ECMM149: Coursework 2 – Structural Analysis

1. For the structure in Figure 1, first determine the degree of static indeterminacy. Then draw
clear sketches of
a. bending moment diagram,
b. shear force diagram and
c. deformed shape, indicating points of contraflexure.
and explain the steps you went through to get the final solutions.

2. For the structure in Figure 2 find the following by using the slope deflection method:
a. determine the number of unknown displacements and sketch them,
b. calculate unknown displacements and draw the deformation diagram,
c. calculate bending moments and sketch the diagram,
d. calculate and sketch the shear force diagram (based on the previously calculated
bending moment diagram),
e. find axial force diagram by using equations of force equilibrium at joints and
f. find all reaction forces/moments.



3. For the structure in Figure 2, by using the stiffness matrix method, do the following :
a. sketch a local coordinate system for each element,
b. sketch all degrees of freedom,
c. determine the number of unknown displacements and list them,
d. calculate unknown displacements,
e. calculate and sketch bending moment, shear force and axial force diagrams,
Figure 1: Structure for problem 1
8 m
6 m 6 m
50 kN/ m
a
b
c
d
Figure 2: Structure for problem 2 and 3
Section properties
for all members
I = 0.000675 m4
A = 0.09 m2
E = 30 GPa

f. find all reaction forces/moments, and
g. check the diagrams calculated with those obtained by the slope deflection method
while commenting on any similarities/differences.

Marking scheme:

Q1 Total Q1: 24/100
(a) 8
(b) 8
(c) 8
Q2 Total Q2: 36/100
(a) 3
(b) 10
(c) 5
(d) 5
(e) 6
(f) 7
Q3 Total Q3: 40/100
(a) 2
(b) 2
(c) 3
(d) 10
(e) 8
(f) 10

学霸联盟