APPLIED STATICS & STRENGTH OF MATERIALS
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ISBN: 9781323905210
Author: Limbrunner
Publisher: PEARSON C
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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.
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Chapter 8 Solutions
APPLIED STATICS & STRENGTH OF MATERIALS
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...
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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
- Compute 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 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_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_forward
- Problem -08 Moment of InertiaDetermine the polar moment of inertia of the area shown with respect to (a) point O, (b) the centroid of the area.arrow_forwardSpecifically a Statics problem. Determine the moment of inertia of the shape (a=15 mm) with respect to the x-axis.arrow_forwardCompute for the value of: Average Moment of Inertia Moment of Inertial about the Y-axis = 0.667 x 106 mm4 ,and Product of Inertia, Ixy = 1.000 x 106 mm4 Fill in the blanks____ x 106 mm4arrow_forward
- 1) Sketch the cross-sectional picture of a W8x67 sitting on top of a W16x26 (the vertical centerlines are colinear). a)The magnitude of the Area Moment of Inertia about the horizontal centroidal axis of the built-up member is _____in4. b)The magnitude of the Area Moment of Inertia about the vertical centroidal axis of the built-up member is _____in4. c)The magnitude of the Area Moment of Inertia about the centroidal z-axis (aka Polar Moment of Inertia about the centroidal origin) of the built-up member is _____in4. d)The magnitude of the Radius of Gyration about the horizontal centroidal axis of the built-up member is _____in. e)The magnitude of the Radius of Gyration about the vertical centroidal axis of the built-up member is _____in. f)The magnitude of the Radius of Gyration about the centroidal z-axis (aka Polar Radius of Gyration about the centroidal origin) of the built-up member is _____in.arrow_forwardFor the given figure below, determine the moment of inertia about the centroidal axis.arrow_forwarddetermine the centroidal polar moment of inertia of a rectangle 100mm wide by 200 mm higharrow_forward
- Compute the moments of inertia with respect to the X-X and Y-Y centroidal axes for the composite shape shown belowarrow_forwardA rectangle is 3 in. by 6 in. Determine the polar moment of inertia and the radius of gyration with respect to a polar axis through one corner.arrow_forwardProve that the centroidal polar moment of inertia of a given area A cannot be smaller than A2/2π (Hint:Compare the moment of inertia of the given area with the moment of inertia of a circle that has the same area and the same centroid.)arrow_forward
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