4.32 Derive the area moment of inertia for a rectangular sec-tion with a cutout as shown in Sketch c. Ans.4.141 x 10-6 m, In = 2.202 x 10- m4.%3D-80mmmm100 m60 mm40 mmSketch c, for Problem 4.32.с,25

Find the moment of inertia about y and x axis.

4.32 Derive the area moment of inertia for a rectangular sec- tion with a cutout as shown in Sketch c. Ans. I 4.141 x 10-6 m, In = 2.202 × 10-5 m4. 80 mm 25 mm 100 m 60 mm 40 mm Sketch c, for Problem 4.32.

4.32 Derive the area moment of inertia for a rectangular sec- tion with a cutout as shown in Sketch c. Ans. I 4.141 x 10-6 m, In = 2.202 × 10-5 m4. 80 mm 25 mm 100 m 60 mm 40 mm Sketch c, for Problem 4.32.

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 9.80RP

See similar textbooks

Related questions

Q: The impeller of a radial pump with a diameter of 34.2 is shaped in such a way that its head is cut…

A: Given Data: The initial diameter of the pump, d1=34.2 Initial head, h1 Final head, h2=0.5h1

Q: A plane intersects the coordinate axes at x = 2/3, y = 1/3 and z = 1/2, what is the Miller index of…

Q: Completely solve and provide the diagram. Box the final answers. Use 4 decimals in all instances.…

A: Given DataT1=300KP1=101.325KpaT3=1150Kηm=87%ηc=92%ηT=80%ηgen=96%CV=41860kJ/kgCP=1.005kJ/kg-KR=282…

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

Q: 1. Consider a loaded mine cart weighing 3000 lb with 1500 lb of high-grade ore from an underground…

A: Given DataWT=3000+1500θ=50°r=0.05 inG=30×105psi

Q: (Single pipe with turbine) Water drains from a pressurized tank through a pipe system as shown in…

Q: 3. A vapour compression refrigeration system of 2400 K evaporator temperature of 263 K and a…

Q: Where can I apply solving matrices in thermodynamics?

A: Apply of matrices in thermodynamics

Q: IS effect on heat transfer?Explain this with the illustration that shows its effect on the thickness…

A: A groove is a long, narrow depression formed into a material for the purpose of allowing another…

Q: 2. Derive and compute the value for equivalent spring stiffness and equivalent force, F as shown…

Q: 4. The tapered shaft is made from E- 36 steel ( G = 80 GPa ), and has a radius which can be…

A: Given data Length of shaft = 4 m Shear modulus = 80 GPaRadius of tapered shaft is given by r = 0.02…

Q: It is desired to have a laminar flow for the piping svstem shown below. The fluid flowing in the…

A: Given that, Temperature of air, T=70 °C,Dia of pipe 1, d1=2 in,Dia of pipe 2, d2=3 in,Dia of pipe 3,…

Q: A three stage pump delivers 1.89 m3/s against a head of 200 m with a speed of 2000 rpm. Find the…

Q: THIN-WALLED VESSEL a. What is a thin-walled vessel b. Derivation of stress formula for thin-walled…

A: A thin-walled pressure vessel has a skin that is considerably thinner than the total size of the…

Q: The percentage humidity of air at 25°C and a total pressure of 790 mmHg is 60%. Calculate the…

Q: The emissivity of iron is approximately 0.25. If an iron cube (with a side length of 0.5 m) is…

A: This question is related to heat transfer. heat transfer is due to temperature differences. the mode…

Q: A hydraulic press exerts a total load of 5.5 MN. This load is carried by two steel rods supporting…

Q: تمرين 4.28 ارسم : 1- المسقط الامامي نصف مقطوع 2 - المسقط الجانبي نصف مقطوع 3- المسقط الافقي 50ك 30…

A: Find Draw the front projection half cut, side projection half cut and horizontal/ side view of the…

Q: air pressure above the water is . The required NPSH of the pump is 8.2 m. The suction pipe has a…

Q: a d2 d2 d3 F lb B F lb a d1 = 5.19 in %3D d2 = 0.82 in d3 = 0.5 in

Q: A shaft is required to transmit 1 MW power at 240 r.p.m. The shaft must not twist more than 1 degree…

A: Find the diameter of shaft and shear stress in the shaft.

Q: 2. A tube is made of aluminum (G = 24 GPa ) and has a rectangular cross section as shown in figure.…

Q: Determine the required thickness of member BC and the diameter of the pins at A and B if the…

A: Consider the free body diagram shown below for the member AB.

Q: For a stock material thickness of .048, the slot height "H" In a box stripper would be 0.072 0.096…

A: Ends based on hypothetical contemplations, it was laid out that strip thickness variety in the…

Q: b) For the given state of stress on the surface airplane fuselage as shown in Figure 4, determine…

A: given; stress in x -direction (σx)=-48MPastress in y -direction (σy)=19MPashear stress in xy plane…

Q: Figure 1 shows a T-beam section contains a flange of size 120 mm by 10 mm and web of size 20 mm by…

A: The area moment of inertia, also known as the second area moment or 2nd moment of area, is a feature…

Q: An aluminium alloy (density 2600 kg/ m' ) casting is to be produced A cylindrical hole of 100 mm…

A: given : ρal = 2600kg/m3 ρsand = 1600 kg/m3 d= 100mm = 0.1m l = 100mm = 0.1m

Q: 14. Calculate the Miller indices of the face having the following intercepts with three axes…

Q: parallel flow of dry air at V = 3 m/s, T, = 45°C, and atmospheric pressure = 20°C. In the first…

Q: 26. For the system shown in Figure P4.8, a step torque is applied at 01 (t). Find a. The transfer…

A: Settling time Settling time is the time required for an output to attain and stay inside a given…

Q: 2000 lb M = 4800 lb-ft В C A D 3 ft RA 6 ft 3 ft Ro 2.

A: Given DataP=2000lbMx=4800lb-ftTo find SFD and BMD **As question demanding for solving Question no 2…

Q: A 6-cm diameter shaft rotates at 3000 rpm in a 20-cm long bearing with uniform clearance of 0.2 mm.…

Q: 1- Replace the distributed loading by an equivalent resultant force, and specify its location on the…

Q: The coefficient of friction between the tires and road surface for a vehicle having a mass of 2600…

A: (a) The stopping distance: s = 27.18 m. (b) The inertia or braking force: Fb = 19.1295 kN.

Q: A Javelin is thrown at 20 m/s at an angle of 20 degrees to hit a marker on the ground. What is the…

Q: Steam is supplied to a two-stage turbine at 140 bar and 400°C. It expands isentropic ally until it…

Q: Problem 1. par shown below, determine the temperatures at Nodes 2 and 3. Assume 1-D heat transfer…

A: Given K1 =200 w/m·c K2=100 w/m°c K3 =50 w/m°c cross sectional area , A=0.1 m2 Temp at node 1, T1…

Q: A pulley has a constant angular acceleration of 3 rad per sec2. When the angular velocity is 2…

A: Given:α=3 rad/s2ω=2 rad/sa=10 ft/s2

Q: travelling hoizoniany obenier fees ma where t is in seconds. What s the magnitude and vecE of the…

Q: Problem 1. bar shown below, determine the temperatures at Nodes 2 and 3. Assume 1-D heat transfer…

A: Given : K1=200 w/m'c K2= 100 w/m'c K3=50 w/m'c cross sectional area ,A =0.1m2 Temp at node 1…

Q: Ahorizontal beam AB with cross-sectional dimensions 4 ft -5 ft Ab # 075 in.)X h#8.0 in. is supported…

Q: In the figure below, C and D represents brakes, which can be used to stop the rotation of either…

A: LAW OF GEARING According to law of gearing for angular velocity ratio of the two gears the common…

Q: 4. The tapered shaft is made from E- 36 steel ( G = 80 GPa ), and has a radius which can be…

A: Given Length, L = 4 m Torque, T = 450 Nm G = 80 GPa Find Angle of twist

Q: The impeller of a radial pump with diameter of 34.2 in trimmed such that its head is reduced by…

A: Given data Initial Diameter of Pump = D1 = 34.2 inFinal Head = Initial Head2H2 = H12We have to…

Q: A) Use the Bending Moment diagram show below to construct the shear and load diagrams. 35 20 5 ft-…

Q: A flat spiral steel spring is to give a maximum torque of 1500 N-mm for a maximum stress • Find the…

Q: 13. A mixture of water and steam is flowing up a 25 mm diameter channel at a rate of 4500 kg/s m²…

A: Answer: Two-phase or multi-phase flow appears to be an unusual issue employed only in scientific…

Q: A man is about to throw a stone by rotating his fully extended arm. If the stone moves at v = 2 due…

A: Find the angular velocity for the stone .

Q: A three stage pump delivers 2.66 m3/s against a head of 200 m with a speed of 2000 rpm. Find the…

A: Given data Discharge = 2.66 m3/s Head = 200 m Speed = 2000 rpm We have to find specific speed of…

Q: Determine the magnitude of force F in cable AB in order to produce a moment of 1250 Nm about the…

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

4.32 Derive the area moment of inertia for a rectangular sec-
tion with a cutout as shown in Sketch c. Ans.
4.141 x 10-6 m, In = 2.202 x 10- m4.
%3D
-80
mm
mm
100 m
60 mm
40 mm
Sketch c, for Problem 4.32.
с,
25

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 1 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

Compute the principal centroidal moments of inertia for the plane area.
Using integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.
The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.
Compute Ix and Iy for the region shown.
The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4, respectively. Determine y (the y-coordinate of the centroid C) and Ix (the moment of inertia about the centroidal x-axis).
Find the moment of inertia about the x-axis of a thin plate with density & = 5 bounded by the circle x +y = 1. Then use your result to find I, and ,- (Type an exact answer, using t as needed.)
6. Derive an expression for the moment of inertia of the pictured semi- circular loop-rod device about an axis through the point P, perpen- dicular to the page. The mass of the semicircular loop is 3.14 kg, and the rod is 3.0 kg. Take R = 1.0 m. [24.14 kg m²] 3R
the ratio moment of inertia of a rectangular shape to triangular shape having the same base width(b) and height(h) with respect to the baseline would be
Find the centroidal moment of inertia Ix and Iy of the Z section of Fig 1. Let a = 3⁄4 in, b= 4 in and c = 21 in
4. 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 Air
1. Find inertia tensor of a homogeneous plate of uniform thickness T, area A, and unspecified shape lying in the x-y plane as shown in figure.
1. A circular disk has a density p(r) which varies as a function of distance from the center of the disk. The disk has a radius R and a thickness t. Assuming p(r) = Po(1-r/R): Calculate the total mass of the disk. a. b. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point G. C. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point O. G R