CIV ENG 4Y04 BRIDGES AND OTHER STRUCTURAL SYSTEMS Term Test - 2010

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DEPARTMENT OF CIVIL ENGINEERING McMaster University

Hamilton, Ontario, Canada

CIV ENG 4Y04 BRIDGES AND OTHER STRUCTURAL SYSTEMS TERM TEST (Day Class) Instructor: Dr.K.S.Sivakumaran Duration of Examination: 2 Hours 24 February 2010

This examination paper includes 2 pages and 3 questions. You are responsible for ensuring that your copy of the paper is complete. Bring any discrepancy to the attention of your invigilator.

SPECIAL INSTRUCTIONS: ONLY McMaster Standard Calculator (Casio fx-991) will be permitted. Answer all THREE questions. All answers should be in a logical sequence with clear explanations, equations, and sketches where appropriate. [Marks will be deducted for illogical sequence, and or lack of explanations] References and Clause numbers should be clearly indicated, if used. Assume reasonable value for any parameter, if you consider that the corresponding value is not given herein.

THE FOLLOWING DOCUMENTS ARE PERMITTED DURING THIS EXAM:

UNMARKED copy of 9th Edition, Handbook of Steel Construction, CISC-2006.

UNMARKED copy of the Code Section (brown pages) of the Concrete Design Handbook, 3rd edition, CPCA-2006.

It is the student’s responsibility to ensure that nothing is written in the above two documents. The documents found to have written/typed material, other than the original printing, will be confiscated and will not be allowed in the exam.

Part II of the Concrete Design Handbook (white pages) must be bound securely and must be made impossible to access during this exam. See the photographs below.

It is the student’s responsibility to guarantee that the Part II (white pages) is securely bound and is inaccessible. Otherwise, the concrete design handbook will be confiscated and will not be allowed in the exam.

No other books, notes, and loose sheets are permitted.

CIV ENG 4Y04 BRIDGES AND OTHER STRUCTURAL SYSTEMS Term Test - 2010

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s 220 mm

1000 mm

Slab at mid-span between girders

Problem No: 1 (15 Marks) [a] (3 marks) The unbraced length of a steel flexural member is determined by various factors.

Giving examples provide a discussion on the determination of unbraced length of beams. [b] (12 marks) Turn to Page 5-96 of Handbook of Steel Construction. Note the steel section

W410x54 listed in the table. Note the fifth column of this table which shows the corresponding Lu – maximum unsupported length for which no reduction in factored moment resistance Mr is required. Through detailed calculations (tables may be used for steel section properties only), show that the Lu value for W410x54 is in fact 2310 mm.

Problem No: 2 (15 Marks) [a] (5 marks) The transverse moment in a bridge deck at a specific location in a bridge is

influenced by various factors. Provide a discussion on the transverse moments in the bridge deck of a slab-on-girder type bridge.

[b] (10 marks) The slab-on-girder type bridge transverse bridge deck associated with an

interior panel experiences a factored moment of 120 kN.m / m.width (see the figure). Using f’c = 35 MPa and #15M reinforcing bars fy = 400 MPa, and considering the A23.3 – Clause: 10.1 – General principles, determine the necessary spacing ‘s’ for these reinforcements. [Do not use memorized equations]

Problem No: 3 (30 Marks) [Detailed Calculations Needed] The figure shows the repetitive pattern of a simply-supported concrete slab-on-steel girder 100% Fully Shear connected composite bridge of span 25m located in Hamilton, Ontario. The steel section (Fy=350MPa) is made by welding together three plates whose dimensions are given. The reinforced concrete slab of thickness 250mm, concrete strength f’c=35MPa, contains two layers of primary reinforcements, which can be used for moment resistance. Each layer consists of 15M bars @ 300mm. [a] Determine the flexural

resistance of the composite girder?

(Consider only the ultimate limit state associated with the moment resistance only)

[b] How many 15.9mm diameter

and 75mm height shear studs may be needed for the whole 25m beam in order to provide the 100% shear connection?

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