Pin-Jointed Framework - Structural Engineering - Old Exam Paper, Exams of Structural Analysis

Main points of this past exam are: Pin-Jointed Framework, Horizontal Deflection, Equation for Bending Moment, Shear Force, Maximum and Minimum Values, Macaulay’s Notation, Significant Values, Uniform Temperature Change

Typology: Exams

2012/2013

Uploaded on 04/02/2013

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Cork Institute of Technology
Bachelor of Engineering in Civil Engineering – Stage 2
(CCIVL_7_Y2)
Summer 2009
Structural Engineering - Old Syllabus
(Time: 3 Hours)
Instructions:
Five questions to be answered.
Answer two (i.e. both) questions from Section A.
Answer one question from Section B.
Answer two questions from Section C.
Examiners: Mr. A. M. Conway
Mr. J. Lapthorne
Mr. J. Kindregan
Section A
1. Determine the forces in each of the members of the pin-jointed framework shown
in Figure Q1. Indicate whether the forces are tensile or compressive.
(20 marks)
2. (a) Draw the shear force and bending moment diagrams for the beam as
shown in Figure Q2 (a) noting all significant values. (10 marks)
(b) If the cross-section of the beam is as shown in Figure Q2 (b), determine
the locations and values of the maximum tensile and compressive stresses in the
beam. (10 marks)
Section B
3. (a) Determine the load capacity of the connection shown in Fig. Q3 (a).
Assume that the shear planes pass through the threaded area of the bolts.
p
y = 275 N/mm2 ps = 160 N/mm2 p
b = 435 N/mm2
(10 marks)
(b) Determine the plastic section modulus, Sx of the steel beam
section shown in Fig. Q3 (b). If py = 325 N/mm2, calculate the moment capacity,
Mc of the section. (10 marks)
pf3
pf4
pf5

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Cork Institute of Technology

Bachelor of Engineering in Civil Engineering – Stage 2

(CCIVL_7_Y2)

Summer 2009

Structural Engineering - Old Syllabus

(Time: 3 Hours)

Instructions: Five questions to be answered. Answer two (i.e. both) questions from Section A. Answer (^) one question from Section B. Answer two questions from Section C.

Examiners: Mr. A. M. Conway Mr. J. Lapthorne Mr. J. Kindregan

Section A

1. Determine the forces in each of the members of the pin-jointed framework shown

in Figure Q1. Indicate whether the forces are tensile or compressive.

(20 marks)

2. (a) Draw the shear force and bending moment diagrams for the beam as

shown in Figure Q2 (a) noting all significant values. (10 marks)

(b) If the cross-section of the beam is as shown in Figure Q2 (b), determine

the locations and values of the maximum tensile and compressive stresses in the

beam. (10 marks)

Section B

3. (a) Determine the load capacity of the connection shown in Fig. Q3 (a).

Assume that the shear planes pass through the threaded area of the bolts.

py = 275 N/mm^2 ps = 160 N/mm^2 pb = 435 N/mm^2

(10 marks)

(b) Determine the plastic section modulus, Sx of the steel beam

section shown in Fig. Q3 (b). If py = 325 N/mm^2 , calculate the moment capacity,

Mc of the section. (10 marks)

4. (a) A straight cooper rod of uniform section is held in clamps, which are

400 mm apart and exert a pull on the rod giving rise to a tensile stress of 35

N/mm^2. If the temperature is raised by 50o^ C and the distance between the

supports remains unchanged, calculate the stress in the rod.

Coefficient of linear expansion of copper = 17.0 x 10-6^ per o^ C

Young’s modulus for copper = 110 kN/mm^2 (10 marks)

(b) Determine the reactions and hence draw the bending moment

diagram for the rigid jointed framework shown in Fig Q4 (b). (10 marks)

Section C

5. Figure Q. 5 shows the plan of a proposed first floor viewing gallery over a ground

floor gymnasium. The viewing gallery consists of a reinforced concrete floor slab

spanning from each of the sidewalls to the steel beam B2. Beam B2 is supported

by beam B1 and the end wall as shown in the plan. A steel safety railing is to be

provided along the full length of beam B1but its load may be neglected in the

design. The loading details are as follows:

Dead load on floor = 2.5 kN/m^2
Imposed load on floor = 5.0 kN/m^2
Self-weight of beam B2 = 0.4 kN/m
Self-weight of beam B1 = 0.4 kN/m (254x146x37 UB)
Note: All loads quoted are unfactored.

You may assume that beams B1 and B2 are fully laterally restrained. Using limit

state design principles:

(a) Calculate the maximum design shear force and bending moment applied to the

steel beam B1. (5 marks)

(b) Check the suitability of a 254 x 146 x 37 UB for the steel beam B1. (10 marks)

(c) Check the deflection of the beam B1. (5 marks)

p y = 275 N/mm^2 E steel = 205 kN/mm^2

Information and Tables

Unit Loads

Concrete 24 kN/m^3

Blockwork (unplastered) 20 kN/m^3

C0o0n0.crete Screed 24 kN/m^3

Plaster board 0.15 kN/m^2

Plaster (per face) 0.1 kN/m^2

Vinyl tiles 0.05 kN/m^2

( ) (^ )

yv

c SV V

yv

c SV V

y

s

cu

f
v v A bv vcS
f
v v A bS
fZ
A M
Z d k d
bd f
k M
0. 5 0. 4 0.^4
Shear :
Flexure :
Design formula for reinforced concrete

2

+ ≤ ⇒ ≥^ −
Values of concrete shear strength, v c (N/mm^2 ) for f cu = 40 N/mm^2
(100 As)/bd d = 200mm d > 400mm
Deflection modification factors for tension reinforcement
fy Mult /bd^2
N/mm 2 0.5 1.0 2.0 4.0 6.
Areas of reinforcement
Bar
diameter
(mm) 8 10 12 16 20 25 32
Area
(mm^2 ) 50 79 113 201 314 491 804
Reinforcement areas per metre width
for various bar spacings (mm 2 )
Bar spacing
(mm)
Bar
size
(mm) 75 100 125 150 175 200 225 250 300