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Homework answers / question archive / QUESTION 1 (Mark 8/15) Consider the structure and the corresponding crosssection shown below
Consider the structure and the corresponding crosssection shown below. Use the stiffness method to calculate:
In your solution select the type of element which is most appropriate for the structure considered and briefly explain the reason for your choice.
Provide all details and steps performed in your solution. Also, clearly state the sign convention adopted in your calculations and make sure to use the location vectors illustrated below. Assume E to be 200 GPa.












A 

C 

6 

kN/m 

6 

m 

B 

8 

m 

location vector 

2 

8 

m 

1 

locati 
on vector 

200 x 12
100 x 12
Crosssection
(all dimensions are in mm)
Consider the structure and the corresponding crosssection shown below. Use the moment distribution method to calculate: (i) the amount of sway undergone at node C;
Moment Diagram (BMD) and provide significant values on the diagram
Provide all steps and details of your solution. Assume E to be 200 GPa.

















A 

C 

w 


= 
5 

kN/m 

m 
10 

5 

m 

D 

B 


20 
kN 

2 

m 

Crosssection (all dimensions are in mm):
^{ }15 130
^{ }130
NOTE: 1. Dashed lines are dimension lines.
M




L 


M 
FE.A 

A 

B 

w^{ }FE.B
M FE.A wL2 /12 M FE.B wL2 /12




L 


w 


M 
FE.B 


M 
FE.A 

A 

B 

20 
/ 
2 
FE.A 
wL 
M 


30 
/ 
2 
FE.B 
wL 
M 



L 


w 

A 

B 




M 
FE*.A 

8 
/ 
2 
.A 
* 
FE 
wL 
M 




L 


w 

A 

B 




M 
FE*.A 

M FE*.A wL2 /15




a 


P 

b 

L 


M 
FE.B 


M 
FE.A 

A 

B 

2 
2 
FE.A 
/ 
L 
Pab 
M 


2 
2 
FE.B 
/ 
L 
b 
Pa 
M 

M







L 

FE.A 

A 

B 

' 

M_{FE.B}
M FE.A 6EI'/L2 M FE.B 6EI'/L2


a 


P 

b 

L 


M 
FE*.A 

A 

B 







2 
2 
2 
.A 
* 
FE 
/ 
2 
/ 
L 
P 
b 
a 
ab 
M 




' 







L 

M 
FE*.A 


A 

B 

2 
.A 
* 
FE 
/ 
3 
L 
EI 
M 
' 

