Structural Analysis III Revised Semester 2 Exam Information. Semester /9

Size: px

Start display at page:

Download "Structural Analysis III Revised Semester 2 Exam Information. Semester /9"

Winifred Stevens
5 years ago
Views:

1 Structura naysis III Structura naysis III Revised Semester Exam Information Semester 008/9 Dr. oin aprani Dr.. aprani

2 Structura naysis III. Exam Format Introduction The exam format is being atered this year from previous Semester exam formats. However, the change is superficia: the questions asked wi be of the same standard, and no new or extra knowedge is required. This change is being impemented to better refect the content of the Semester course, and the time put into each topic. In addition, it is hoped that the paper wi be easy to sit and pan time for, given that a questions wi now have equa marking. ayout There wi be 4 questions and you are to answer a 4. Marking Each question has equa weighting: Questions to 4 are worth 5 marks each. Timing The exam is hours in duration which converts to 0 minutes per question. Format The format is: Question wi examine Macauay s Method; Question wi examine Virtua Work; Question wi examine Virtua Work; Question 4 wi examine astic naysis. Dr.. aprani

3 Structura naysis III In addition, questions may incude aspects of quaitative anaysis, corresponding to Question (c) of pre-semesterized exams. The standard and stye of questions wi be as for previous semesterized and presemesterized exams. Exam Handout The handout is as attached to the sampe exam paper. Dr.. aprani

4 Structura naysis III. Reevant ast Exam Questions The foowing tabe indicates questions (or parts thereof) from previous years exam papers as they correspond to the revised Semester exam. ast Summer Exam by Year* Question * Macauay s Method Semester Exam Questions Question * Virtua Work Question * Virtua Work Question * astic naysis 008 Q(b) Q(a) Q(b) Q(a) 007 Q4(b) Q Q Q4 Q Q4 004 Q4(b) Q Q5 00** Q(b)** Q & Q4-00** Q4(c) Q Q Q Q Q Q Q Q Q Q Q Q5 * robems simiar to Q of 008 and Q (c) of 007 may be incuded as part of Questions to 4. ** In these years the exam format and stye of question was atered consideraby. 4 Dr.. aprani

5 DT04/ 07 EH DUIN INSTITUTE OF TEHNOOGY OTON STREET, DUIN - acheor of Engineering (Honours) in Structura Engineering THIRD YER: MY 009 SEMESTER STRUTUR NYSIS III John Turner,.E., M.Eng.Sc., M.I.E.I. Joseph Kindregan, E oin aprani, h.d.,.sc.(eng.), Dip.Eng.,.Eng., M.I.E.I., M.I...S.E., M.I.Struct.E. Someday, XXth May, 09.0 a.m. to.0 p.m. nswer a of the foowing four questions. question carry equa marks. Time owed : Hours Given: 008 DIT

6 DT04/ 07 EH QUESTION Using Macauay s Method, determine the defection at for the frame shown in Fig. Q. (5 marks) Note: 7 4 Take E 00 kn/mm and I 5 0 mm for a members. FIG. Q 008 DIT

7 DT04/ 07 EH QUESTION (a) Using Virtua Work, for the truss shown in Fig. Q(a), determine the horizonta defection of joint. Note: Take E 00 kn/mm for a members. Take the areas as 00 mm for a members except and D where the area is 00 mm (5 marks) (b) For the structure shown in Fig. Q(b), provide the foowing: (i) (ii) (iii) (iv) (v) show the direction of the reactions; bending moment diagram; shear force diagram; axia force diagram; defected shape. (0 marks) FIG. Q(a) FIG.Q(b) 008 DIT

8 DT04/ 07 EH QUESTION n additiona member DF is introduced to the truss of Fig. Q(a), as shown in Fig. Q; cacuate the new horizonta defection of joint. Note: Take E 00 kn/mm for a members. Take the areas as 00 mm for a members except, D and DF where the area is 00 mm You may use any reevant resuts from your workings for Q, but in doing so acknowedging their source. (5 marks) FIG. Q 008 DIT

9 DT04/ 07 EH QUESTION 4 For the rigid-jointed frame of Fig. Q4, oaded with the working oads shown, do the foowing: (a) Find the oad factor which causes coapse of the frame, given that M 0 knm ; (b) Show that your soution is the unique soution; (c) Sketch the bending moment diagram at coapse, showing a important vaues. (5 marks) FIG. Q4 008 DIT

10 DT04/ 07 EH oading Fixed-End Moments M onfiguration M 8 M / / M 8 w M w M w ab M a b M a b 6 M / / - w 8 w M - ( ) ab a M a b - Dispacements M onfiguration M 6EI M M 6EI EI M DIT

11 DT04/ 07 EH Dispacements onfiguration Transations Rotations w 4 5w δ 84EI w θ θ 4EI / / δ 48EI θ θ 6EI a b δ a a 4 48EI ( a) ( a ) a θ 6EI a θ 6EI ( a ) a M a a a δ ( )( ) EI M θ 6EI M θ 6EI ( a 6a ) ( a ) w 4 w δ 8EI w θ 6EI δ EI θ EI M M M δ θ EI EI 008 DIT

12 DT04/ 07 EH Voume Integras Virtua Work j j j j j k jk 6 jk ( ) 6 j j k jk k k k ( ) 6 jk 6 j k k j j k jk ( ) 6 jk ( ) ( ) 6 j k k 6 j k k ( ) j ( k k ) j k k a b k k jk jk ( ) ( ) ( ) ( ) 6 jk b 6 j b ( ) 6 jk a j j k jk jk j a k k 5 jk 5 k 4 jk ( j ) j jk k 4 jk 5 5 k jk ( j ) j jk k 4 jk jk ( ) j j k jk k jk j j k 4 jk ( ) jk k jk jk ( ) j j k jk 008 DIT

Work and energy method. Exercise 1 : Beam with a couple. Exercise 1 : Non-linear loaddisplacement. Exercise 2 : Horizontally loaded frame

Work and energy method. Exercise 1 : Beam with a couple. Exercise 1 : Non-linear loaddisplacement. Exercise 2 : Horizontally loaded frame Work and energy method EI EI T x-axis Exercise 1 : Beam with a coupe Determine the rotation at the right support of the construction dispayed on the right, caused by the coupe T using Castigiano s nd theorem.