Angle of Twist lecture 10
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The document is a lecture note from Erbil Polytechnic University discussing the topic of angle of twist in materials, specifically focusing on shafts under torque. It includes examples of calculations for the angle of twist and displacement of gears attached to a steel shaft. The content is structured to support civil engineering students in understanding the mechanics of materials.
![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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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