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
Videos
Textbook Question
Chapter 8, Problem 8.25CP
For the following computer problems, any appropriate software may be used. Input prompts should fully explain what is required of the user (the program should be user-friendly). The resulting output should be well labeled and self-explanatory. For spreadsheet problems, any appropriate software may be used.
8.25 Write a program that will calculate rectangular moments of intertia, radii of gyration, and polar moments of inertia for a rectangular area. Both the X-X (horizontal) and Y-Y (vertical) axes should be considered. User input is to be width and height of the rectangular area.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Centroids and Moment of Inertia for
composite figures
Determine the centroids (x, ỹ) of the figure shown
below from the axes of reference (blue arrows)
Use the blue arrows as the axes of reference.
Take note that when the axis of reference is not at the end of the figure, the left
side / the downward side values must be negative using Varignon's Theorem.
Ex: in finding & from the set y-axis, the value of the centroids of individual figures
on the left is negative, while on the right side of the figure is positive.
R20
Determine the Moment of Inertia (Not Centroidal) of
the given figure (Ix)
20
30
1. Determine x [ Select]
2. Determine ỹ [Select]
3. Determine Ix [Select]
>
a)Enter the Moment of Inertia of the rectangle (1) about its own centroidal x-axis, Enter your answer in the form: x106 mm4, to five significant figures.
b)Enter the Moment of Inertia of the rectangle (1) about the x-axis, Ix Enter your answer in the form: x106 mm4, to five significant figures.
c)Enter the Moment of Inertia of the quarter circle (2) about its own centroidal x-axis, Enter your answer in the form: x103 mm4, to five significant figures.
d)Enter the Moment of Inertia of the quarter circle (2) about the x-axis, Enter your answer in the form: x106 mm4, to five significant figures.
e)Enter the Moment of Inertia of the triangle (3) about its own centroidal x-axis, Enter your answer in the form: x103 mm4, to five significant figures.
f)Enter the Moment of Inertia of the triangle (3) about the x-axis, Enter your answer in the form: x103 mm4, to five significant figures.
g)Enter the Moment of Inertia of the Composite shape about the x-axis, Ix :Enter your answer in the form:…
Hello,
I don't understand how to get the to equation of the moment of inertia for the shape in the picture below. I have added my own finding in the photo below. I hope you can help me.
Thanks!
Julia
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
- Complete 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_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 principal centroidal moment of inertia. Assuming Ixy is negative, compute (a) I1 (the other principal centroidal moment of inertia); and (b) the principal directions.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_forward
- In the area of the shaded region below, calculate the following: a.) Location of Centroid from x and y axis as shown b.) The moment of inertia with respect to y axis as shown, ly 5+2b+2a All units in cm STUDENT NO CODE: 20XX-XABCDE (EX. 2016-083701, A=8, B=3, C-7, D=0, E-1) r=2+e r=3+c+2darrow_forwardIf you know a rigid body's moment of inertia about an axis through the center of mass, how do you calculate the moment of inertia for the axis parallel to the center of mass? (Note: It is not required to prove your answers. Please only describe it. You can directly write the final equation) *Dosva vüklemaniz içinarrow_forwardChat Instructions 2. For the shaded area shown, determine Portfolio a. The location of its centroid b. The moment of inertia and radius of gyration with respect to its centroidal x - axis Shortcuts c. The moment of inertia and radius of gyration with respect to its centroidal y -axis USL Library 160 mm Get Help 40 mm 200 mm 40 mm 1 40 mm 120 mm W Type here to searcharrow_forward
- For problems 1-3, use the following information. A composite shape is drawn to scale below. Grid units are [mm]. 0 1. Determine the area of the shape 2. Determine the moment of inertia about the y-axis. 3. Determine the radius of gyration with respect to the y-axis.arrow_forwardDerive inertia moments from a triangle grapharrow_forwardIdentify the following statement that is true regarding products of inertia. Product of inertia magnitudes for composite areas are always non-zero. Product of inertia magnitudes must be equal to or greater than the magnitude of the area. In order for a product of inertia to be zero, the area must be symmetric about both axes in a set. Small areas at large distances away from the axes can potentially have the same product of inertia magnitude as large areas that lie closer to the axes. If the x-centroidal and the y-centroidal dimensions for an area are equal in magnitude but have opposite signs, then the product of inertia for that area will be zero.arrow_forward
- The 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_forward4. Find the Area Moment of Inertia Ix about the X-axis, if a = 7 inches, b = 14 inches h = 7 inches, and Y bar = 3.11 inches to the Centroid of the diagam from the base of the diagram. The X-axis is Ithe horizontal axis that goes through the Centroid (C) and is located 3.11 inches (Y bar) from the base of the diagram. %3D MacBook Airarrow_forward8) Find the centre of mass (centroid) for the following object: Note: use the following for a semi-circle 14 in 1.4 in 1.4 in 1.4 in 4.2 in Carrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_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