ADDIS ABABA UNIVERSITY

ADDIS ABABA INSTITUTE OF TECHNOLOGY

DEPARTMENT OF CIVIL ENGINEERING

Theory of structures II (CENG 2502) Date: April 20, 2013

Mid Semester Exam Time Allowed: 3 Hrs.

INSTRUCTION:

Attempt all Questions.

Part I: Basic concepts and Definitions

1. What are the basic assumptions for the derivation of slope deflection equation?

2. Define the following terms

a) kinematic indeterminacy

b) Fixed End Moments /FEM/

3. List the necessary steps for the analysis of indeterminate structures using slope deflection

method.

Part II:

4. Discuss the degree of kinematic indeterminacy for the trusses as shown in fig 1 below.

Plane Truss

Fig 1 (a) Fig 1 (b)

5. For the structures as shown in fig 2, discuss the degree of kinematic indeterminacy.

a) Consider axial deformation

b) Neglect axial deformation

Fig 2 (b)

Fig 2 (a)

Fig 2 (c)

6. For the frame as shown in fig 3, Using slope deflection method, determine the internal

moments at the joints ,if support C sinks by 20mm. EI = 3x106KN.m

2 .Draw the Shear

force and Bending moment Diagrams,

Fig 3

7. Analysis the frame shown in Fig 4, by using slope

deflection method.

Fig 4