Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 8, Problem 8.6P
For the area of Problem 8.5 , calculate the exact moment of inertia and then calculate the percent error relative to the results obtained using the approximate method.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Determine the area moment of inertia about the horizontal neutral axis (Ixx). Use the cutout method. Ignore shear force V.
Gives some 1 Example with solution about the Maximum and Minimum
Moments of Inertia Using Mohr's Circle.
Problem 2
Consider a rigid body, whose moments of inertia matrix, calculated with respect to the center of mass
and in B-RF coordinates, is:
10
-2
Ig
=
-2
4 -1
11
8 -1
Find the directions of the principal axes of inertia (i.e., find Rgp) and the principal moments of inertia
matrix 19.
Chapter 8 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 8 - Calculate the moment of intertia with respect to...Ch. 8 - Calculate the moment of inertia of the triangular...Ch. 8 - A structural steel wide-flange section is...Ch. 8 - The concrete block shown has wall thicknesses of...Ch. 8 - A rectangle has a base of 6 in. and a height of 12...Ch. 8 - For the area of Problem 8.5 , calculate the exact...Ch. 8 - Check the tabulated moment of inertia for a 300610...Ch. 8 - For the cross section of Problem 8.3 , calculate...Ch. 8 - Calculate the moments of intertia with respect to...Ch. 8 - Calculate the moments of intertia with respect to...
Ch. 8 - The rectangular area shown has a square hole cut...Ch. 8 - For the built-up structural steel member shown,...Ch. 8 - Calculate the moments of inertia about both...Ch. 8 - Calculate the moment of inertia with respect to...Ch. 8 - For the two channels shown, calculated the spacing...Ch. 8 - Compute the radii of gyration about both...Ch. 8 - Two C1015.3 channels area welded together at their...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Calculate the polar moment of inertia for a...Ch. 8 - Calculate the polar moment of inertia for a...Ch. 8 - For the areas (a) aid (b) of Problem 8.9 ,...Ch. 8 - For the following computer problems, any...Ch. 8 - For the following computer problems, any...Ch. 8 - For the following computer problems, any...Ch. 8 - For the cross section shown, calculate the moments...Ch. 8 - Calculate the moments of inertia of the area shown...Ch. 8 - For the cross-sectional areas shown, calculate the...Ch. 8 - For the cross-sectional areas shown, calculate the...Ch. 8 - Calculate the moments of intertia of the built-up...Ch. 8 - Calculate the moments of inertia about both...Ch. 8 - Calculate lx and ly of the built-up steel members...Ch. 8 - Calculate the least radius of gyration for the...Ch. 8 - A structural steel built-up section is fabricated...Ch. 8 - Calculate the polar moment of inertia for the...Ch. 8 - Determine the polar moment of inertia for the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Calculate the polar moment of inertia about the...Ch. 8 - The area of the welded member shown is composed of...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 8.4 The moment of Inertia of a composite area is found by Summing the moments of inertia of the components parts as determined by the transfer formula:arrow_forwardI need help with problem 6arrow_forwardarrow_forwardComplete the following sentence 1- The center of mass of a rigid body in the form of thin wire across y-direction is given by.. 2- The center of mass of a rigid body in the form of thin shell across x-direction is given by. . 3- The moment of inertia of a rigid body rotate about a fixed axis (z- axis ) is given by.. . 4- The rotational kinetic energy of a rigid body rotate about a fixed axis is given by. . 5- The torque about the axis of rotation is given by.... .....................arrow_forwardCompute the principal centroidal moments of inertia for the plane area.arrow_forwardThe L806010-mm structural angle has the following cross-sectional properties: Ix=0.808106mm4,Iy=0.388106mm4, and I2=0.213106mm4, where I2 is a centroidal principal moment of inertia. Assuming that Ixy is negative, compute (a) I1 (the other centroidal principal moment of inertia); and (b) the principal directions at the centroid.arrow_forwardThe shaded area shown in (Figure 1) is bounded by the line y=zm and the curve y² = 2.22 m², where is in m. Suppose that a 2.2 m. Figure yux a 10/1 Part A Determine the moment of inertia for the shaded area about the y axis. Express your answer to three significant figures and include the appropriate units. 1,- Submit HÁ Value Provide Feedback Bequest Answer Units Nextarrow_forwardSolve correctly x2+y2<_16.arrow_forwardAnswer all parts please Crate A has a mass, mA-5 kg and attached to a rolling ball with a mass of my- 2.5 kg with radius of gyration, ko of 0.2 m as shown in Figure 4. Assume that the pulley is frietionless and massless. (Given 0-30") (a) Compute the moment of inertia of the ball. (b) Draw the free-body diagram of the crate and the ball. (c) If the crate is released from rest, determine the tension and acceleration of the crate and the ball. (d) Calculate the final velocity of the crate if it has descended 0.5 m.arrow_forward5. Calculate the moments of inertia I1, I2, and I3 for a homogeneous cone of mass M whose height is h and whose base has a radius R. Choose the origin at the apex of the cone, and calculate the elements of the inertia tensor. Then make a transformation such that the center of mass of the cone becomes the origin, and find the principal moments of inertia.arrow_forwardWhat do Moments of Inertia and Polar Moments of Inertia values mean? Extend your responses.arrow_forwardProblem -07 Moment of Inertia(Double points)(a) Determine by direct integration the polar moment of inertia of the semi-annular area shown (Fig -7) with respect to point O. (b) Using the result of part a, determine the moments of inertia of the given area with respect to the x and y axes.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY