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CVEN3301 Structural Analysis and Modelling – QUIZ 3 Time allowed: 50 minutes

Exam conditions: CLOSED BOOK (a data sheet is provided)

Number of questions: 1

SURNAME: ___________________ FIRST NAME:__________________ ID:________________ QUESTION:

A linear elastic truss is loaded as shown (dimensions in meters). Using a stiffness analysis:

1) Calculate the global stiffness matrices of the members. 2) Calculate the stiffness matrix of the structure. 3) Calculate the vertical and horizontal displacements at point B. 4) Calculate the axial forces in members BC and BD. 5) Calculate the force in member BC if it is heated by ∆T=30ºC in addition to the applied load. 6) What should be the cross-section area A of member BD so that the horizontal displacement

at point B be half the one calculated at section 3.

DATA SHEET

θλθλ sin,cos == yx

−

−=

EA/LEA/LEA/LEA/L

k ; ;00

00C

=

yx

yx

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−−−−

−−−−

==

22

22

22

22

T

LEACkCk

yyxyyx

yxxyxx

yyxyyx

yxxyxx

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