the bending moment in a cantilever beam shown in figure 1 at
a distance of 0.5 m from the fixed end.
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2.
Calculate the supporting force and moment at the fixed end of the cantilever beam Moment
shown in figure 2.
3.
Which of the following statements are always true (One or more options may be
correct) ?
A point load causes a finite jump in the shear force diagram at the corresponding location
A point load causes a discontinuity in the bending moment diagram at the corresponding location.
A point load causes a sudden change in the slope of the shear force diagram at the
corresponding location.
A point load causes a sudden change in the slope of the bending moment diagram at the
corresponding location.
None of the above.
4. What is the reaction force exerted by the roller on the simple supported beam shown in figure 3 ?
Figure 3
1400 N
1900 N
900 N
1000 N
500 N
5. For the same beam shown in the previous question, calculate the maximum bending moment and its
corresponding location on the beam (as measured from the pinned joint).
3000 Nm and 4 m
2450 Nm and 5 m
2950 Nm and 5 m
3250 Nm and 3 m
2500 Nm and 4 m
6. Which of the following statements are true for the three scenarios illustrated in the given figure?
The supporting moment at the fixed end is largest in magnitude for (b).
The supporting moment at the fixed end is the same for (a), (b) and (c).
The shear force at the fixed end is the same for (a), (b) and (c).
The supporting moment at the fixed end is smallest in magnitude for (a).
The supporting force at the fixed end for (c) is greater in magnitude than (a) and (b).
7. A force of 1600 N acts on a strut attached to a simply supported beam, as shown in the figure. What is
the distance (in metres) from the pinned joint of the beam where the bending moment is zero? Round
your answer to the first two decimal places.
8. The shear force in Newtons in a 1-metre-long beam can be given by V=100x−2x3, where x is
the distance in metres measured along the beam. If the bending moment M at x =
0.5m is 100Nm, find the bending moment at x = 0.2m. Express your answer in Nm rounded
to two decimal places.
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