9 1) Find the centroid of the built-up member shown.Y-W12 X 40FW14 X 48Y2) For the member shown:a) Find the centroid.b) Find the moment of inertia about the horizontal (X-X) centroidal axis.c) Find the moment of inertia about the vertical (Y-Y) centroidal axis.10"6"

Answered: Image /qna-images/answer/1b7ee490-2008-4f58-8f57-287b0d3d1955.jpg

Answered: 1) Find the centroid of the built-up…

Engineering

Mechanical Engineering

1) Find the centroid of the built-up member shown.

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 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

See similar textbooks

Related questions

Q: 2. Three bars, hinged at A and D and pinned at B and C as shown in Figure 1-60, form a four- link…

A: Given Force, F = 20 kN Angle = 45o Find Another force, P

Q: Predict the dimensionless groups relating heat transfer coefficient h to the other variables. Choose…

A: Using the given dimension formulae, calculate k/L. kL=MLθ3TL =Mθ3T ... (1) According to…

Q: Starting with the following alternative definition of C, and C,: C, = T(ƏS/ƏT)p, C, = T(@S/ƏT), show…

Q: Determine the resultant moment of the forces acting about the x, y, and z axes. Suppose that…

A: Find the resulting moments about x,y and z axis.

Q: m mg

Q: The line of action of force vector F A to point B and has a magnitude action of force vector G…

Q: Q3. A ball is thrown upward from the ground with an initial speed of 25 m/s; at the same instant,…

Q: Question 1 Pulleys A and B with the dimension of 66 mm in diameter are connected to solid shafts AB…

Q: 1.5 m Q5: Determine the axes OA of the flag pole and AB and AC, respectively, of the angles 0 and o…

A: Find the angles between the axes OA of the flag pole and AB and AC .

Q: Consider a spring–mass–damper system with m = 80 kg, c = 15 kg/s, and k = 1500 N/m with an impulse…

A: Given Spring constant, k = 1500 N/m Mass, m = 80 kg Damping coefficient,…

Q: (a) A uniform picture of mass 10 kg hangs vertically as shown in Fig.2. Each of the two wires…

A: Given data Mass of picture =10 kgLength of wire = 0.5 mCross-sectional area of wire = 1 mm2Young's…

Q: 1.What are rigid flange couplings used for? 2.What are the main uses of springs? 3.Explain what is…

Q: Consider the Gulfstream IV flying at Mach = 0.35. Calculate thrust required given an altitude of…

A: Given data Mach number = 0.35 Altitude = 30000 ft Weight = 73000 lb S = 950 ft2 AR = 5.92 CD,0 =…

Q: Problem 3 For the system to the right, why would we want to heat the hot water heater using the HVAC…

A: HVAC stands for heating, ventilation, and air conditioning, first and foremost. This system heats…

Q: Shown below is the water jet flow from a pressurized closed tank. The vertical distance between free…

A: Given data: h1=13 mh2=15 mg=9.81 m/s2γ=9.81 kN/m3 Need to determine the velocity at point 2.

Q: c. Find the homologous temperature (or the percent homologous) of Material A with a melting point of…

A: Given

Q: b y y² = x a X

A: Given a=5.29in b=2.3in

Q: Chemistry Consider FCC copper. If bond energy per atom is 5.62 × 10-19 J, and its atomic radius is…

A: Given that, Bond energy per atom, ε=5.62×10-19 J,Atomic radius, r=0.128 nm, a=22ra=22×0.128a=0.362…

Q: Numerical solution of Ordinary differential equations consider the following initial value problem…

Q: (A) Write down the equation of motion for the pendulum (B) Calculate the amplitude of the angular…

Q: Determine the degrees of subcooling at the exit of the condenser of a 2-ton air- conditioner system.…

A: 2 ton = 7.03371 kW mass flow rate of refrigerant = 0.05 kg/s required enhalpy drop = 7.03371/0.05 =…

Q: Consider a steam power plant that operates on an ideal reheat-regenerative Rankine cycle with one…

A: As per the guidelines, I can solve only three subparts. For rest parts, repost in a separate post.…

Q: a 4 m А B W2 For the beam and loading shown, if W = 40 kN/m, W2 = 20 kN/m, a = 5 m, and b=8 m. you…

A: Find the value and location of equivalent load for both W1 and W2.

Q: Q1/ A copper tube (K =385 W/m.°C ) with ( 30 mm) inner diameter and ( 5 cm) outer diameter is…

Q: No young person shall carry out work involving the management of, or attendance on, or proximity to…

A: Given Young person To find Age at which education is compulsory Age of apprenticeship

Q: Employees with diabetes and other conditions often need to inject themselves at workplace to keep…

A: The answer to your question is:- Providing the education and training to all employees.

Q: A body weighing 16 lb is suspended by a spring in a fluid whose resistance in lb.ωt. is twice the…

Q: a- When the temperature increases, the Viscosity (u) of the liquid b- Water Turbines can be…

A: As per the guidelines of company we are subjected to solve only first three parts of a question…

Q: The basic operating step of Milling Machine

Q: Daray- Weibach eghe Ap - fRV the frichom pactor of either equation : Weibach eah: Ap .2 Darcy- レ 2 D…

Q: Problem 8. A 6 kN load is applied at point A. Points B,C, and D are pin joints. The structure is…

Q: A room has to be maintained at 25 deg C at all times. Assuming the outside temperature of the room…

A: GivenT1=25oC=298KT2=-5oC=268KQ=42kW

Q: <1of 1 28 0.5R 025 n 30

A: To Find outlet flow velocity (Vout) of fluid from shower head at CLet us consider discharge (QA) of…

Q: The shaded area shown. is bounded by the line y=x m and the curve y2=1.2x m2, where x is in m.…

A: The moment of inertia for the shaded area about y-axis: Iy = 0.074057 m4.

Q: Determine the support reaction at C when an axial force of P = 435 kN is applied. The 2014-T6…

A: Find the reaction at C and D.

Q: Which of the following is not a future consequence of nuclear energy use? O Increased safety and…

A: Smaller nuclear power facilities is not a future consequence of nuclear energy use.

Q: 1. What process is flexible and is widely used for bending plates for applications such as boilers,…

Q: Two cyclists are taking a time trial on a velodrome as shown. At the instant A shown, cyclist A is…

Q: The truck travels along a circular road that has a radius of 50 m at a speed of 4 m/s. For a short…

Q: The energy balance of the compressor is: The energy balance of the turbine is: DO NOT insert extra…

Q: Calculate the change in entropy of air, if it 27°C to 2 bar throttled from 5 bar, adiabatically.

A: We must compute the change in entropy of air if it is adiabatically throttled from 5 bar, 27oC to 2…

Q: A concentric helical spring is used to support a load of 90 KN. The inner spring has a rate of 495.8…

A: Find the percent load carried by the inner spring.

Q: Given are 4 points in space: (x,y,z) units are in meters A (3,2,3) B (0,1,4) C(2,4,1)…

Q: ooking again at problem 1 how would you define the efficiency of the system? whicch components would…

A: In a particular system, efficiency is defined as the ratio of energy output to energy intake.…

Q: Vo = 0.8 m/s as it passes position A. Neglect th mass of the pulleys and cable and determine th…

A: Solution : Given data :- v0 =0.8 m/s

Q: Review v Correct Learning Goal: To understand that loads in one direction result in strains in the…

Q: A centrifugal pump is shown in the figure below. Absolute velocity, V₂ b₂ = 1.0 cm 0₂= 45% w, T…

Q: (b) An object is vibrating with simple harmonic motion (SHM), x(1) = A sinot of amplitude, A = 15 cm…

A: Given that, Simple harmonic motion,xt=A sinωtAmplitude, A=15 cm,Frequency, f=2 Hz,

Q: Figure below shows a siphon that is used to draw water from a tank. The siphon tube has an inside…

Q: Shaft a in the figure has a power input of 75 51T kW at a speed of 1000 rev/min in the…

A: Given data Input power = 75 kW Input Speed = 1000 rpm module = 5 mm Number of teeth on gear 1 = z1 =…

Question

1) Find the centroid of the built-up member shown.
Y
-W12 X 40
F
W14 X 48
Y
2) For the member shown:
a) Find the centroid.
b) Find the moment of inertia about the horizontal (X-X) centroidal axis.
c) Find the moment of inertia about the vertical (Y-Y) centroidal axis.
10"
6"

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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

A post-tensioned prestressed concrete beam is shown in figure 1. Determine the coordinates of the centroid of the beam.
A block of stone is cut so that its cross‑section is a parallelogram. The width of the bottom side is ?=0.655 m, the height of the top of the block is ℎ=0.915 m, and the top right corner overhangs a distance ?oh=0.195 m from the bottom corner as shown. Assume that the block is of uniform density, so that the center of gravity of the block is located at the geometric center.
Write the equation of the Centroid of an area?
Calculate the centroid of the composite shape AB= 85 C=1 BC = 12 only HANDWRITTEN answer needed ( NOT TYPED)
Verify the centroidal z-coordinate of the pyramid shown in Table 8.3 by integration.
Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.
Question-1 Find the centroid of the shaded area about given axis. Figure: 1a and Figure: 1b
Find the centroid of a section shown below. All dimensions are in mm. I need clear answer please
Question-1 Find the centroid of the shaded area about given axis. Figure: 1
1. Determine the centroid of the triangle CDA 2.Determine the centroid of the quarter circle OABO 3.Determinate the centroid of the semi circle GHF 4 Determine the centroid of the rectangle OBCE 5 Determinate the centroid of the total area.
a. find the area and vertical distances from the bottom edge of the cross-section to the centoid of rectangles b. Find Iz, the area moment of inertia about the z centroidal axis for the cross-section. c. Find QH, the first moment of area about the z centroidal axis for the entire area below point H. This area has width 2c2c and height tt. Also, find QK, the first moment of area about the z centroidal axis for the entire area above point K with width b and height t. d. Determine the magnitudes of the shear stress at point H and the shear stress at point K. e. Find Qmax, the maximum first moment of area about the z centroidal axis for any point in the cross section, and τmax, the maximum horizontal shear stress magnitude in the cross section.
A pentagonal prism of side of base 35 mm and length of axis 70 mm has a side of base parallel to the HP. The axis of the prism is inclined at 30° to the HP and 45° to the VP. Draw the projections of the prism.