structural review

7/26/2019 Structural Review

1/57

A reinforced concrete beam has a width of 300mm and an effective depth of

450mm. The beam is reinforced with 6-32mm bars at the bottom and 2-28mm

bars at the top located 65mm from the maim!m compression fiber. fc" # 34.5

$%a& '( # 345$%a.Ass!me that the contrib!tion of the compression steel ma(

not be ne)lected and that compression steel (ields.

*+ ,hich of the followin) )ives the balanced steel ratio.

2+ ,hich of the followin) )ives the depth of the compression bloc.

3+ ,hich of the followin) )ives the nominal moment capacit( of the beam.

ol!tion/
http://ce-review.com/2010/04/12/design-and-construction-ce-board-exam-nov-2001-9/structural-ce-board-exam-nov-2001-reinforced-concrete-beam-figure-8-2/http://ce-review.com/2010/04/12/design-and-construction-ce-board-exam-nov-2001-9/structural-ce-board-exam-nov-2001-reinforced-concrete-beam-figure-8-1/


2/57
http://ce-review.com/2010/04/12/design-and-construction-ce-board-exam-nov-2001-9/structural-ce-board-exam-nov-2001-solution-8/


3/57

A composite beam is made !p of a wide flan)e with two cover plates of 320mm

*2mm placed at the top and at the bottom. The beam has a simple span of 6m.

and carries a total load of 360 1m.

Allowable bendin) stress'b # *50 $%a

Allowable shear stress 'v # *00 $%a

Allowable deflection # 1360

%rop. of the wide flan)e section.

A # 0.02 m2tw# 0.0*8 m.

d # 0.56 m. #0.00*568 m4.

# 200&000 $%a.

*+ ,hich of the followin) )ives the section mod!l!s of the section.

2+ ,hich of the followin) )ives the deflection of the beam.

3+ s the beam

a. Ade!ate

b. n ade!ate for fle!re and shear

c. n ade!ate for fle!re and deflection

d. n ade!ate for fle!re& shear and deflection.

ol!tion/
http://ce-review.com/2010/04/12/design-and-construction-ce-board-exam-may-2001-8/structural-ce-board-exam-may-2001-composite-beam-figure-9/


4/57
http://ce-review.com/2010/04/12/design-and-construction-ce-board-exam-may-2001-8/structural-ce-board-exam-may-2001-solution-9-1/


5/57


6/57

A 570mm 570mm reinforced concrete col!mn with section shown is s!bected

to a service aial dead load of 450. ive load of 500& dead load moment of

*35 1m and live load moment of *50 1m. fc" # 2*$pa and f( # 4*5$pa

*+ ,hich of the followin) )ives the e!ivalent eccentricit( of the load on the

col!mn.

2+ ,hich of the followin) )ives the minim!m area of steel reinforcement.

3+ ,hich of the followin) )ives the minim!m si9e of steel bars.

ol!tion/
http://ce-review.com/2010/04/13/design-and-construction-ce-board-exam-nov-2002-8/structural-ce-board-exam-nov-2002-reinforced-concrete-column-figure-8/


7/57


8/57

A rectan)!lar reinforce concrete beam has a width of 250mm& a total depth of

600mm& and an effective depth of 500mm. t is reinforced with 3-25mm. 'c" #

28$%a and f( # 4*5$%a. The beam is carr(in) a slab *50mm thic& 5m. wide. The

beam has a span of 6m. f the !nit wei)ht of concrete is 241m3.

*+ ,hich of the followin) )ives the !nfactored dead load actin) on the beam:

2+ ,hich of the followin) )ives the !ltimate moment capacit( of the beam:

3+ ,hich of the followin) )ives the !nfactored live load that the beam co!ld

s!pport:

ol!tion/
http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-nov-2003-4/structural-ce-board-exam-nov-2003-solution-4-1/http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-nov-2003-4/structural-ce-board-exam-nov-2003-rectangular-concrete-beam-figure-4-1/


9/57
http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-nov-2003-4/structural-ce-board-exam-nov-2003-solution-4-2/http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-nov-2003-4/structural-ce-board-exam-nov-2003-rectangular-concrete-beam-figure-4-2/


10/57
http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-nov-2003-4/structural-ce-board-exam-nov-2003-rectangular-concrete-beam-figure-4-3/


11/57
http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-nov-2003-4/structural-ce-board-exam-nov-2003-solution-4-3/


12/57

The base of the footin) is *.8m. below the )ro!nd s!rface. t has a s!rchar)e of

4.8%a on the )ro!nd s!rface. The thicness of the footin) is *.2m. Allowable

bearin) press!re of the soil is 280%a. ,ei)ht of concrete is 241m3and soil is

*81m3.

*+ ,hich of the followin) )ives the effective bearin) press!re of soil.

2+ ,hich of the followin) )ives the distance of the res!ltant force from the

etreme face of the col!mn in order to have a !niform distrib!tion of press!re.

3+ ,hich of the followin) )ives the dimension of the footin).

ol!tion/
http://ce-review.com/2010/04/13/design-and-construction-ce-board-exam-may-2003-5/structural-ce-board-exam-may-2003-footing-figure-6/


13/57
http://ce-review.com/2010/04/13/design-and-construction-ce-board-exam-may-2003-5/structural-ce-board-exam-may-2003-solution-6/


14/57

A simpl( s!pported steel beam carries a !niform concrete slab 200mm thic. t

carries a ceilin) load of 500 %a and live load press!re e!al to 2000%a. The

len)th of the beam is 6meters and is spaced at 2m. on centers. ;nit wei)ht of

concrete is 241m2. Allowable bendin) stress for steel beam is 0.66'(.$od!l!s

of elasticit( is 200


15/57


16/57


17/57

Problem

A strip of 640 m2is sold from a triangular field whose sides are 96 m, 72 m, and 80 m. The

strip is of uniform width h and has one of its sides parallel to the longest side of the field. Find

the width of the strip.

A. 7.1 m

. 8.1 m

!. 8.7 m

". 7.7 m

Solution

From #A! $% &osine law'(

802=722+9622(72)(96)cos

=54 64

722=802+9622(80)(96)cos

=47 22

tan =ch

c=htan54 64

c=0 7096h

tan =ch

c=htan47 22

c=0 9254h

a=bcd

a=960 7096

h0 9254

h

a=961 635h

AABED=21(a+b)h

640=21[(961 635h)+96]h

1280=192h1 635h2

1 635h2192h+1280=0

h=110 34 and 7 09


18/57

A closed traverse A>?= has the followin) data/

ine en)th >earin)

A> *22.00 30@

>? *47.00 60@

?= 24*.00 *0@

=A *57.00 0@ ,

*. =etermine the corrected bearin) of side >? !sin) compass r!le.

A. 57@ **"

>. 57@ **"

?. 60@ *2"

=. 60@ 47"

2. =etermine the corrected bearin) of side ?= !sin) the compass r!le.

A. *47.632 m

>. *48.368 m

?. *47.54 m

=. *48.453 m

3. =etermine the corrected len)th of side >? !sin) the compass r!le.

A. 242.06 m

>. 24*.852 m

?. 240.*48 m=. 237.733 m

ol!tion/

ine en)th >earin) at =ep

A> *22.00 30@ *05.655 6*.000

>? *47.00 60@ 4.500 *27.038

?= 24*.00 *0@ -23.337 -4*.847

=A *57.00 0@ , 54.38* -*47.4**

%erimeter 6* rror -2.802 -*.223

?ompass r!le/


19/57

The correction to be applied to the latit!de Bor depart!re+ of an( co!rse is to the

total absol!te correction in latit!de Bor depart!re+ as the len)th of the co!rse is

to the perimeter of the traverse.


20/57

ide ? ?orrected ?= ?orrected ?orrected ?orrected >earin)
http://ce-review.com/2010/06/02/design-and-construction-ce-board-exam-nov-2008-13/mathematics-ce-board-exam-nov-2008-solution-14/


21/57

atit!de =epart!re en)th

A> 0.5*0 *06.*65 0.222 6*.222 *22.552 27@58"*5@

>? 0.622 5.*22 0.2* *27.307 *47.54 57@50"43@

?= *.00 -236.332 0.437 -4*.4*0 237.733 7@56"*8@ ,

=A 0.664 55.045 0.270 -*47.*2* *58.75 57@44"2*@


22/57

?oncrete beam 8meters lon) and spaced 4m center-to-center are !sed to s!pport

a concrete slab **5 mm thic. The beams have effective depth of 650 mm

meas!red from the slab s!rface& bw#300mm& and are reinforced for tension onl(

with si 28-mm-diameter bars. The beams are to be anal(9ed as T-beams. teel

(ield stren)th f(#350$%a and concrete stren)th fc#2*$%a.

*. ,hich of the followin) most nearl( )ive the width of slab effective as T-beam&

in millimeters:

A. 2000

>. 2*40

?. 4000

=. 3250

2. ,hich of the followin) most nearl( )ive the depth of compression bloc in

millimeters:

A. 36.2

>. 45.2?. 56.3

=. 62.4

3. ,hich of the followin) most nearl( )ive the nominal moment capacit( of the

beam in Ciloewton-$eter.

A. 563

>. 84

?. 752

=. 8*

ol!tion/


23/57


24/57

teel col!mn 3.6m lon) and hin)ed at both ends is !sed to carr( an aial load of

800. The col!mn is s!bect to end moments abo!t its stron) ais Bsin)le

c!rvat!re+ with $*# 70D$2. The frame is braced a)ainst oint translation and is

not s!bected to an( transverse loadin). '(#248$%a& #200. 5

?. 62

=. 68

2. ,hich of the followin) most nearl( )ives the allowable aial compressive

stress of the col!mn in $e)a%ascals.

A. **4

>. *20

?. *33

=. *48

3. 'rom a separate calc!lation with 'b# *47$%a& which of the followin) most

nearl( )ives the maim!m moment that the col!mn can carr(& in Ciloewton-

$eter.

A. 85.6

>. 5.4

?. *.4

=. 8.8

ol!tion/


25/57


26/57

A 4-m sin)le span beam havin) a cross-section of 300mm 500 mm carries a

!niforml( distrib!ted load thro!)ho!t its span. The beam is 80D stress )rade

Apiton) with allowable bendin) stress of *6.5 $e)a%ascals& allowable shearin)

stress of *.3 $%a and mod!l!s of elasticit( of .3* . *03

?. *32

=. *24

2. ,hich of the followin) most nearl( )ives the val!e of the !niform load witho!t

eceedin) the allowable shearin) stress of the beam& in Ciloewton per $eter.A. 63

>. 54

?. 8

=. 5

3. ,hich of the followin) most nearl( )ives the val!e of the !niform load witho!t

eceedin) the allowable deflection& in Ciloewton per $eter.

A. *02

>. 78

?. *24

=. **4

ol!tion/
http://ce-review.com/2010/06/09/design-and-construction-ce-board-exam-nov-2008/structural-ce-board-exam-nov-2008-beam-figure-3/


27/57
http://ce-review.com/2010/06/09/design-and-construction-ce-board-exam-nov-2008/structural-ce-board-exam-nov-2008-solution-3/


28/57

A rectan)!lar reinforced concrete beam has a width of 300mm and an effective

depth of 450mm to tension bars. The beam is reinforced with si 32-mm-

diameter tension bars and two 28-mm-diameter compression bars with centroid

65mm from etreme concrete fiber. ?oncrete stren)th fc#34.5$%a and steel

stren)th f(#345$%a. Ass!me that the contrib!tion of the compression steel

cannot be ne)lected and that compression steel (ields.

*. ,hich of the followin) most nearl( )ives the balanced steel ratio if the beam

were sin)l( reinforced/

A0.044

>.0.033

?.0.055

=.0.022

2. ,hich of the followin) most nearl( )ives the balanced steel ratio for do!bl(reinforced considerin) the effect of the compression steel/

A.0.048

>.0.057

?.0.062

=.0.053

3. ,hich of the followin) most nearl( )ives the !ltimate moment capacit( of the


A.632

>.24

?.5*

=. 5*

ol!tion/


29/57


30/57
http://ce-review.com/2010/05/18/design-and-construction-ce-board-exam-nov-2007-5/structural-ce-board-exam-nov-2007-solution-5-2/http://ce-review.com/2010/05/18/design-and-construction-ce-board-exam-nov-2007-5/structural-ce-board-exam-nov-2007-beam-figure-5/


31/57

The beam is *50mm wide and 300mm deep& The allowablebendin) stresson

etreme fiber is *2$%a. f #2.5m/

*. ,hich of the followin) )ives the maim!m moment that the beam can resist&

in Ciloewton-meter.

A. 24

>. *6

?. *8

=. 2

2. ,hich of the followin) )ives maim!m val!e of %& in Ciloewton:

A. *2.5

>. 8.6

?. 7.5

=. *6.4

3. ,hich of the followin) )ives maim!m val!e of %& in Ciloewton:

A. 2

>. 24

?. *6

=. *8
http://ce-review.com/2010/05/17/design-and-construction-ce-board-exam-may-2007-4/structural-ce-board-exam-may-2007-beam-figure-3-1/


32/57

ol!tion/
http://ce-review.com/2010/05/17/design-and-construction-ce-board-exam-may-2007-4/structural-ce-board-exam-may-2007-beam-figure-3-2/


33/57


34/57

A spiral col!mn 500-mm in diameter is reinforced with 8-28mm diameter bars as

shown. The interaction dia)ram for the col!mn is also )iven.

*. ,hich of the followin) most nearl( )ives the reinforcement ratio in percent.

A. 0.025

>. 0.032

?. 0.0*6

=. 0.04*

2. ,hich of the followin) most nearl( )ives the ratio of eccentricit( to col!mn

dimension in the direction of bendin).

A. 0.40

>. 0.30

?. 0.25

=. 0.35

3. ,hich of the followin) most nearl( )ives the nominal load capacit( of the

col!mn.

A. 2800

>. 2600

?. 200

=. 2500

ol!tion/
http://ce-review.com/2010/04/26/design-and-construction-ce-board-exam-may-2006-7/structural-ce-board-exam-may-2006-spiral-column-figure-6/


35/57


36/57

Eectan)!lar beams 300mm wide 600mm effective deep and 5.8m lon) are spaced

3m on centers. These beams are !sed to s!pport a 70-mm thic concrete slab

po!red monolithicall( with the beam& th!s the beams ma( be considered as T-

beams. The beams are reinforced for tension onl( with ei)ht 28-mm diameter

bars. ?oncrete stren)th fc # 2$%a and steel stren)th f( # 345 $%a. The

provisions of the *772 tr!ctr!ral ?ode of the %hilippines re)ardin) T->eams is

)iven.

*. ,hich of the followin) most nearl( )ives the effective flan)e width accordin)

to the *772 ?%& in millimeters.

A. *450

>. *40?. 3000

=. *250

2. ,hich of the followin) most nearl( )ives the depth of compression bloc

meas!red from the top of the beam& in millimeters.

A. 68

>. 2

?. 60

=. 5*

3. ,hich of the followin) most nearl( )ives the nominal capacit( of the beam in

Ciloewton-$eter.

A. 854

>. 76

?. 53

=. **04

ol!tion/
http://ce-review.com/2010/04/26/design-and-construction-ce-board-exam-may-2006-5/structural-ce-board-exam-may-2006-rectangular-beams-figure-5/


37/57


38/57

A bar metal 25mm in diameter is tested on a len)th of 250mm. in tension the

followin) res!lts were recorded/

oad B+ *0.4 3*.2

tension Bmm+ 0.036 0.087

The Fo!n) $od!l!s is nearl(/

ol!tion/
http://ce-review.com/2010/03/11/structural-design-ce-board-exam-may-1993-5/structural-ce-board-exam-nov-1992-young-modulus-e-figure-5/


39/57
http://ce-review.com/2010/03/11/structural-design-ce-board-exam-may-1993-5/structural-ce-board-exam-nov-1993-solution-5/


40/57

A strip of steel *mm thic is bent into an arc of a circle of radi!s *.0m is e!al

to 200


41/57


42/57

Two pieces of 5mm 400mm Facal members !nder tension are connected

to)ether b( means of a lap splice with 7pcs of 25mm dia. >olts as shown. The

worin) stresses for 80D vis!all( stress-)raded !nseasoned Facal are as

follows/

'rom table T$-6

>endin) and tension parallel to )rain -24.5 $%a

?ompression parallel to )rain -*5.8 $%a

?ompression perpendic!lar to )rain -6.2 $%a

hear parallel to )rian -2.47 $%a

*+ ,hich of the followin) )ives the net area of a timber member: ?onsider hole

diameter to be 2mm lar)er than the bolt diameter

2+ ,hich of the followin) )ives the safe val!e of % considerin) the net area of the

timber member:

3+ ,hich of the followin) )ives the safe val!e of % considerin) the bearin) of the

bolts on the timber.
http://ce-review.com/2010/04/13/design-and-construction-ce-board-exam-nov-2002-7/structural-ce-board-exam-nov-2002-wood-figure-7/


43/57

ol!tion/


44/57

The T-section shown is formed b( oinin) two rectan)!lar pieces of wood

to)ether. The beam is s!bected to a maim!m shearin) force of 60.

*+ ,hich of the followin) )ives the moment of inertia at the ne!tral ais.

2+ ,hich of the followin) )ives the shearin) stress at the ne!tral ais.

3+ ,hich of the followin) )ives the shearin) stress at the !nction between the

two pieces of wood.

ol!tion/
http://ce-review.com/2010/04/13/design-and-construction-ce-board-exam-may-2003-8/structural-ce-board-exam-may-2003-t-section-figure-8-2/http://ce-review.com/2010/04/13/design-and-construction-ce-board-exam-may-2003-8/structural-ce-board-exam-may-2003-t-section-figure-8-1/


45/57
http://ce-review.com/2010/04/13/design-and-construction-ce-board-exam-may-2003-8/structural-ce-board-exam-may-2003-t-section-figure-8-3/http://ce-review.com/2010/04/13/design-and-construction-ce-board-exam-may-2003-8/structural-ce-board-exam-may-2003-solution-8-1/


46/57
http://ce-review.com/2010/04/13/design-and-construction-ce-board-exam-may-2003-8/structural-ce-board-exam-may-2003-t-section-figure-8-4/http://ce-review.com/2010/04/13/design-and-construction-ce-board-exam-may-2003-8/structural-ce-board-exam-may-2003-solution-8-2/


47/57


48/57

?oncrete beam 8meters lon) and spaced 4m center-to-center are !sed to s!pport

a concrete slab **5 mm thic. The beams have effective depth of 650 mm

meas!red from the slab s!rface& bw#300mm& and are reinforced for tension onl(

with si 28-mm-diameter bars. The beams are to be anal(9ed as T-beams. teel

(ield stren)th f(#350$%a and concrete stren)th fc#2*$%a.

*. ,hich of the followin) most nearl( )ive the width of slab effective as T-beam&

in millimeters:

A. 2000

>. 2*40

?. 4000

=. 3250

2. ,hich of the followin) most nearl( )ive the depth of compression bloc in

millimeters:

A. 36.2

>. 45.2?. 56.3

=. 62.4

3. ,hich of the followin) most nearl( )ive the nominal moment capacit( of the


A. 563

>. 84

?. 752

=. 8*

ol!tion/


49/57


50/57

A wall footin) is shown. The !nit wei)ht of soil above footin) is *8 1m3and

!nit wei)ht of concrete is 23.5 1m3. ?oncrete stren)th fc# 2* $%a and steel

(ield stren)th is f(# 4*4 $%a.The allowable soil bearin) capacit( is 2*0 %a.

*. ,hich of the followin) most nearl( )ives the effective soil bearin) capacit( at

the bottom of the footin) in Cilo%ascals.

A. *2

>. *75

?. *86=. *64

2. ,hich of the followin) most nearl( )ives the dimension Bwidth+ of the footin)

in meter:

A. 2.5

>. 2.*

?. 3.2

=. 2.8

3. ,hich of the followin) most nearl( )ives the spacin) of the 28-mm diameter

main bars& in millimeters:

A. 300

>. 250

?. 400

=. 350

ol!tion/
http://ce-review.com/2010/05/17/design-and-construction-ce-board-exam-may-2007/structural-ce-board-exam-may-2007-wall-footing-figure-6/


51/57
http://ce-review.com/2010/05/17/design-and-construction-ce-board-exam-may-2007/structural-ce-board-exam-may-2007-solution-6/


52/57

A b!ilt !p section is made !p of 3 rectan)!lar plates welded to form an G-beam.

The overall depth is 400mm and is *3 meters lon). The slenderness ratio 1r #

200. The ma. load in tension is *600 and a min. load in compression is

260. The member is to carr( a load % # ma load H I min. load.

*+ ?omp!te the re!ired area of the section if allowable stress is *85$%a.

2+ ?omp!te the width of the flan)e if r # J width of flan)e.

3+ ?omp!te the thicness of the plate.

ol!tion/
http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-nov-2003/structural-ce-board-exam-nov-2003-i-beam-figure-2/


53/57
http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-nov-2003/structural-ce-board-exam-nov-2003-solution-2/


54/57

A rectan)!lar beam has a width of 250mm and an effective depth of 400mm. The

beam is reinforced at the top and bottom section with a steel coverin) of 5mm

for the compression bars and has a simple span of 6m..f carries a !niform live

load of 361m and a dead load of *51m. f fc"#2*$%a& f( # 26$%a.

*+ ,hich of the followin) )ives the !ltimate !niform load:

2+ ,hich of the followin) )ives the nominal moment capacit( of the beam at

balanced condition:

3+ ,hich of the followin) )ives the total steel area in tension.

ol!tion/
http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-may-2004-5/structural-ce-board-exam-may-2004-rectangular-beam-figure-1-1/


55/57


56/57
http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-may-2004-5/structural-ce-board-exam-may-2004-rectangular-beam-figure-1-3/http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-may-2004-5/structural-ce-board-exam-may-2004-solution-1-2/http://ce-review.com/2010/04/16/design-and-construction-ce-board-exam-may-2004-5/structural-ce-board-exam-may-2004-rectangular-beam-figure-1-2/


57/57

structural review

Documents