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EXAMINATION AND EVALUATION DIVISIONDEPARTMENT OF POLYTECHNIC EDUCATION

(MrNrsTRY OF HTGHER EDUCATTOj{)

CIVI ENGINEERING DEPARTMENT

FINAL EXAMINATIONDECEMBER 2O1O SESSION

C5303: THECRY OF STRUCTURES 2

DATE : 18 ApRrL 2011 (MONDAY)DURATION : 2 HOURS (2.30pm _ 4.30pm)

This paper consists of SIX (6) pages including the front page.Structure / Essay (6 questions _ answer 4 questionsj

.,

CONF'IDENTIAL UNTIL 18 APRIL 2OTIDO NOT OPEN THIS QUESTION PAPER UNTIL INSTRUCTED BY THECHIEF' INVIGILATOR

CONFIDENTIAL

OUESTION 1

C5303: Theory ofStructures 2

With reference to Figure I, answer the following questions:

(a) prove the stabirity of truss structure by using the equation m > 2j - 3(Note: nt : Total of member and j : Total ofjoint) (2 marlcs)

(b) find the reaction at support A and c (5 marks)(c) calculate the magnitude and types of intemal forces for all members using the

method of.ioints. prove ail the answers by checking force at the end point.

(18 marks)

100 kN

Fisure I

Page 2 of 6

CONFIDENTIALC5303: Theory ofStructures 2

With reference to Figure 2, determine the:

(a) reaction at support A and B (3 marks)(b) vertical dispracement of point D, if fhe varues of internar force are given in

Table l. The cross sectionar area ro, t"nJilff"mbers is gcm2 and comprerriyfu"_dmembers is l0 cm2 and the varue of lbung,s Modurus (E) is 200 kN/mm2.

" \ (22 marks)

t

st5

25 kN

Fisure 2

An-$"l. L ofQ ?"P,!2,

5r ?"4' L-"-'^'--F*

&€

F_-6m--*]-om-J50

-fI

I

I

8mI

iIj.L

40

?,

"Jt

Page 3 of6

CONFIDENTIALC5303: Theory ofStructures 2

Note"'

F : intental force of members cause by external load,

L : length of members,

A - Area of cro.ss section members.

J : internal.force of ntembers caused by I ttnit load at point D.

QUESTION 3

Determine the internal forces in the members of the truss in Figure 3. Assume thatmember AC is redundant and AE is the same for ail of the members.

F-4rn 4 m *-----------]

(25 marks)

Page 4 of6

Tlm.L

tlmI

$qv1

'$KN

\).

,,N/\-/\'\t I\/

IYAv ]\i,/

,.\ u*

B-C i -s!.2s

Table I

Fisure 3

CONFIDENTIALC5303: Theory ofstructures 2

OUESTION 4

A series of moving load is subjected onto beam ABCD as shown in Figure 4. Thedirection of the moving system is from left to right. Using the influence line method,delermine the:-

a) maximum Positi'e and Negative reaction at support A and c, (10 rnarlcs)

b) maximum Positive and Negative shear force at poirrt B, and (g rnarlcs)

c) maxinium Positive and Negative bending moment at point B. (7 rnarks)

20kN 50 kN 30kN

r*+--a - Moving direction

l*BI 4m o-

ffi6 D-t 9rn -1, 4m ,

Fisure 4

Page 5 of6

CONFIDENTIAL

OUESTION 5

Determine the absolute maximum

shown in Figure 5 below.

C5303: Theory of Structures 2

moment in the beam due to a series of load as

100 kN ll0kN

Fisure 5

(25 marks)

OUESTIOI{ 6

According to Diagram 6 below, draw the influence line for the force in member BCand BF' Determine the maximum force in member BC and BF due to a series of loadmoving in one direction from left to right as shown in Figure 6.

(25 marks)

Page 6 of6

90 kN 80 kN

20 kN 30 kN 20 kN 30 kN

Fisure 6