I need help with this question, I am uncertain as to how they got 3.2572in^4 for "J" and value 0.73749in for "py" in the solution. If you can figure out how they got these values id greatly appreciate your input thank you.
I need help with this question, I am uncertain as to how they got 3.2572in^4 for "J" and value 0.73749in for "py" in the solution. If you can figure out how they got these values id greatly appreciate your input thank you.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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I need help with this question, I am uncertain as to how they got 3.2572in^4 for "J" and value 0.73749in for "py" in the solution. If you can figure out how they got these values id greatly appreciate your input thank you.
Transcribed Image Text:SOLUTION
From the solution to Prob. 3.114,
After loading.
During unloading,
Y
= Pº
L
Permanent angle of twist.
Q =
Road =
Ø
=
=
Py
с
Py = 0.73749 in.
Ly
P
c = 1.2 in.
J = 3.2572 in¹
TL
GJ
=
= 0.61458
LYY
Pr
=
Lty
PyG
(420)(22x10³)
(0.73749)(11.2 x 106)
(elastic)
(75 × 10³ )(420)
(11.2 x 10°)(3.2572)
L = 35 ft = 420 in.
= 1.11865 rad = 64.09°
T = 5x10³N-m
= 0.86347 rad = 49.47°
Operm = load = 1.11865-0.86347 = 0.25518
9 = 14.62°
Transcribed Image Text:35 ft
A
B
T
1.2 in.
PROBLEM 3.115
In Prob. 3.114, determine the permanent angle of twist of the rod.
PROBLEM 3.114 The solid circular drill rod AB is made of steel that is assumed to
be elastoplastic with Ty = 22 ksi and G=11.2×106 psi. Knowing that a torque
T = 75 kip in. is applied to the rod and then removed, determine the maximum
residual shearing stress in the rod.
SOLUTION
From the solution to Prob. 3.114,
c = 1.2 in.
J = 3.2572 in 4
Pr
с
Py = 0.73749 in.
= 0.61458
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