School of Civil, Urban and Geosystem Eng., SNU
Structural Analysis I –Final Exam
2013. 6. 19.
Prob. 1 State three assumptions for the Bernoulli beam, and derive the governing equation in terms of
the vertical deflection of the Bernoulli beam. (30 pts)
Prob. 2 Define the potential problem, and show that the governing equation of the potential problem
satisfying the conservation law is given as the Laplace equation. (30pts)
Prob. 3 Prove the reciprocal theorem and the principle of virtual work for beam structures using the
conservation of energy. (40 pts)
Prob. 4 Obtain the influence line for the reaction force at the center support. The span length of each
span is L. (40 pts.)
EI
EI
Prob. 5 Derive the flexibility equations for the analysis of the truss shown below when the temperature
of member A increases by DT.
The coefficient of thermal expansion is a, and the axial rigidities of
all members are constant as EA. Do not solve the flexibility equations. (30 pts.)
2@L = 2L
L
A
P
Structural Analysis Lab.
School of Civil, Urban and Geosystem Eng., SNU
Prob. 6 Identify the order of the following plane frame, and form the flexibility equation to analyze the
structure. It is not required to solve the flexibility equation. Neglect the axial and shear deformation.
The flexural rigidity of each member is constant as EI. (30pts.)
q
L
L
I hope you enjoy the class !!!!
Have a nice summer vacation !!!
Structural Analysis Lab.