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Erbil Polytechnic University Strength of Materials-I (STM303)
Erbil Technical College Dr. Feras Khlef
Civil Engineering Techniques Dept. First Semester 2021
Lecture 10
Angle of Twist
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Civil Engineering Techniques Dept. First Semester 2021
Lecture 10
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Erbil Technical College Dr. Feras Khlef
Civil Engineering Techniques Dept. First Semester 2021
Lecture 10
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Erbil Polytechnic University Strength of Materials-I (STM303)
Erbil Technical College Dr. Feras Khlef
Civil Engineering Techniques Dept. First Semester 2021
Lecture 10
Ex1: D etermin e th e a ngle of twist of th e e nd
A of th e ste el sh aft sho wn in th e Fig. Also,
wh a t is th e a ngle of twist of A rela tiv e to C ?
Th e sh aft h as a dia m eter of 200 m m.
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Erbil Polytechnic University Strength of Materials-I (STM303)
Erbil Technical College Dr. Feras Khlef
Civil Engineering Techniques Dept. First Semester 2021
Lecture 10
Ex2: Th e g e ars a tt a ch e d to th e fixe d-e nd ste el
sh aft are subje cte d to th e torqu es sho wn in th e
Fig. If th e sh aft h as a dia m eter of 14 m m,
d etermin e th e displa c e m e nt of th e to oth P on
g e ar A. G = 80 GPa.
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Erbil Polytechnic University Strength of Materials-I (STM303)
Erbil Technical College Dr. Feras Khlef
Civil Engineering Techniques Dept. First Semester 2021
Lecture 10

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Angle of Twist lecture 10

  • 1. Erbil Polytechnic University Strength of Materials-I (STM303) Erbil Technical College Dr. Feras Khlef Civil Engineering Techniques Dept. First Semester 2021 Lecture 10 Angle of Twist ! "#"$"%&' ( " ' ) *+ ,( ' '
  • 2. Erbil Polytechnic University Strength of Materials-I (STM303) Erbil Technical College Dr. Feras Khlef Civil Engineering Techniques Dept. First Semester 2021 Lecture 10 Constant torque and cross-section Multiple Torques # - +./.0 ' ,1 % 2+ 3- % 45- 6 +78.++ #""9'/0% - ##:+7;7; '7<=
  • 3. Erbil Polytechnic University Strength of Materials-I (STM303) Erbil Technical College Dr. Feras Khlef Civil Engineering Techniques Dept. First Semester 2021 Lecture 10 Sign Convention >8 (
  • 4. Erbil Polytechnic University Strength of Materials-I (STM303) Erbil Technical College Dr. Feras Khlef Civil Engineering Techniques Dept. First Semester 2021 Lecture 10 Ex1: D etermin e th e a ngle of twist of th e e nd A of th e ste el sh aft sho wn in th e Fig. Also, wh a t is th e a ngle of twist of A rela tiv e to C ? Th e sh aft h as a dia m eter of 200 m m. - - - - ?# @ A @ #+ 6 B #"# ' ##"## , C' 2* ,( B 0 ' ) D5EEF3GD-H B 8CI ED = J :KL > * DM(NB *+ ,( , - 5 - EHG?HO'F3GDFJ 5 -E'OG33DGE8CI = -GDHG?HGFG? B P 2 1Q >7 *R+! B:5'?*?S<*HTCI 5U -HG3FH-E'OND ' VNNN$#"##"+5I W QX -
  • 5. Erbil Polytechnic University Strength of Materials-I (STM303) Erbil Technical College Dr. Feras Khlef Civil Engineering Techniques Dept. First Semester 2021 Lecture 10 Ex2: Th e g e ars a tt a ch e d to th e fixe d-e nd ste el sh aft are subje cte d to th e torqu es sho wn in th e Fig. If th e sh aft h as a dia m eter of 14 m m, d etermin e th e displa c e m e nt of th e to oth P on g e ar A. G = 80 GPa. - ( - 2C+.<+ 'YNC##"#+ Z ?X 2 - Q+C7! ,"C9 B ) 5 D'[8CI 5 - %] ^2 %7 S X5 -3HDGDH# 5H -EEGDH _`/G 3a'3a3HE# bN 8CI - Qc '+*=''+* B % 5 - ! ' [?[ dCI 25 D'[-3'[a-D'[?[ e 5 ?- I*+ ' "f; ' #? B
  • 6. Erbil Polytechnic University Strength of Materials-I (STM303) Erbil Technical College Dr. Feras Khlef Civil Engineering Techniques Dept. First Semester 2021 Lecture 10