For the composite area shown below, determine the moment of inertia about the horizontal centroidal axis. 40 160 80 -60- 60 180 Dimensions in mm O Ix = 61.4 x 10 mm4. O Ix = 26.9 x 106 mm4. O Ix = 40.3 x 10 mm4. O Ix = 56.3 x 10 mm4. %3D

For the composite area shown below, determine the moment of inertia about the horizontal centroidal axis. 40 160 80 -60- 60 180 Dimensions in mm O Ix = 61.4 x 10 mm4. O Ix = 26.9 x 106 mm4. O Ix = 40.3 x 10 mm4. O Ix = 56.3 x 10 mm4. %3D

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.8P: Using integration, compute the polar moment of inertia about point O for the circular sector. Check...

See similar textbooks

Related questions

Q: Determine the following: • Centroid of the shaded(Blue) portion • Polar Moment of Inertia at A 130…

A: The centroid is the center of the unshaped body which made from a shaped body. It is the point at…

Q: Determine the moment of inertia about the AB and CD axis. Fig (3) 19=400X 200 m 2. Som T00m S0m A…

A: As per given question determine the moment of inertia about AB and CD

Q: 3 in. + 3 in. + 3 in. 2 in. -3 in.3 in.- 6 in. X

Q: Calculate the moment of inertia of the shaded area about the x-axis. 90 mm -50 mm mm -50 mm 4 IM" IN…

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. - 100 mm…

A: following is the solution to the above problem -

Q: Consider the lamina depicted below where the dimensions are given in mm. Determine the value of the…

Q: Determine the moment of inertia for the shaded area shown about the x axis. y = 400x (100 – x)- 200…

Q: Determine the principle moments of inertia and the orientation of the principle axes for the section…

Q: Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -135 mm- 15…

A: To calculate the moment of inertia about x0 and yo of the diagram, we need to fix the origin I.e. at…

Q: For the given area, the moment of inertia about axis 1 is 200 cm. WWhat is the Mol about axis 3 (the…

Q: Determine the moments of inertia of the Z-section about its centroidal x,- and yo-axes. -100 mm 20…

Q: For the composite area shown below, determine the moment of inertia about the horizontal centroidal…

A: Let us divide given shape in to 3 rectangular sections: Here, x1 = Axis parallel to x axis and…

Q: By direct integration, determine the moments of inertia of the triangular area about the x-and…

Q: Calculate the moment of inertia (Ix) relative to the X-axis passing through the base of the profile…

Q: の120- 18Xの10- PCDの70 60° Al la PCD Ø40- -の20 -PCDの100

A: In the given object we have total 19 holes are there and they are located as, 1 hole is at the…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 72 mm 23 mm -36 mm -36 mm…

Q: Locate the centroid (x,y) of the coposite area; then find the moment of inertia of the…

Q: A tee section is made up of a 30 mm *150 mm flange and a 30 mm * 160 mm web. 6. Which of the…

A: given T section as shown below

Q: For the area shown below, determine the moment of inertia of the composite section about the x-axis…

A: The inertia of shaded portion can be determined by determining the individual Inertial. Following…

Q: 2 9 = 40 2 00 m T00m

Q: The center of Mohr's Circle lies at (218, 0) in“ and the moment of inertia about the minor principal…

Q: Locate the centroid of the composite cross-sectional area shown in the figure below. Also, determine…

A: We will convert into three components as shown below :

Q: Determine the orientation of the principal axes of inertia through the centroid of the shaded area…

A: Formula for centroid of cut section is given below, y=a1y1+a2y2a1 +a2…

Q: Calculate the moment of inertia of the shaded area about the x-axi 73 mm 22 mm ーギー - 35 mm 35 mm…

Q: Determine the Moment of Inertia about the X axis, Moment of Inertia about the Y axis and the Product…

A: Concept: The product of inertia can be determined by the following equation. Here, Ix'y' is the…

Q: Determine the moment of inertia of the shaded area about the x-axis. 16" T-9² 7-9"-4 Answer: Ix=1…

Q: The rectangular area shown in part a of the figure is split into three equal areas which are then…

Q: 3. Determine the moment of inertia with respected to x- (horizontal) and y- (vertical) axis through…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 6.2" 3.2" y = kx? %3D 6.6"…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 90 mm 30 mm – 45 mm →-45 mm…

A: To find out the moment of inertia of the given shaded region Given figure

Q: Determine the polar moment of inertia of the area shown with respect to (a) point O, (b) the…

A: Separate the given section into two sections.

Q: Calculate the moment of inertia of the shaded area about the x-axis. 86 mm 86 mm 61 mm Answer: Ix -…

A: For the shaded area: a = 86 mm r = 61 mm It is required to determine the moment of inertia of the…

Q: Determine the polar moment of inertia of the area shown in figure with respect to (a) Point 0, (b)…

A: from the above figure the moment of inertia The moment of inertia, otherwise known as the mass…

Q: Determine the moments of inertia Ix and Iy of the area shown with respect to centroidal axes…

A: Given T Section To find Moment of itertia with respect to X axis and Y axis

Q: Find the moment of inertia of the follow ing section about the centroidal X axis(Fig(2)). s0mm 20mm…

A: To find the moment of inertia about centrodial X-axis.

Q: Calculate the moment of inertia of the shaded area about the x-axis. 82 mm 31 mm 47 mm →→ 47 mm…

Q: 2. ent 1 Page 1 of 2 2. Determine the moment of inertia of the above section (Fig. 2) about the…

Q: Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where…

A: b1 = 110 mm d1 = 35 mm b2 = 62 mm d2 = 108 mm

Q: Calculate for the moment of inertia about the horizontal centroidal axis for the region shown below:…

Q: Question: For the figure shown below: 1- Locate the centroid C (x.y) of the shaded area 2- Determine…

A: Moment of inertia of an area is defined as the product of area and the distances of its center from…

Q: For the composite area shown below, determine the moment of inertia about the horizontal centroidal…

A: Data given- I section Base = 180 mm Height = 160 mm

Q: From the given cross-sectional area of the beam. 1. Determine the location of the center of…

Q: Find the moment of inertia about the centroid X-X and Y-Y axes of the angle section shown in + 30 mm…

A: Area of section 1, A1=120(30)=3600 mm2. Area of section 2, A2=70(30)=2100 mm2.…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 79 mm Answer: I = 26 mm * 45 mm…

Q: y +75 -150- 20호 200 20 20 eA 150- 100 Fig. 1

Q: Determine the moment of inertia of the composite area about the y axis. Set a = 160 mm, b = 160 mm,…

Q: Find the moments of inertia of the shaded shape about the given centroidal x-axis (Ix) and…

A: Given Data: ◆ Dimensions of the rectangle: b = 4 inch , h = 5 inch ◆ Side of the square: a = 2 inch…

Q: y -75 150 20 200 20 20 150 100 Fig. 1

Q: Find the moment of inertia (lyy) of the given lamina about Y-Y axis passing through its centroid,…

A: Suppose, there is a rectangle of width b and height h. Then, moment of inertia about x-axis,…

Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

For the composite area shown below, determine the moment of inertia about the
horizontal centroidal axis.
40
160
80
-60-
60-
180
Dimensions in mm
O Ix' = 61.4 x 10 mm4.
O Ix' = 26.9 x 10° mm“.
O Ix' = 40.3 x 106 mm".
O Ix' = 56.3 x 106 mm4.
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

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

Using integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.
Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin ring (tR) by integration.
Find the Moment of Inertia of the plate as shown in figure, passing through its centroid with reference to Y -Y axis. Where b1 = 55 mm, d1=110 mm, b2=160 mm, d2=30 mm, b3=65mm, d3=24mm. The value of is (unit in mm) = ______________ Answer for part 1 The value of is (unit in mm) = ______________ Answer for part 2 The value of total for the given plate is (unit in mm4) =________________ Answer for part 3
Determine the moments of inertia and the product of inertia of the L3 x 2 x 1/4-14 angle cross section of Prob. 9.74 with respect to new centroidal axes obtained by rotating the x and y axes 30° clockwise.(Reference to Problem 9.75):Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes.
Find the moment of inertia of a triangular section having 50 mm base and 60 mm height about an axis through its centre of gravity and base. Answer :IG = 300 x 103 mm4; IBase = 900 x 103 mm4
The shaded area has the following properties: Ix=1.26x10^6 mm^4, Iy=6.55x10^5 mm^4, Pxy=-1.02x10^5 mm^4 Determine the moment of inertia about the x' axis if theta =30 degrees and the moments of inertia about the y' axis if theta=30 degrees
Determine the moment of inertia for the shaded area about the x-axis. Express your answer to three significant figures and include the appropriate units. Look at the images for the needed figure and details to answer the question. y_1=x m y_2=2.1x m^2
Find the moment of inertia of the given lamina about X-X axis passing through its centroid, where b1=110 mm, d1=35 mm, b2= 62 mm & d2=108mm. (i) The X with bar on top value is (unit is in mm) = ______________ (i) The Y with bar on top value is (unit is in mm) = ______________ (iii) the Ixx1 value is (unit is in mm4)= ______________ (iv) the Ixx2 value is (unit is in mm4)= ______________ (v) The Ixx value is (unit is in mm4)=
A 100×100 paper was punched from its left lower corner. A 25×25 square hole was created there. The 25×25 scrap was subsequently glued onto right upper corner of the paper. By neglecting the thickness of the paper,a) Determine the centroid of this composite area,b) Calculate the moments of inertia Ix, Iy and product of inertia, Ixy.c) Determine the principal moments of inertia and the orientation of the principal axes.(a=3 b=1)
420 Q2) As shown in Figure 1, choose the nearest answer letter a, b, cor d. Determine the moments of inertia for the cross-sectional area of the member shown in the Figure about * ?the y centroidal axes
By direct integration, determine the moments of inertia of the triangular area about the x- and x'-axes. 2689 in4, 2375.33 in4 6289 in4, 3257.33 in4 8962 in4, 3257.33 in4 9826 in4, 3275.33 in4
Find the centroid x bar of the shaded area and the moment of inertia along x or y axis Please make the answer clear and detailed,thank you