CE 382 - Structural Analysis
Team Homework Assignment #6
Due Date: Tuesday – May 31, 2016
1. For the given beam problem above, calculate and draw the influence line equation for the
reactions at A and D, shear at C and the moment at B.
2. For the composite frame shown to the left,
calculate and draw the influence line for the
axial force in the struct DB, the vertical
reaction force at A, and the internal bending
moment at B.
3. For the truss shown on the
right, calculate the maximum
vertical reaction at A, maximum tension and compression
forces in members BF and
GF. NOTE: The stringers on
the beam ensure that only
joint loading is applied to the
truss.
4. For the simply supported beam
shown on the right, calculate the
maximum vertical reaction at A
and the maximum positive
bending moment at the center of
the beam.
Individual Homework Assignment #7 – Envelope Curves
Due: Tuesday – June 7, 2016
1. For points a, b, c, d, and e sketch the qualitative shear and moment influence line diagrams.
a
b
32m
c
d
e
32m
2. (Eight points) For WDL = 10 kN/m, WLL = 25 kN/m, A = 2000 mm2, I = 400 x 108 mm4, and
E = 200,000 MPa (200 kN/mm2); calculate the moment envelope values and plot the moment
envelope curves (positive and negative). (NOTE: You only need to consider maximum
positive and negative bending moments even though for a true envelope curve you would
have to consider all points between the supports.) Submit your computer output and the
spreadsheet computed envelope curves.
3. (Bonus four points) Repeat problem 2 for shear. Recall that shears are discontinuous at the
supports due to the support reactions. Thus, your spreadsheet calculations must include two
shear calculations at each interior support: one for the shear just to the left of the support and
one calculation for the shear just to the right of the support. Since the shears are maximums
at the supports, it is not necessary to consider interior shear poits. However, remember that
for a true envelope curve you would have to consider all points between the supports. Submit
your computer output and the spreadsheet computed envelope curves.