Consider the following frame subjected to force P = 8 kN. If member BC is pinned connected along X axis and fixed connected along Y axis and 8 = 45°, determine the factor of safety against buckling along X axis and Y axis. Take E = 200 GPa.

Consider the following frame subjected to force P = 8 kN. If member BC is pinned connected along X axis and fixed connected along Y axis and 8 = 45°, determine the factor of safety against buckling along X axis and Y axis. Take E = 200 GPa.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.4.2P: A cantilever aluminum column has a square tube cross section with an outer dimension of 150 mm. The...

See similar textbooks

Related questions

Q: A vertical cavity wall of a house has 2.7 m height and 10 m width. The cavity space in the wall has…

Q: Steam at a pressure of 0.08 bar and a quality of 87.4% enters a shell-and-tube heat exchanger where…

Q: Hello, in the second case it was said that 80% of Ore is grinded to a particle size of below…

A: We will discuss Why 0.9 mm was chosen as the feed size in the second case.

Q: Problem 8.15 In a 100 mm diameter horizontal pipe a venturimeter of 0.5 contraction ratio has been…

A: Given:pipe diameter, d=100 mmcontraction ratio=0.5No flow pressure head=P1ρg=3 m +10.3 m=13.3…

Q: A 5lbm object is moving at a speed of 10 fps² at an elevation of 30 ft above the sea - level ground.…

A: In this problem, we will determine the weight, kinetic energy, and potential energy of the given…

Q: A steel plate having a thickness of 100 mm is suddenly exposed to a hot gas at 1000 oC in a furnace.…

A: The thickness of the plate is t=100 mm=0.1 m The exposed temperature is T∞=1000°C. The initial…

Q: As shown in the figure below, moist air at T₁ = 94°F, P₁ = 30 lbf/in2, and 1 = 35% relative humidity…

A: Given : state 1 T1 = 94o F p1 = 30 lbf/in2 ϕ1 = 35%

Q: A ball is thrown vertically into the air at 120 fps. After 3 sec, another ball is thrown vertically.…

Q: As shown in the figure below, moist air at T₁ = 94°F, 30 lb/in2, and 35% relative humidity enters a…

A: Given: To find: Dry air partial pressure Energy rate balance Dew point temperature Heat transfer…

Q: A hemispherical container, 34 inches in diameter, is filled with a liquid at 20°C and weighed. The…

Q: Determine the mass moment of inertia of the composite body about the x,y and z axes. Mass of disc =…

A: Solution: Given Data: *The mass of the disc is: M=20 kg/m2 *The mass of the rod is: m=1.8 kg/m To…

Q: Determine the forces in members BC, BE, and BF. The triangles are isosceles. The forces are positive…

Q: Determine the forces in members CH, AH, and CD of the loaded truss. Forces are positive if in…

Q: Two identical conducting small spheres are placed with their centers 0.200 m apart. One is given a…

A: The forces between two charges is calculated using the Coulomb formula .

Q: 3. Determine the force in each member of the loaded truss. Indicate if it is tension or compression.…

Q: Dwarf Fortress. A group of dwarves made an outpost far from their homeland, "Moria, Middle-Earth".…

A: The underground tavern is 50 m below the river and the tavern is 10 m above the cistern i.e the…

Q: C; Draw the temperature distribution long the insulated tip fin.

A: Finsfins are surfaces that extend from an object or surface to enhancethe rate of heat transfer from…

Q: Current Attempt in Progress Determine the magnitude P of the vertical force required to lift the…

A: Givenw=278 lb

Q: Determine the oscillation amplitude and frequency of the mass in the figure below for t₁ st st₂.…

A: Given: Mass→m=0.5 Kg The spring constant→k=50 N/m Damping coefficient→C=1 N.s/m From the figure, the…

Q: (a) Deduce clausius inequality and interpret it.

A: “Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: Determine the maximum downward force Pmax that can be applied to wedge A that wil keep the assembly…

A: Given: The weight of block C, W = 192 N

Q: Determine the force in each member of the loaded truss. The forces are positive if in tension,…

A: Given: F = 2460 N Required- force in BC and CD

Q: Evaluate the mass of the Mo block shown in Figure 3 when the 100 kg block is almost situation called…

A: Mass of block m= 100 Kg Coefficient of static friction μs= 0.3 Angle of inclination θ= 200 To find…

Q: at angles of 45", 75 and 135" from Waand distances between plaries are: la mm, la 1500 mm, ma 1800…

A: The distance between Planes L and M, d=ld-mdd=1500-875=825 mm Draw the table of calculation of…

Q: A free body diagram must be inlcuded as part of the problem solution to receive full credit.…

Q: Link BD consists of a single bar 1 in. wide and in. thick. Each pin has a -in. diameter and P= 7…

A: GivenFor bar BDw=1int=12indp=38inP=7kipsWhenθ=90o

Q: 21. Which of the following statements is false when describing the exergy associated with an…

A: Introduction In thermodynamics, we have three systems namely open system, closed system, and…

Q: Water flows in a channel with uniform curvature R. The channel has height h=ℎ=4mm and width w=200mm…

A: GivenF=-1850 N since -y directionV=48 m/sh=4mmw=200mml=115mm

Q: A metal furnace with a 1.25 m x 0.75 m metal door is placed in a room and set to 400K. A 0.3 m x 0.3…

A: Given: Temperature of the furnace→T1=400 K size of the metal door→A1=1.25×0.75=0.93 m2 Size of the…

Q: achine member is subjected to fluctuating stress , sigma = sigma_{0} * cos(8pi*t) The endurance…

A: Given:Fluctuating stress equation,σ=σo cos8πtendurance limit=350 MPAFOS=3.5

Q: Q22: Determine the moments of the 450 N force shown in fig about points A and B 200 mm 400 mm 32°…

Q: The cross section of a bar made of cartridge brass is a hexagon. Find dimension a if the allowable…

Q: End B of slender rod AB hits block C and causes the latter to move by a distance of 400 mm before…

A: The mass of the rod is m=1.5 kg The mass of the block is m'=0.5 kg The length of the rod is L=1.2 m…

Q: 15.The force in member CH (Fen) is a) Zero d) 12.50 KN, Compression b) 7.81 KN, Tension e) 12.50 KN,…

Q: (A): Derive the system of differential equations describing the straight-line vertical motion of the…

A: In This question given data is K1=1 , K2=1, K2=1 also m1=1 m2=1 also the Initial Conditions are…

Q: The uniform beam has a mass of 41 kg per meter of length. Determine the reactions at the supports.…

A: Given: a beam with length = (2.8+1)m = 3.8m mass = 41 kg/s subjected to a mass = 340 kg To find:…

Q: 2. The piston is initially just touching the linear spring, and water is a compressed liquid. The…

Q: Compute the total specific mechanical energy E of a satellite in a hyperbolic orbit with semimajor…

A: Solution: Given Data: *The semimajor axis of the hyperbolic orbit is: a=13500 km *The pericenter…

Q: (A simple pendulum). Consider the dynamics of the pendulum depicted below, where u denotes an input…

A: Given: Mass of the rod is M And half length of the rod is L So the total length of the rod is 2L We…

Q: Exhaust gases from a manufacturing plant are being discharged through a 10-m tall exhaust stack with…

Q: A vapor at a flow rate of 3 kg/s enters a group of eight (8) nozzles at 1.5 MPa, 240 oC and a…

Q: In, P=300 lb and P700 lb. Determine the horizontal and vertical components of reaction at pin C.…

A: In this problem, we will use the taking moment about a point to compute the reaction force at pin C,…

Q: Consider a solid bar of length L with variable cross-sectional area given by A(x) , where x ∈ [0, L]…

A: Given: Length = L Cross sectional area = A(x) To find: derive a heat equation for the bar in terms…

Q: Q5- Air flows isentropically in a converging-diverging nozzle, with an exit area of 0.001 m². The…

Q: The free-body diagram of joint A is drawn with the members assumed to be in tension. Answers: AB=…

Q: Q2. Figure Q2 shows a rotational mechanical system. Given J = 2 kg/m², J₁ = 4 kg/m², K=5 N-m/rad,…

A: The values are J=2 kgm2, J1=4 kgm2, K=5 N-m/rad, D=5 N-m-s/rad.

Q: Calculate the moment of inertia of the shaded area about the x-axis. Assume a - 35 mm, r - 25 mm.…

Q: Two metallic rods are connect in parallel to heat reservoirs held at T1 and T2, respectively. One…

Q: The pump station requires to lift the water requirement of the municipality. The total dynamic head…

A: Find , Power required in kW.

Q: Q2: 0.2 m diameter, 4 mm thick, k-120 W/m.ºC disc is welded to 10 cm diameter hot bar at 120 °C…

A: Given data Thickness =4mm Thermal conductivity =12w/m^2c Diameter of disc=0.2m We have to determine…

Concept explainers

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

FBC (axial force in member BC) =
Porx (the critical load along X axis) =
Pory (the critical load along Y axis) =
FS-X (Factor of safety X axis) =

n
Consider the following frame subjected to force P = 8 kN. If member BC is pinned connected along X axis and fixed connected along Y
axis and 8 = 45°, determine the factor of safety against buckling along X axis and Y axis.
Take E = 200 GPa.
L
X
1 m
0
2
3 cm
B
2 cm
1 m
2 cm
3 cm
X

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 2 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

When we determine the allowable load on a column without buckling, we are required to use the practical value of the column end fixity constant, K. a) True b) False
Construct the buckling curve, P/A versus L/r, for a column that has a bilinear stress–strain curve in compression as shown.
Determine the maximum load P that can be applied to the structure without buckling failure.Bar AB has a square section of 8 mm on each side and bar BC has a circular section, with a radius of 6 mm. Both bars are made of steel, with a modulus of elasticity E = 200 GPa.The dimensions of the drawing are given in millimeters.
Determine if the frame can support a load of P = 20 kN if the factor of safety with respect to buckling of member AB is F.S. = 3. Assume that AB is made of steel and is pinned at its ends for x–x axis buckling and fixed at its ends for y–y axis buckling. Est = 200 GPa, sY = 360 MPa.
Determine the maximum allowable load P that can be applied to member BC without causing member AB to buckle. Assume that AB is made of steel and is pinned at its ends for x–x axis buckling and fixed at its ends for y–y axisbuckling. Use a factor of safety with respect to buckling of F.S. = 3. Est = 200 GPa, sY = 360 MPa.
Before the load is placed on the rigid plate, the top of the central spring is 20 mm lower than the outer springs. Each outer spring is made of 24 turns of 15-mm diameter wire on a mean radius of 60 mm. The central spring consists of 16 turns of 20 mm dimeter wire on a mean radius of 80 mm. If a load P = 5 kN is now placed on the rigid plate. Disregarding the weight of the plate, use G = 83 GPa and use Light spring formula. Determine the maximum shearing stress of the in uter spring. In MPa
The column shown below, made from medium carbon steel AISI 1040 (E = 207 GPa and Sy = 290 MPa), has an outer diameter of 50 mm and a wall thickness of 5 mm. If the pipe is held in place by a guy wire, determine the largest horizontal force P that can be applied without causing the pipe to buckle. Use the following correlations if needed,
Assume that the wood column is pinned top and bottom for movement about the x-y axis, and ixed at the bottom and free at the top for movement about the y-y axis. Determine the maximum eccentric load P that canbe applied without causing the column to buckle or yield. Ew = 1.8(103) ksi, sY = 8 ksi.
PROBLEM 1: Determine the tension in each cable and the components offorce reaction at D needed to support the load. Required: 1. Find Dx (Answer: 1039.230 N), Dy (Answer: 0 N) and Dz (Answer: 0 N) 2. Find Tension AB (Answer: 467.667 N) and Tension (Answer: AC 673.808)
A 20-ft-long column is made of aluminum alloy 2014-T6. If it is pinned at its top and bottom, and a compressive load P is applied at point A, determine the maximum allowable magnitude of P using the equations of Sec. 13.6 and the interaction formula with (sb)allow = 20 ksi.
Member AB consists of a single C130 x 10.4 steel channel of length 2.5 m. Knowing that the pins at A and B pass through the centroid of the cross section of the channel, determine the factor of safety for the load shown with respect to buckling in the plane of the figure when θ= 30°. Use Euler’s formula with E= 200 GPa.
A 100-mm-long rod has a diameter of 15 mm. If an axial tensile load of 10 kN is applied to it, determine the change in its diameter. E = 70 GPa, n = 0.35.