Deflection of determinate structure and analysis of indeterminate structure
Problem 1 - Deflection Calculation
A truss is shown in the following figure. Compute the vertical deflection of joint G of the truss for the situation described in each of the following questions. Use method of virtual work. For all bars, area A = 400 mm2, E = 200 GPa. Support at A is a pin, support B is a roller. All truss joints are pins.
a) The loads acting as shown in figure.
b) Temperature rise of 600C of members AB and BC. Take coefficient of thermal expansion, α = 12 × 10-6/0C.
c) If member CE is fabricated 6 mm too short.
d) What is the total vertical deflection at G due to all effects i.e. a, b and c?
Problem 2 - Analysis of Indeterminate structure
Use Force Method to compute all the support reactions for the following beam and draw the bending moment diagram. A is a pin support, and B & C are roller supports. EI is constant. The load value P must be calculated using your student ID and the following equation:
p(kN) = (√(Student ID)) - Constant
Round result UP to the nearest whole number
The value of constant is given in following table.
| Student ID |
Constant |
| First two digits of your student ID starts with 20 |
14000 |
| First two digits of your student ID starts with 21 |
14500 |
| First two digits of your student ID starts with 50 |
22300 |
| First two digits of your student ID starts with 70 |
26400 |
For example if your student ID is 213456789, then sqrt(213456789) = 14610.16 and rounded up to nearest whole number = 14611. Constant from table for student ID started with 21 = 14500. Hence, P =14611-14500 = 111 kN
This is an example only, students must use P as per above calculation using your own student ID number for all Problem 2 calculations.
