SAN3601 Assignment 1 – 2021
Question 1 (30 marks)
A continuous beam ABCD is shown in Figure 1, the beam has a constant stiffness EI (with E = 200
GPa and I = 150 x 106 mm4) and the support at B sinks 18 mm. Using Claperyon’s theorem,
determine the following:
1.1 The reactions at supports A, B, C and D
(21)
1.2 Draw the shear force and bending moment diagrams for the beam ABCD
(6)
1.3 Calculate the maximum bending stress on the beam ABCD assuming a rectangular cross-section
with a height of 300 mm.
(3)
22 kN/m
18 kN/m
120 kN
kN
A
5m
5m
B
8.5 m
C
6.5 m
FIGURE 1
Question 2 (20 marks)
2.1. Calculate bending moments at the supports of the beam shown in Figure 2 using slope
deflection method
(14)
2.2. Draw bending moment diagram
(6
FIGURE 2
TOTAL: 50 MARKS
D