Calculate the moments of inertia and products of inertia 6. Figure (a) shows the cross section of a column that uses a structuralshape known as W8 × 67 (wide-flange beam, nominally 8 in. deep,weighing 67 Ib/ff). The American Institute of Steel ConstructionStructural Steel Handbook lists the following cross-sectional properties:A=19.7 in?, Ix =272 in*, and ly =88.6 in“. Figure (b) shows thecross-sectional dimensions for the structural steel section known as C10x 20 (channel with a nominal depth of 10 in., weighing 20 lb/ft). TheAmerican Institute of Steel Construction Structural Steel Handbook liststhe following properties for the cross section: A=5.88 in?, Ix =78.9 in“, andly =2.81 in“. If a W8 × 67 section is joined to a C10 × 20 section to form astructural member that has the cross section shown in Figure (c)Figure(a)0.933 in.Web -9 in.C-0.575 in.Flange-8.287 in.- -0.606 in.Figure (b)10 in.- 0.379 in.Figure ( c)2.739 iny

Data given Properties of beam A = 19.7 in2 Ix = 272 in4 Iy = 88.6 in4 Properties of channel section…

Answered: Calculate the moments of inertia and…

Engineering

Civil Engineering

Calculate the moments of inertia and products of inertia

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Choose all correct statements about the work and energy (Hint: two correct ones). Modulus of…

A: Given four statements regarding the strength characteristics of materials. We have to identify the…

Q: When a rigid body is subjected to curvilinear translation, not all the particles of the body travel…

A: A body is said to be rigid only when there is no change in the relative positions of the particles…

Q: A cantilever beam model is often used to represent micro-electrical-mechanical systems (MEMS) (see…

Q: semi-arcle egulateral triangle 1.5000 1.5000 10 0000 6.0000

A: Lets assume the CG of triangle = 10 mm , as exact location is not given now , calculate the area…

Q: Determine the stiffness of the string shown below given that the natural frequency of the system is…

Q: 7 N 20° 30° 5 N

A: solution find the forces in x direction Fx=Zsin20 + 5 -7cos30 = 0.34Z -1.0621 find the forces in y…

Q: If each pulley has a mass of 5 kg, what is the mass "M" that will hold the system in equilibrium?…

Q: if Kinetic or Potential Energy is

A: To find : Whether the statement is true or false.

Q: 3. The ratio of inertia force and gravitational force is called as a) Reynolds number b) Stokes…

Q: In unstable equilibrium what is the relation

A: To find : Relation between forces.

Q: e force as a vector, point of application and line of action. Analyze coplanar ....

Q: Example : Replace the three forces acting on the bent beam by a single equivalent force R. Specify…

Q: The mass of the homogeneous slender bar is 20 kg. Determine the moment of inertia of the 20-kg bar…

A: The problem is based on calculation of mass moment of inertia.Mass moment of inertia is the ability…

Q: 2. Momentum principle states that all the forces acting in the system result in a change in…

A: Momentum principle states that all the forces acting in the system result a change in momentum. It…

Q: Find the coefficient of friction if normal force is 1000 N and friction force is 555 N

A: Introduction : The given question is related with mechanics . In this question we are provided with…

Q: Determine the x-, y-, and z-coordinates of the mass center of the body constructed of uniform…

Q: SITUATION: A SYSTEM OF PARALLEL FORCE IS ACTING ON ROD AB AS SHOWN. DETERMINE THE FOLLOWING.…

A: Let these Losds be denoted by 1, 2, and 3Resultant =RR = P1+P2+P3 = 12×500×3+500×4.5+12×1000×7.5…

Q: STATICS OF RIGID BODIES. A semicircle is laid on top of a rectangular hollow box as shown below.…

A: To find the moment of inertia about centroidal X and Y axis

Q: 6.182. Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will…

A: Given data : First force (F1)=6 NSecond force (F2)=8 NAngle between these two force (θ)=90∘

Q: "A body at rest remains at rest, or, if in motion, remains in motion at a constant velocity unless…

A: In this question statement regarding Newton law is asked

Q: coefficient on force is 555 N of friction if normal

A: Given data- Normal force (N) = 1000 N Friction force (f) = 555 N

Q: True or false: In a stationary fluid, the buoyant force is exerted equally in all directions.

A: According to Archimedes principle when a body is submerged partially , or fully an upward force…

Q: he object W1 in the figure is at an angle of 45 to the horizontal It is based on its frictionless…

Q: b 110° a 30° R = 800 N

A: A rod is pulled by force (R) = 800 N.Angle of inclination = 30° with a direction.

Q: It is simply a push or a pull or an interaction between two bodies or between a body and its…

A: central focus of your understanding at this level should be to emphasise the idea that a push or a…

Q: 100 lb 150 lb 120 lb 200 lb - 2 - - 3. AK in

A: Given data:

Q: 30 in K 12 in 8 in 4 in 30 in Determine the moment of inertia about the x axis shown in the figure…

Q: 7.) kilogram is defined as the mass that is accelerated at the rate of 1.0 ft/s^2 by a force of 1.0…

A: Answer (8) The statement is False. kilogram is the S I unit of mass. kilogram is equal to 2.205…

Q: 10. Given the figure, determine the moment of inertia about the y-axis. y-axis X-axis 3 6

Q: Determine the z-coordinate of the mass center of the homogeneous paraboloid of revolution shown…

Q: For the frame shown below, The mass of the object connected is 60-kg. what is the value of…

Q: A thin elastic wire has its both ends tied to two fixed holders and is completely immersed in a…

Q: Find the coefficient of friction if normal force is 1000 N and friction force is 555 N

Q: Determine the z-coordinate of the mass center of the homogeneous paraboloid of revolution shown.…

Q: The equation of motion of GVUF differs from the differential equation of GVF by one essential term.…

Q: The tendency of a body to keep moving once it is set in motion is called mass gravity force inertia

A: Newton's first law states that a body is said to be remains at rest or motion unless and until an…

Q: Find the moments of inertia I, I, I, for a lamina that occupies the part of the disk x + y < 36 in…

A: We will solve this question in step no. 2

Q: The shear modulus of a material is half of its Young's modulus. What is the value of its Poisson's…

A: Given, Shear modulus is half of young's modulus i.e, ==> 2G = E To calculate: Poission's Ratio…

Q: 5.) Structural members that is subjected to torque is treated as a columns. True False 6.) The…

A: As per guidelines we are supposed to solve only three parts please post other parts of separately

Q: Determine the magnitude and the position vector AC in ft.

Q: to a pointer CDP by pins at C and D. Let the coefficients of thermal expa ium and tungsten be…

A: Given:- tungsten bar AC magnesium bar BD To find:- can it be used as a thermometer

Question

Calculate the moments of inertia and products of inertia

6. Figure (a) shows the cross section of a column that uses a structural
shape known as W8 × 67 (wide-flange beam, nominally 8 in. deep,
weighing 67 Ib/ff). The American Institute of Steel Construction
Structural Steel Handbook lists the following cross-sectional properties:
A=19.7 in?, Ix =272 in*, and ly =88.6 in“. Figure (b) shows the
cross-sectional dimensions for the structural steel section known as C10
x 20 (channel with a nominal depth of 10 in., weighing 20 lb/ft). The
American Institute of Steel Construction Structural Steel Handbook lists
the following properties for the cross section: A=5.88 in?, Ix =78.9 in“, and
ly =2.81 in“. If a W8 × 67 section is joined to a C10 × 20 section to form a
structural member that has the cross section shown in Figure (c)
Figure(a)
0.933 in.
Web -
9 in.
C
-0.575 in.
Flange
-8.287 in.-

-0.606 in.
Figure (b)
10 in.
- 0.379 in.
Figure ( c)
2.739 in
y

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1 Interpretation of data

VIEW

Step 2 Calculations to obtain center of gravity of combined section

VIEW

Step 3 Calculation for moment of inertia in Y direction

VIEW

Step 4 Calculations for moment of inertial in X direction

VIEW

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Mass and mass related variables in engineering

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Show correct and step by step solutions.
The relationship between the relative density and the angle of friction
Thank you very much :)Find the resultant force in the following diagrams
Topic-solid.mechanics-
A block of mass M is hit by a horizontal water jet at a speed V. Product of the impact, the block begins to slide at speed U on a horizontal plane whose coefficient of kinetic friction is μk. Consider that the jet has an area A and its density is ρ. All the necessary data are indicated on the figure. i) After a certain time, the forces on the block balance out. Determine the velocity U∞ (terminal velocity) of the object in this condition
principle indicates that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces. O Bernoulli's O Archimedes O Pascals OSpongebob's
A steel frame is shown in the given figure. A MANUM L B L O L/2 C VITKANTIN El Constant D If joint O of the frame is rigid, the rotational stiffness of the frame at point O is given by
Subject: Statics of Rigid Bodiesshow your solution and graph too thanks
CS The magnitudes of three forces FA, FB and Fc are equal (FA=FB=Fc). The magnitude of the resultant of three forces is equal to 323 N. Calculate the magnitude of FA in Newtons. a=6 m and b=D4 m Fc a b b b
Find the moment of inertia with respect to its neutral axis
I need the answer as soon as possible
PLEASE SHOW COMPLETE SOLUTIONSNOTE: THE UNIT IN LENGTH IS METERS