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. SOLUTIONFrom the solution to Prob. 3.114,After loading.During unloading,Y= PºLPermanent angle of twist.Q =Road =Ø==PyсPy = 0.73749 in.LyPc = 1.2 in.J = 3.2572 in¹TLGJ== 0.61458LYYPr=LtyPyG(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 = 0.255189 = 14.62° 35 ftABT1.2 in.PROBLEM 3.115In 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 tobe elastoplastic with Ty = 22 ksi and G=11.2×106 psi. Knowing that a torqueT = 75 kip in. is applied to the rod and then removed, determine the maximumresidual shearing stress in the rod.SOLUTIONFrom the solution to Prob. 3.114,c = 1.2 in.J = 3.2572 in 4PrсPy = 0.73749 in.= 0.61458

the radiaus of the circular shaft (c) =1.2 inlength of the shaft AB (L)=35 ftty=22 ksiG=11.2 x 106…

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.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Measuring site work, Excavation and Piling

Bid drawings typically include very little material about the precise requirements of site work operations, measuring site work and excavation work differs from measuring most other works on a construction project. The actual site work conditions are not provided and also the dimensions of the excavations are not known during the pre-construction phase. The precise measurement of the excavation and backfill of the earth material and topsoil is important for a contractor to decide upon the total cost required for the process. All the works should be carried out under OSHA (Occupational Safety and Health Administration) standards to ensure the safety of the workers.

Question

100%

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°

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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