FINAL EXAMINATION SEMESTER I, SESSION 2015/2016

Transcription

1 SK 3243 / S IN EXMINTION SEMESTER I, SESSION 2015/2016 OURSE OE : SK 3243 / S 3243 OURSE : THEORY O STRUTURES PROGRMME : SKW / SW URTION : 2 HOURS 30 MINUTES TE : ERURY, 2016 INSTRUTION TO NITES : 1. NSWER QUESTION Q1 N THREE OTHER QUESTIONS ONY. WRNING! Students caught copying/cheating during the examination will be liable for disciplinary actions and the faculty may recommend the student to be expelled from the university. This examination question paper consists of ( 7 ) printed pages only.

2 SK 3243 / S Q1. non-sway plane frame structure is shown in igure Q1 where the moments of inertia of columns are twice the moments of inertia of the beams. Supports and are pinned whilst supports E is fixed. The Young s Modulus, E, for all members are constant. The beam is subjected to a point load of 100 kn at and a distributed load of 20 kn/m acts along span as indicated in the figure. nalyse the frame by using the moment distribution method. You should carry out three cycles of balancing to obtain the end moments for all members. (18 marks) alculate the horizontal support reaction at of the frame. raw the shear force and the bending moment diagram for members -- only whilst indicating all important values. (34 marks) 100 kn 20 kn/m I I 10 m 2I 2I E 5 m 10 m IGURE Q1

3 SK 3243 / S Q2. igure Q2 shows a statically indeterminate beam which is fixed at and has roller support. (i) (ii) lassify whether the beam is statically determinate or indeterminate. If it is statically indeterminate, indicate the degree of indeterminacy. y the force method, draw the shear force and the bending moment diagrams for the beam shown in igure Q2 and show all important values. Take the vertical reaction force at as the redundant reaction. The flexural rigidity of all members are shown in the figure. (18 marks) 30 kn 5m 10m EI 3m 10kN IGURE Q2

4 SK 3243 / S Q3. igure Q3 shows a plane truss supported by a roller support at and a pin support. The truss is loaded with point loads as shown. Show that the truss is a statically indeterminate internally and indicate its degree of indeterminacy. (3 marks) y using member as the redundant member, determine the axial forces in all member of the truss. The cross sectional areas,, and the modulus Young, E, of all members are constant. (19 marks) (2arks) 4 m 4 m E 50 kn m 3 m 3 m 50 kn IGURE Q3

5 SK 3243 / S Q4. igure Q4 shows a beam with a pin support at and roller supports at and E. The beam has a pin jointed at. raw influence line diagrams for the following functions (i) Vertical reaction at. (ii) Vertical reaction at. (iii) Shear force just to the left of. (iv) Moment reaction at. The important values of the influence line have to be stated on the diagrams. If the beam is subjected to the self weight of 2 kn/m and a series of point loads which is moving from right to left as shown in igure Q4, determine the maximum support reaction at and. If the beam is subjected only to uniformly distributed loads which is moving from right to left to right as shown in igure Q4, determine maximum moment at. (6 marks) (2arks) E 30 kn 20 kn 5 kn/m IGURE/RJH Q1 irection of live loads/rah pergerakan beban hidup

6 SK 3243 / S Q5. igure Q5 shows a plane frame with a fixed support at and a pin support at. The frame carries external point loads as illustrated. The plastic moments of resistance M p for members, and are 2Mp, 3Mp and Mp respectively respectively. determine the numbers of collapse mechanisms for the frame. determine the value of the collapse load W draw the plastic bending moment diagram of the frame. 2W (4 marks) (10 marks) (2arks) W 2 2 m IGURE Q5

7 SK 3243 / S ORMUE M M 3 2 M 2 3 M The modulus of elasticity and moment of inertia of beam are E dan I K=4EI/ K=4EI/ K=3EI/ K=0 w 2 /12 w 2 /12 w Pab 2 / 2 Pa 2 b/ 2 P a b u E uu E