CE2164 Quiz Dated 06 Mar 07-Solutions for Marking

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    CE 2164 - STRUCTURAL DESIGN AND MATERIALS

    Open-Note Quiz (6 Mar 2007) Time allowed: 60 minutes

    Answer ALL questions in Parts 1 & 2 Max. 20 marks

    Matriculation No: _________________________ Group:______________

    Part 1 [10 Marks]

    From questions 1.1 to 1.6, select ONE or MORE correct statement(s) by writing on tothe space provided below each question the appropriate number(s) as illustrated in the

    following example 1.0.

    Please note that each correct answer or statement will be given 1 mark and half amark will be deducted for the selection of each incorrect answer (or statement).

    1.0 Steel is an alloy of iron with the following material:

    (1)water(2)cement(3)carbon(4)zinc

    Answer(s): ____________ (if (3) is selected as the correct answer to 1.0)

    1.1 In concrete, hydration reaction takes place between

    (1)Water, cement and sand(2)Cement, water and granite(3)Water and cement(4)Water and aggregate

    Answer(s): _____(3)______

    1.2 Chemical compositions of Portland cement causing Alkali-aggregate reaction are:

    (1)Sodium Oxide(2)Magnesium Oxide(3)Titanium Oxide(4)Potassium Oxide

    Answer(s): _____(1) & (4)___

    1.3 In the design calculations of reinforced concrete structures, concrete strength is taken

    as its

    (1)Actual tested strength(2)Specific Mean strength(3)Characteristic strength(4)The value of concrete strength, which is exceeded by 95% of the standard cube test

    results.

    Answer(s): __(3) & (4)_______

    (3)

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    1.4 To achieve the objectives of structural design, various design methods may be

    considered. The statement(s), which is/are NOT TRUE about various, design methods:

    (1)In ultimate strength design method, the ultimate loads are enhanced by anappropriate load factor

    (2)In working stress design method, allowable material stresses are their ultimatestrengths divided by a safety factor.

    (3)Limit state design in effect compasses both working stress and ultimate strengthdesign methods.

    (4)BS 8110 is based on ultimate strength design methodAnswer(s): ____(4)______

    1.5 Serviceability limit state concerns the behaviour of structures under service loads. In a

    common building structure, this is associated with

    (1)Strength of the structure(2)Durability of the structure

    (3)Water tightness , fire resistance etc(4)Deflection, crack width etc

    Answer(s): ____(2) , (3) & (4)___

    1.6 Which of the following will NOT be the consequence of allowing redistribution of

    moment in the design of a structural element?

    (1)Tension steel can be reduced(2)Ductility can be improved(3)Additional moment will get redistributed to other parts of the beam(4)Load capacity of the structural element will be reduced

    Answer(s): ____(4) __________

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    Matriculation No: _________________________ Group:______________

    Part 2 [10 Marks]

    2. Being a structural engineer in an engineering design office, you are asked to design a

    typical internal rectangular beam for a parking lot construction project in Sentosa. The

    beams are expected to carry, a service load of 22.5 kN/m and a dead load of 10 kN/m,including its self-weight and the bituminous materials on the slabs. The typical span length

    is 8 m and it is simply supported. Material properties are specified below:

    Steel : 460=yf MPa,

    and

    Concrete : 35=cuf MPa

    The difference between effective depth and overall depth of the beam can be taken as 50

    mm. Take any beam dimensions in nearest 25 mm.

    (Design load, W= 1.4 Gk+ 1.6 Qk,)

    Due to the headroom constraints, the beam depth shall be limited to 650 mm. Ductile

    behavior is required. Perform the beam design and sketch your design with proper rebar

    arrangements. The design shall conform to BS 8110.

    Solution:(a)

    Design load, W= 1.4 Gk+ 1.6 Qk) = 1.4 10 + 1.6 22.5 = 50 kN/m

    Design ultimate moment of the beam =2

    8

    wl=

    250 8

    8

    = 400kNm [1]

    Try as asingly reinforced beam

    According to BS 8110, to ensure adequate ductility applies when redistribution does not

    exceed 10 % 0.775d z 0.95d

    In order to find the minimum depth for a singly reinforced sectionz = 0.775dwhich

    corresponds tox/d= 0.5 and then

    .0 156K K= =

    Then 2cu

    MK bd f=

    { }.

    =

    6

    2

    400 100 156 600 35b [1]

    .

    =

    6

    2

    400 10

    0 156 35 600b .= 203 5 b mm

    In nearest 25 mm

    = 225 b mm [1]

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    Now2

    cu

    MK

    bd f=

    { }. .

    = =