A round column 1.5 m long is pinned on both ends carry a maximum compression load of 88 K (critical load under buckling). Design the diameter of the column. The column made of steel with yield strength = 500 MPa and E = 207,000 MPa.

A round column 1.5 m long is pinned on both ends carry a maximum compression load of 88 K (critical load under buckling). Design the diameter of the column. The column made of steel with yield strength = 500 MPa and E = 207,000 MPa.

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 11.4.1P: A fixed-end column with circular cross section is acted on by compressive axial load P. The...

See similar textbooks

Related questions

Q: b) A uniform beam AB is hinged at A and suspended by a string at B as shown in Figure Q1 (b). The…

A: A uniform beam of 80 kg which is supported by a string at B making an angle 60o with the vertical…

Q: The 15-kg bar is released from rest while in the position shown and its end rollers travel in the…

Q: 4/60 The pyramidal truss section BCDEF is symmetric about the vertical x-z plane as shown. Cables…

A: Draw the free body diagram of joint A.

Q: s it always better to have the most cutting-edge technology available?

A: To find about: Cutting-edge technology

Q: The cantilevered handle in the figure is made from mild steel that has been welded at the joints.…

A: Given: To find: Vertical deflection at the tip

Q: The tension in cable BC is 118 N. Determine its moment in Nm about point O when xc-1.3 m, zc-14m.…

Q: Question 4: An insulated room is heated by burning candles. Is this a heat or work interaction? Take…

A: According to Bartleby guidelines we can solve only one questions at a time. You are requested to…

Q: Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid…

A: Given data:- P1= 65 kN P2=40 kN ds = 40 mm db = 30 mm Es = 200 GPa Eb=105 GPa To find:- The…

Q: QUESTION 1 Fig. 1. shows a system of forces F₁, F2 and F3 in 3D acting on an idealized particle. b)…

Q: All of the following are metal strengthening techniques except: O a mechanical working O b.…

A: To choose: The correct option. Concept used: Metal strengthening techniques: A metal strengthening…

Q: At a given instant the slider block B shown in (Figure 1) is moving to the right with the speed up =…

Q: Question No.16: a.) Describe the working principle of fluid fly wheel with the help of a sketch. b.)…

A: Flywheel:- It is one of the essential components of automobiles. It is a mechanical apparatus…

Q: A four cylinder 3 L (maximum volume per cylinder) diesel engine that operates on an ideal Diesel…

A: The compression ratio of the diesel cycle is rk=18. The cut-off ratio is rc=3. The number of…

Q: I'm sorry, but I am unable to see all of your work

Q: what is this material made of

A: An object's density is calculated by dividing its mass by volume. The object's density, which is a…

Q: P.2: For the system shown, what steady-state error can be expected for the following test inputs:…

A: By moving 1s to the left of the summer and multiplying the 4s block by 1s which gives 4. Which…

Q: You have stated that the convective area is πr^2. Please explain this. πr^2 is the area for a…

A: You get wrong answer because here do not consider the sign convention for heat transfer to sphere…

Q: A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid…

A: This question is based on the concept of Torsion

Q: A column is fabricated by adhesively bonding two aluminum faceplates to a foam plastic core as shown…

Q: Problem 6. Fox Fork Fabrication Fox Factory Inc. is testing a new fork design. A step force of F=…

Q: 1. Find the density of an oil filled in the liquid column as shown in figure. Given that absolute…

A: Given data:- Absolute pressure at the bottom=525 kPaatmosphere pressure =1.0132 bar. X=4m; Y = 4 m,…

Q: 17-103 Air enters a rectangular duct at T₁ = 300 K, P₁ = 420 kPa, and Ma, = 2. Heat is transferred…

A: To find: The temperature and the Mach number at the duct exit. Given: The static temperature at the…

Q: For an interval of its motion the piston rod of the hydraulic cylinder has a velocity VA = 2.7…

A: The given information in the problem is shown in the following attached image:

Q: Temperature rise in an electrical wire. (a) A copper wire, 5 mm in diameter and 15 ft long, has a…

A: (a) Write the given data. d=5 mm=0.005 mL=15 ft=150.3048 m1 ft=4.572 mT∞=25 °CV=0.6 voltsh=5.7…

Q: Design a digital lag compensator for the position control system below to meet the following…

A: To determine: Design a digital lag compensator.

Q: Most commodity thermoplastics are derived from the ethylene polymer family. O True False

A: To check: The given statement.

Q: Question: Water at 40 °C (?=992.3???3 ??? ?=0.664×10−6 ?2/?) flows at velocity of 2 m/s through a…

A: We need to calculate the Reynolds number to identify the type of flow inside the pipe. Given data:…

Q: The muffler is engineered as an acoustic soundproofing device designed to reduce the loudness of the…

Q: Solution provided is incorrect. Correct answer is 35.4kW. Please redo

A: Mass of elevetor m = 500 kg ac = 2 m/s2 t = 3 sec To find out:- The power output of motor

Q: Problem 1: Given the 2D states of plane stress below, determine the principal stresses (0₁, 0₂) and…

Q: 2. Find what direct tensile stress load if suddenly applied on a bar 40mm diameter and 3m long would…

Q: Question No.13: a.) Explain the working principle of fluid flywheel with neat sketch and mention the…

A: a) Fluid Flywheel: A fluid flywheel is an automatic transmission device that uses a fluid coupling…

Q: which type of furnace is used for installation in a crawl space?

A: To explain: The type of furnace is used for installation in a crawl space. Concept used: Crawl…

Q: Determine the maximum locked-rotor current for a Code F, 120-volt, single- phase, 3-H P motor.

A: To find: The maximum locked-rotor current for a Code F, 120-volt, single- phase, 3-H P motor.

Q: Specific internal energy in the compressed liquid region is estimated based on the saturated liquid…

A: ▪︎In general, the specific internal energy is the function of pressure and temperature. u = f ( T ,…

Q: Heat Transfer T3 T4 Ts T6 T7 T8 T9 99.3 92.6 83.0 75.0 66.3 60.3 50.3 42.5 35.9 Wattmeter T₁ T₂ Q(W)…

A: To Draw : 1) The temperature with distance. 2) Calculate the value of k from the relation, Given:…

Q: Replace the force system acting on the pipe assembly by a resultant force FR and couple moment MR,…

A: The forces are F1=-25i⇀-15j⇀+25k⇀ lbF2=(-15i⇀+25j⇀+15k⇀) lb

Q: A condenser is used to convert a gas into a liquid. The energy equation for a condenser is: Qcv =…

A: According to Steady flow energy Equation (SFEE) Q̇ + KE₁ + PE₁ + ṁh₁ = Ẇ + KE₂ + PE₂ + ṁh₂ Q̇ +…

Q: 2. Consider laminar flat plate flow with the following approximate velocity profile:…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: All of the following are repeating unit cells for crystalline structures except a. corner centered…

A: In the above question, we have to find which of the given cubic crystalline structures is not…

Q: Examine the way manual welding is performed and challenge it's purpose place sequence and method of…

A: Manual welding is a welding process that involves the use of a welder to join two pieces of metal…

Q: An insulated room is heated by burning candles. Is this a heat or work interaction? Take the entire…

A: “Since you have posted a multiple question, we will provide the solution only to the first question…

Q: This is part two of a two-part problem. Water at 2.0 kg/s enters the boiler at 40°C and 2000 kPa and…

A: Given:Mass flow rate of water, m˙=2.0 kg/sWater temperature and pressure at boiler inlet, T1=40oC,…

Q: A particle moving along a straight line is subjected to a deceleration a=-4v m/s2, where v is in…

Q: A 0.3-m³ rigid tank is filled with saturated liquid water at 370°C. A valve at the bottom of the…

Q: P solid, see Fig below. The outer diameter of the hollow and solid sections is 6 cm and the inner A…

A: Given: The outer diameter of the solid and hollow section: →Do=6 Cm=0.06 m The inner diameter of the…

Q: 10. Two forces are applied to a tree stump to pull it out of the ground. Force FA has a magnitude of…

Q: 23 m³/hr of air at 600 kPa, 330 K enters a well-insulated, horizontal pipe having a diameter of 1.2…

A: GIvenV˙1=23 m3/hr=233600 m3/s=6.3888×10-3 m3/sP1=600kPaT1=330 Kd=1.2cm =0.012mP2=120kPac=1.007…

Q: Detc. mine the torque in newton-meter (Nm) and pound-foot (lb-ft) of a motor whose rated power and…

Q: Air exits a turbine at 160 kPa and 150°C with a volumetric flow rate of 8000 liters/s. Modeling air…

A: GivenP=160kPaT=150oC=150+273=423KV˙=8000 ltr/s=8000×10-3=8 m3/s

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

Please help me with this mechanical engineering problem. Thank you.

A round column 1.5 m long is pinned on both ends carry a maximum compression load of 88 K (critical
load under buckling). Design the diameter of the column. The column made of steel with yield strength =
500 MPa and E = 207,000 MPa.

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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

VIEW

Step 2

VIEW

Step 3

VIEW

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

An idealized column is made up of rigid bars ABC and CD that are joined by a rotational elastic connection at C with stiffness ßR. The column has a roller support at B and a pin support at D. Find an expression for the critical load Pcr of the column.
A steel column ( E = 30 X 103 ksi) that is fixed at the base and free at the top is constructed of a W8 x 35 wide-flange member (sec figure). The column is 9.0 ft long. The force P acting at the top of the column has an eccentricity e = 1.25 in. If P = 40 kips, what is the maximum compressive stress in the column? If the yield stress is 36 ksi and the required factor of safety with respect to yielding is 2.1, what is the allowable load Pallow?
Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?
Select a steel wide-flange column of a nominal depth of 250 mm (W 250 shape) to support an axial load P = 800 kN (see figure). The column has pinned ends and length L = 4.25 m. Assume E = 200 GPa and y = 250 MPa. Note: The selection of columns is limited to those listed in Table F-l(b), Appendix F.
Solve the preceding problem for an aluminum column with b = 6,0 in., t = 0.5 in., P = 10 kips, and E = 10.6 × 106 ksi. The defied ion at the top is limited to 2.0 in.
An aluminum pipe column (E = 10,400 ksi) with a length L = 10.0 ft has inside and outside diameters d1= 5.0 in. and d2= 6.0 in., respectively (sec figure). The column is supported only at the ends and may buckle in any direction. Calculate the critical load Pcrfor the following end conditions: (a) pinned-pinned, (b) fixed-free, (c) fixed-pinned, and (d) fixed-fixed.
An idealized column is made up of rigid segments ABC and CD that are joined by an elastic connection at C with rotational stiffness ßR= 100 kip-in./rad. The column has a roller support at B and a sliding support at D. Calculate the critical load Pcrof the column.
The figure shows an idealized structure consisting of two rigid bars joined by an elastic connection with rotational stiffness ßR. Determine the critical load PCTfor the structure.
A 900 N axial load (y direction) is applied to the column having 2 m length. The column is made of steel and support details are given below. • Specify the buckling plane (does column buckle in x-y or y-z plane)? • Which dimension of the column should be increased to support the applied load? Determine the amount of improvement/increase? Esteel=200GPA (Hint : Be careful about the support conditions (effective lengths) for different planes) 15mm 15mm front view top view Jide view
The assembly consists of two red brass C83400 copper rods AB and CD of diameter 30 mm, a stainless 304 steel alloy rod EF of diameter 40 mm, and a rigid cap G. The supports at A, C and Fare rigid. Modul of elasticy for the copper is Ecopper = 101 GPa. Modul of elasticity for the steel is Esteel = 193 GPa. (Figure 1) Figure Part A OAB = Submit Part B OCD = Submit Part C Value μÅ Request Answer Determine the average normal stress developed in the rod AB. Express your answer to three significant figures and include the appropriate units. TEF Value μA Request Answer Submit Units 19 Units FA Determine the average normal stress developed in the rod CD. Express your answer to three significant figures and include the appropriate units. O μА -300 mm- Value 30 mm 30 mm Request Answer ? B G ? E 450 mm 40 kN Determine the average normal stress developed in the rod EF. Express your answer to three significant figures and include the appropriate units. 40 kN 40 mm Units MELL < 1 of 1 ?
A hallow cylindrical steel column with an outer diameter of 200 mm and an inner diameter of 180 mm is subjected to a compressive load of 200 kN. The yield strength of the steel is 250 MPa. Calculate the factor of safety for the column using the maximum normal stress theory.
Clear my choice Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E= 200 Gpa and a Poisson's ratio of 0.3. If a tensile force Fis subjected to that rod cross-section, the diameter becomes 3.995 mm. determine the applied force F. Select one: O F= 5236 N OF=15708N O F= 13090 N OF=10472 N OF=4189 N O F=6283 N Clear my choice Finish attempt NEXT ACTIVITY MENG360 Test -Spring 2020-2021 Jup to