Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Advanced Structural Engineering Exam Questions from Cork Institute of Technology, Exams of Data Structures and Algorithms

Punjab Engineering CollegeData Structures and Algorithms

Five structural engineering questions from an exam held at cork institute of technology in summer 2005. The questions involve determining joint displacements, bending moments, deflections, and reactions for various frames and plates using the stiffness matrix method and other structural analysis techniques. The document also includes stability coefficients for use in determining critical loads for frames.

Typology: Exams

2012/2013

Uploaded on 04/01/2013

asin
asin 🇮🇳

4.5

(4)

44 documents

1 / 8

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Cork Institute of Technology
Bachelor of Engineering (Honours) in Structural Engineering – Award
(Bachelor of Engineering in Structural Engineering – Award)
(NFQ – Level 8)
Summer 2005
Advanced Theory of Structures
(Time: 3 Hours)
Instructions
Answer any FIVE questions.
All questions carry equal marks.
Examiners: Mr. J. J. Murphy
Mr. T. Corcoran
Prof. P. O’Donoghue
Q1. The uniform frame shown in Fig Q1 has rigid joints at D and E and fixed foundation
connections at A and B. It is pinned to the support at C.
(a) Use the stiffness matrix method to determine the joint displacements at C, D and E.
(b) Determine the bending moments at A, B, D and E and hence draw the bending moment
diagram for the frame, noting all significant values.
Axial and shear deformations may be neglected.
E= 205 kN/mm2 I = 107 mm4
Q2. The symmetrical pin-jointed steel framework shown in Fig. Q2 is pinned to supports at A
and B. The cross-sectional area of each member is 800 mm2. Member DE is subjected to
an increase of temperature of 40 K and a vertical force of 40 kN is applied at D
(a) Use the stiffness matrix method to determine the vertical deflections at C, D and E.
(b) Determine the resulting forces in each of the members.
(c) Determine the horizontal and vertical reactions at A and B.
E = 205 kN/mm2 α = 12 x 10-6 K-1
pf3
pf4
pf5
pf8

Partial preview of the text

Download Advanced Structural Engineering Exam Questions from Cork Institute of Technology and more Exams Data Structures and Algorithms in PDF only on Docsity!

Cork Institute of Technology

Bachelor of Engineering (Honours) in Structural Engineering – Award

(Bachelor of Engineering in Structural Engineering – Award)

(NFQ – Level 8)

Summer 2005

Advanced Theory of Structures

(Time: 3 Hours)

Instructions Answer any FIVE questions. All questions carry equal marks.

Examiners: Mr. J. J. Murphy Mr. T. Corcoran Prof. P. O’Donoghue

Q1. The uniform frame shown in Fig Q1 has rigid joints at D and E and fixed foundation connections at A and B. It is pinned to the support at C. (a) Use the stiffness matrix method to determine the joint displacements at C, D and E. (b) Determine the bending moments at A, B, D and E and hence draw the bending moment diagram for the frame, noting all significant values. Axial and shear deformations may be neglected. E= 205 kN/mm^2 I = 10^7 mm^4

Q2. The symmetrical pin-jointed steel framework shown in Fig. Q2 is pinned to supports at A and B. The cross-sectional area of each member is 800 mm^2. Member DE is subjected to an increase of temperature of 40 K and a vertical force of 40 kN is applied at D (a) Use the stiffness matrix method to determine the vertical deflections at C, D and E. (b) Determine the resulting forces in each of the members. (c) Determine the horizontal and vertical reactions at A and B. E = 205 kN/mm^2 α = 12 x 10-6^ K -

Q3. A thin elastic rectangular plate of length 2 l and width l and uniform flexural rigidity D is simply supported along its edges. It is subjected to a load p = - p o Cos(πx/2 l ) Cos(πy/ l ), where x and y are rectangular coordinates measured from the origin at the centre of the plate as shown in Fig. Q3. Derive an expression for the deflection of the plate and hence determine: (i) the maximum value of M (^) x in the plate, (ii) the maximum value of M (^) y in the plate, (iii) the maximum value of the twisting moment Mxy in the plate, (iv) the vertical reactions at the corner of the plate, (v) the maximum value of Qy along the edge y = l /2. ν = 0.

Q4. (a) A steel rail section for which E = 205 kN/mm^2 and I = 12000 cm^4 is supported on sleepers, ballast and road bed, which together behave approximately as a beam on an elastic foundation for which k = 5 MN/m^2. If the rail is subjected to two wheel loads of 150 kN spaced 1.2 m apart along the rail (see Fig. Q4(a)), determine the maximum deflection of the rail and the maximum bending moment in the rail. (12 marks) (b) Use qualitative analysis to sketch the bending moment diagrams and the deflected shapes for the frames shown in Fig. Q4(b). Indicate also the direction in which the reactions act. (8 marks) Use Answer sheet provided

Q5. (a) Fig. Q5(a) shows a frame, which is fixed to a support at A and pinned to a support at B. The beam CD has a mass of 12000 kg and may be assumed to be infinitely stiff. The flexural rigidity of each column is the same at 8 MNm^2 and the mass of the columns may be neglected. Calculate the fundamental natural mode frequency of the frame and hence determine the maximum horizontal deflection of point C when the beam CD is subjected to a sinusoidally varying horizontal load of frequency 2 hz and amplitude 12 kN, if the damping coefficient ξ = 0.06. (10 marks) (b) Fig Q5(b) shows a two-storey portal frame fixed to a support at A and pinned to a support at F. The beams may be assumed to be infinitely stiff and to have masses 15000 kg and 5000 kg as shown. The columns are of uniform stiffness with EI = 12 MNm^2. The mass of the columns may be neglected. Calculate the natural mode frequencies of the frame. (10 marks)