A solid circular bar ABCD with fixed supports at ends A and D is acted upon by two equal and oppositely directed torques To, as shown in the figure. The torques are applied at points B and C, each of which is located at distance m from one end of the bar. (The distance m may vary from zero to L/2.) To To Tp m (a) For what distance m will the angle of twist at points B and C be a maximum? (b) What is the corresponding angle of twist max? [Hint: Use the equations below to obtain the reactive torques. Assume that the shear modulus of elasticity is denoted G, and the polar moment of inertia is denoted Ip.] ToLB TOLA TA = 201B ; TB = L
A solid circular bar ABCD with fixed supports at ends A and D is acted upon by two equal and oppositely directed torques To, as shown in the figure. The torques are applied at points B and C, each of which is located at distance m from one end of the bar. (The distance m may vary from zero to L/2.) To To Tp m (a) For what distance m will the angle of twist at points B and C be a maximum? (b) What is the corresponding angle of twist max? [Hint: Use the equations below to obtain the reactive torques. Assume that the shear modulus of elasticity is denoted G, and the polar moment of inertia is denoted Ip.] ToLB TOLA TA = 201B ; TB = L
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A solid circular bar ABCD with fixed supports at ends A and D is acted upon by two equal and oppositely directed torques To, as shown in the figure. The torques are applied at points B and C,
each of which is located at distance m from one end of the bar. (The distance m may vary from zero to L/2.)
To
To
TA
A
B
Tp
(a) For what distance m will the angle of twist at points B and C be a maximum?
(b) What is the corresponding angle of twist Pmax? [Hint: Use the equations below to obtain the reactive torques. Assume that the shear modulus of elasticity is denoted G, and the polar moment of
inertia is denoted Ip.]
TOLB. TB =
TA =
TOLA
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb213a19-1627-4450-8dd2-7109c19b88cc%2F902d00ef-d114-40c5-b588-ceb3e481f776%2Filtwk98_processed.png&w=3840&q=75)
Transcribed Image Text:A solid circular bar ABCD with fixed supports at ends A and D is acted upon by two equal and oppositely directed torques To, as shown in the figure. The torques are applied at points B and C,
each of which is located at distance m from one end of the bar. (The distance m may vary from zero to L/2.)
To
To
TA
A
B
Tp
(a) For what distance m will the angle of twist at points B and C be a maximum?
(b) What is the corresponding angle of twist Pmax? [Hint: Use the equations below to obtain the reactive torques. Assume that the shear modulus of elasticity is denoted G, and the polar moment of
inertia is denoted Ip.]
TOLB. TB =
TA =
TOLA
20
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