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8/21/2019 Report Static Khawa
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CONTENT
TITLE PAGES
CHAPTER 1
INTRODUCTION
PROBLEM STATEMENTOBJECTIVE
RELEVANT TITLE
CHAPTER 2
LITERATURE REVIEW
CHAPTER 3
METHADOLOGY
APPLICATION AND MATHEMATICAL CALCUATION
CONCLUSIONRECOMMENDATION
REFERENCE
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CHAPTER 1
INTRODUCTION
DEFINATION OF MOMENT
In p!"#$"% &'&(n) #" * $'&+#n*)#'n ', * p!"#$*- ./*n)#)! *n0 * 0#")*n$( M'&(n)" *( /"/*--!
0(,#n(0 3#) ("p($) )' * ,#4(0 (,((n$( p'#n) ' *4#" T(! 0(*- 3#) p!"#$*- ./*n)#)#(" *"
&(*"/(0 *) "'&( 0#")*n$( ,'& )*) (,((n$( p'#n) ' *4#" F' (4*&p-(% * &'&(n) ', ,'$( #"
)( p'0/$) ', * ,'$( *n0 #)" 0#")*n$( ,'& *n *4#"% 3#$ $*/"(" ')*)#'n *+'/) )*) *4#" In
p#n$#p-(% *n! p!"#$*- ./*n)#)! $*n +( $'&+#n(0 3#) * 0#")*n$( )' p'0/$( * &'&(n)
C'&&'n-! /"(0 ./*n)#)#(" #n$-/0( ,'$("% &*""("% *n0 (-($)#$ $*( 0#")#+/)#'n
STATICS OF BENDING: SHEAR AND BENDING MOMENT DIAGRAMS
B(*&" *( -'n *n0 "-(n0( ")/$)/*- (-(&(n)"% 0#,,(#n ,'& )/"" (-(&(n)" #n )*) )(! *(
$*--(0 'n )' "/pp') )*n"6("( *" 3(-- *" *4#*- -'*0" T(# *))*$&(n) p'#n)" $*n *-"' +( &'(
$'&p-#$*)(0 )*n )'"( ', )/"" (-(&(n)" )(! &*! +( +'-)(0 ' 3(-0(0 )'()(% "' )(
*))*$&(n)" $*n )*n") +(n0#n &'&(n)" ' )*n"6("( ,'$(" #n)' )( +(*& B(*&" *( *&'n
)( &'") $'&&'n ', *-- ")/$)/*- (-(&(n)"% +(#n )( "/pp')#n ,*&(" ', *#p-*n("% +/#-0#n"%
$*"% p('p-(% *n0 &/$ (-"( T( n'&(n$-*)/( ', +(*&" #" *)( ")*n0*0 *" "'3n #n F# 1% L
#" )( -(n)% ' "p*n + #" )( 3#0)% *n0 #" )( (#) *-"' $*--(0 )( 0(p): T( $'"";
"($)#'n*- "*p( n((0 n') +( ($)*n/-*% *n0 ',)(n $'n"#")" ', * 6()#$*- 3(+ "(p**)#n '#
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Figure 1.1: Beam nomenclature.
Free-body di!r"#
A" * "#&p-( ")*)#n (4*&p-(% $'n"#0( * +(*& $-*&p(0 =$*n)#-(6((0>: *) 'n( (n0 *n0 "/+?($)(0
)' * -'*0 P *) )( ,(( (n0 *" "'3n #n F# 2 A ,(( +'0! 0#**& ', * "($)#'n $/) )*n"6("(-! *)
p'"#)#'n 4 "'3" )*) * "(* ,'$( V *n0 * &'&(n) M &/") (4#") 'n )( $/) "($)#'n )' &*#n)*#n
(./#-#+#/& W( 3#-- "'3 #n M'0/-( 1@ )*) )("( *( )( ("/-)*n)" ', "(* *n0 n'&*- ")(""("
)*) *( "() /p 'n #n)(n*- p-*n(" +! )( +(n0#n -'*0" A" /"/*-% 3( 3#-- $'n"#0( "($)#'n *(*"
3'"( n'&*- p'#n) #n )( 4 0#($)#'n )' +( p'"#)#6( )(n "(* ,'$(" p'#n)#n #n )( !
0#($)#'n 'n 4 ,*$(" 3#-- +( $'n"#0((0 p'"#)#6( M'&(n)" 3'"( 6($)' 0#($)#'n *" #6(n +!
)( #);*n0 /-( *( #n )( < 0#($)#'n 6($)' '/) ', )( p-*n( ', )( p*p(% ' )(n0#n )'
$*/"( $'/n)($-'$3#"( ')*)#'n #n )( p-*n( ', )( p*p(: 3#-- +( p'"#)#6( 3(n *$)#n 'n 4
,*$(" An')( 3*! )' ($'n#
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N')( )*) )( &'&(n) #n$(*"(" 3#) 0#")*n$( ,'& )( -'*0(0 (n0% "' )( &*n#)/0( ', )(
&*4#&/& 6*-/( ', M $'&p*(0 3#) V #n$(*"(" *" )( +(*& +($'&(" -'n( T#" #" )/( ',
&'") +(*&"% "' "(* (,,($)" *( /"/*--! &'( #&p')*n) #n +(*&" 3#) "&*-- -(n);)';(#)
*)#'"
Figure 1.2: Shear and bending moment diagrams.
A" ")*)(0 (*-#(% )( ")(""(" *n0 0(,-($)#'n" 3#-- +( "'3n )' +( ,/n$)#'n" ', V *n0 M% "' #) #"
#&p')*n) )' +( *+-( )' $'&p/)( '3 )("( ./*n)#)#(" 6*! *-'n )( +(*&" -(n) P-')" ', V 4:
*n0 M4: *( n'3n *" "(* *n0 +(n0#n &'&(n) 0#**&"% *n0 #) #" n($(""*! )' '+)*#n )(&
+(,'( )( ")(""(" $*n +( 0()(n(0 F' )( (n0;-'*0(0 $*n)#-(6(% )( 0#**&" "'3n #n
F#/( 12
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Figure 1.3: Wall reactions for the cantilevered beam.
Di#$rib%$ed &od#
T*n"6("( -'*0" &*! +( *pp-#(0 )' +(*&" #n * 0#")#+/)(0 *)( )*n *);*;p'#n) &*nn( *"
0(p#$)(0 #n F# % 3#$ ) +( 6#"/*-#
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F#/( 1 D#")#+/)(0 *n0 $'n$(n)*)(0 -'*0"
T( p/p'"( ', 0()(n#n )( "/pp') (*$)#'n ,'$(" R1 *n0 R2% )( 0#")#+/)(0 )#*n/-* -'*0
$*n +( (p-*$(0 +! #)" ")*)#$ (./#6*-(n) T( &*n#)/0( ', )#" (./#6*-(n) ,'$( #"
∫0
2
−600 xdx=1200
T( (./#6*-(n) ,'$( *$)" )'/ )( $(n)'#0 ', )( )#*n/-* *(*% 3#$ #" #" 2@ ', )(
0#")*n$( ,'& #)" n*'3 (n0 "(( P'+ 1: T( (*$)#'n R2 $*n n'3 +( ,'/n0 +! )*#n &'&(n)"*'/n0 )( -(,) (n0
MA 51: 12:2
3 R22: R2 5
T( ')( (*$)#'n $*n )(n +( ,'/n0 ,'& 6()#$*- (./#-#+#/&
F! R1 5 12 5
15
Ty'e o( &od#
*: C'n$(n)*)(0 -'*0 "#n-( ,'$(:
+: D#")#+/)(0 -'*0 &(*"/(0 +! )(# #n)(n"#)!:
; /n#,'&-! 0#")#+/)(0 -'*0 /n#,'& -'*0:
; -#n(*-! 6*!#n -'*0
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$: C'/p-(
PROBLEM STATEMENT
T(( #" p'+-(& )*) *6( )' +( "'-6(0 #n )#" $*p)( )*) #" &'&(n) T( )'p#$ )*) 3( 3*n) )','$/" #" )( 0#")#+/)#'n -'*0#n T("( *( )( (4*&p-( ', )( p'+-(&" T("( *( )( )!p( ',
./(")#'n ' p'+-(& )*) #" ,*-#* #n )#" )'p#$
1 L'$*)( )( &*n#)/0( *n0 p'"#)#'n ', )( ,'$( (./#6*-(n) )' )( -'*0#n 0#")#+/)#'n" "'3n
#n )( ,#/( +(-'3
2 D()(n( )( +(n0#n &'&(n) M θ : *-'n )( $#$/-* $/6(0 +(*& "'3n
T( ,#/( *+'6( *( )( (4*&p-( ', p'+-(& )*) *6( )' +( "'-6(0 *n0 )' ,#n0 )( &*n#)/0(
*n0 )( -'$*)#'n ', ("/-)*n) ,'$(
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OB)ECTI*E + SCOPE
1: T' /n0(")*n0 )( $'n$(p) ', F'$( S!")(& R("/-)*n)" *n0 M'&(n)2: T' n'3 )( $'n$(p) *n0 )( $*-$/-*)#'n )' "'-6( )( R(0/$)#'n ', * S#&p-( D#")#+/)(0
L'*0#n@: T' ,#n0 )( "'-/)#'n ', )( p'+-(& ")*)(&(n) )*) #" )' "'-6( )( &*n#)/0( *n0 )(
("/-)*n) ', )( ,'$(
RELE*ENT TITLE
App-#$*)#'n ', 0#")#+/)(0 -'*0#n 'n )( +''"(-,
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CHAPTER 2
LITERATURE RE*IE,
B(*& &*! +( 0(,#n(0 *" &(&+( 3'"( -(n) #" -*( #n $'&p*#"'n 3#) #)" )#$n("" *n0 #"
-'*0(0 3#) )*n"6("( -'*0" ' $'/p-(" )*) p'0/$( "#n#,#$*n) +(n0#n (,,($)" B(*&" *( "'
$'&&'n #n (n#n((#n ")/$)/(" )*) )(# #&p')*n$( $*nn') +( '6((&p*"#
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• C'/p-(" $'/p-( #" * )/n#n &'&(n) *pp-#(0 *) * p*)#$/-* p'#n) *-'n )( +(*& "p*n
T#" )/n#n &'&(n) $*n +( *$#(6(0 +! /"#n &($*n#"& ,' *pp-#$*)#'n ', p**--(-
,'$(" 3'"( 0#($)#'n" ', *$)#'n *( 'pp'"#)( +/) *( "(p**)(0 +! * 0#")*n$( $*--(0
&'&(n) *&
• R(*$)#'n" A" ("p'n"( )' *pp-#(0 -'*0"% )( +(*& *n0 )( "/pp')" (*$) +! *n #n)(n*-
,'$( 3#$ #" 'pp'"#)( )' )( *pp-#(0 -'*0" #n '0( )' (&*#n #n (./#-#+#/& T(
(*$)#'n" *) )( "/pp')" #6( #"( )' *n #n)(n*- "(* ,'$( 3#$ *$)" *) (6(! "($)#'n ',
)( +(*& T' &*#n)*#n #)" (./#-#+#/&% )( +(*& (*$)" )' )/n#n (,,($) ', (4)(n*- -'*0"
#n ,'& ', #n)(n*- +(n0#n &'&(n)" 3#$ 6*! *-'n )( p'"#)#'n ', )( +(*&
CHAPTER 3
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METHODOLOG
T( ,#/( *+'6( "'3" )( -'*0#n 'n )( +(*& +#0( #" 0#")#+/)(0 *" "'3n S' 3( n((0 )'
n'3 )( &()'0 '3 )' ,#n0 )( ("/-)*n) ,'$( *n0 3( n((0 )' n'3 3(( )( ("/-)*n) ,'$(
*$)" 'n )( +(*& +#0( W( *( *-"' n((0 )' n'3 )( &*n#)/0( *n0 )( -'$*)#'n ', )(
(./#6*-(n) ("/-)*n) ,'$( #n )( ')( 3'0"
S' ((% )(( *( #&p')*n) p'#n)" 3( n((0 )' n'3 )' "'-6( )#" "'-/)#'n
• C'p-*n* 0#")#+/)(0 -'*0#n" *( 0(,#n(0 +! /"#n * -'*0#n ,/n$)#'n 3 34: )*)
#n0#$*)(" )( #n)(n"#)! ', )( -'*0#n *-'n )( -(n) ', * &(&+(
• T( (4)(n*- (,,($)" $*/"(0 +! * $'p-*n* 0#")#+/)(0 -'*0 *$)#n 'n * +'0! $*n +(
(p("(n)(0 +! * "#n-( ("/-)*n) ,'$(
• T#" ("/-)*n) ,'$( #" (./#6*-(n) )' )( *(* /n0( )( -'*0#n 0#**&% *n0 *" * -#n( ',
*$)#'n )*) p*""(" )'/ )( $(n)'#0 ' ('&()#$ $(n)( ', )#" *(*
APPLICATION AND MATHEMATICAL CALCULATION
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S'% (( *( )( (4*&p-( ', )( *pp-#$*)#'n )*) /"(0 #n $*"( ")/0! L#( * p#$)/( +(,'( )#"% #" *
+#0( )*) *" * 0#")#+/)#'n -'*0#n 'n #) S'% )( p#$)/( +(-'3 #" "'&( (4*&p-( ', )(
"#)/*)#'n T( -'*0#n 'n +''"(-, #" 0#")#+/)(0 *" "'3n D()(n( )( &*n#)/0( ', )(
(./#6*-(n) ("/-)*n) -'$*)#'n% &(*"/(0 ,'& p'#n) O
THE CALCULATION
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CONCLUSION
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S'% )( $'n$-/"#'n )*) $*n +((n &*0( #" ,'& )( $*"( ")/0! *n0 )( "'-/)#'n% 3( $*n n'3 *n0
&'( /n0(")*n0 'n )( )'p#$ )*) *" +((n ,'$/" )*) #" M'&(n) R(0/$)#'n ', * "#&p-(
0#")#+/)(0 -'*0#n: W( 3#-- n'3 )( &()'0 )' "'-6( )#" p'+-(& W( n'3 '3 )' ,#n0 F4
*n0 F! *n0 *-"' ,#n0 4 )*) #" )( -'$*)#'n ', )( (./#6*-(n) ("/-)*n) ', )( -'*0 ,'& )(
&'&(n) W( *-"' $*n *""/&( )( &'&(n) $-'$3#"( *n0 *n)#$-'$3#"( *" * p'"#)#6( +/) *) )(
(n0 ', "'-/)#'n 3( 3#-- () )( "*&( *n"3( F'& )( $*"( ")/0! * I 0#0 #) *-'n(% I /n0(")*n0
&'( *+'/) )#" "/+)'p#$ )*) #" R(0/$)#'n ', A S#&p-( D#")#+/)(0 L'*0#n
RECOMMENDATION
In )#" $*"( ")/0!% 3*) 3( n((0 )' n'3 #" )( )')*- ,'$( )*) #" *pp-#(0 )' )( +(*& +''"(-,
S' )( ,'$( )*) #" *pp-#(0 &/") n') (4$((0#n )' )( &*4#&/& +($*/"( #) $*n &*( )( +(*&
+''"(-, )' +'( S' 3*) IK& ($'&&(n0#n (( #" 3( n((0 )' n'3 )' n'3 "/#)*+-( ,'$(
)' *pp-! 'n )( +(*& ' *n! $'n")/$)#'n T#" #" 6(! #&p')*n)
REFERENCE
1: S)*)#$" ', B(n0#n S(* *n0 B(n0#n M'&(n) D#**&" D*6#0 R'!-*n$(
D(p*)&(n) ', M*)(#*-" S$#(n$( *n0 En#n((#n
M*""*$/"())" In")#)/)( ', T($n'-'!
C*&+#0(% MA 21@9
N'6(&+( 15% 2
2: P(*"'n E0/$*)#'n S'/) A"#* P)( L)0
C'p!#) 21@ +! RC H#++(-(
15