answer part (c) explicitly The vertical rectangular cross section column shown in Fig. Ql-B is pinned at both ends.Assuming the young's modulus E for the column material is 200 GPa, ơy = 250 MPa, L=4 m,a = 30 mm, and b = 50 mm:1) Find the maximum compressive load P that can be applied to the column withoutfailure2) Determine the allowable load.3) Do you think this column will yield before it buckled? (Take FS = 2.5) PL/2b.aL/2Figure Ql-B: Rectangular Cross Section Column4) What is the difference in the results of 1, 2, and 3 above if the column length is (L =6 m)? Discuss the difference.C) Discuss the main factors influencing on Buckling behavior

A moment of inertness quantitative measure of a body's rotational inertia is the body's resistance…

Answered: C) Discuss the main factors influencing…

Engineering

Mechanical Engineering

C) Discuss the main factors influencing on Buckling behavior

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.10.3P: A flat bar of width b and thickness t has a hole of diameter d drilled through it (see figure). The...

See similar textbooks

Related questions

Q: B. If a steel bolt is tested in single shear and fails at a load of 25 kips, at what load would we…

A: single shear force, F=25 kips

Q: I have plotted Force vs Stress graph. I want to know: 1- What does the slope represent and what…

A: Here we have Stress on y axis and Force on x axis. We need to draw one trendline (Line of best fit)…

Q: A rod has been axially loaded. The axial deflection of the rod is measured to be 0.8 mm. A reduction…

A: Given data : Initial diameter=d Change in diameter=δY Axial length of rod=L Change in length of…

Q: Define and describe general buckling. Enumerate and differentiate the different types of general…

Q: Define the term buckling?

A: Consider the change in the shape of a loaded structural component that occurs suddenly like the…

Q: What are factors that might account for deviations of experimental buckling loads from expected…

A: Buckling could be a sudden lateral disappointment of an axially stacked part in compression,…

Q: is recreating rolling The large stone columns by animal power and pivot points cut into the center…

A: (a) Draw a free-body diagram of stone column.

Q: Q1:A/ If the temperature increases; how would it be effect on ? (Specify your answer with :…

A: Introduction: Temperature Influences The operating temperature has a significant impact on the…

Q: Draw Diagram for Deformation of a Circular Bar in Pure Torsion?

A: Twisting of the bar is observed when a torsional load is applied over the bar. An angular…

Q: Circle all correct statements. Plastic deformation a. Is permanent. b. Is recoverable. c. Can be…

A: Dear student, we are suppose to solve only one question. Please post other question as a separate…

Q: 1) If we apply a compressive load to perfectly straight steel rod that is circular in cross section…

A: We do not have an idea on which direction circular rod will buckle. Description: The buckling…

Q: Discuss the deflection caused by shear stress?

A: The deviation of longitudinal axis of a structural member under the action of transverse shear loads…

Q: that can be applied to a strut or column is limited not only by the stress in compression which is…

Q: IDENTIFY THE ENGINEERING TERM: 9. A forces that developed within the body of a member due to…

A: Consider a prismatic bar subjected to axial loading at its cross-section. That load has the tendency…

Q: Question 5 Answer the following questions concisely (no more than half a page per question): a What…

A: Since you have posted a question with multiple subparts, we will solve first three sub parts for…

Q: Discuss the effects of applying a torsional loading to a long straight member?

A: Torsional Loading causes the deformation of the straight member about its longitudinal axis. It is…

Q: For the joint shown below, a Metric grade 8.8 M90x6 screw connects two plates. The joint stiffness…

Q: Question: Draw a potential to failure curve and explain its characteristics briefly.

A: Potential to failure curve(PF curve)

Q: a.) what happens to the yield strength of 250 maraging steel as the temperature increases? b.)…

A: (a) as the temperature increases the value of yield strength decreases.

Q: For Flexural Stress, when we should use the Ix or Iy? Explain, draw diagram if necessary. In…

A: The standard formula for bending or flexural stress in a beam is, σ=MyINA Here, M is the bending…

Q: C) Discuss the main factors influencing on Buckling behavior estion ?:

A: Buckling is the failure which happen when the applied axial load reaches the Euler load ( critical…

Q: Name at least three applications or situations where torsional deflection would be undesirable

A: Torsional deflection is the part of deflection under where the shear force is responsible for the…

Q: a) A bicycle frame is being designed to carry a pedal force of 800N. Assuming axial loading only,…

Q: What is the inelastic buckling?

A: The strength of a member subjected to compression depends on the material property and its geometry.

Q: 1. A jack having square threads of 50 mm nominal diameter and 10 mm pitch is supporting a load of 89…

Q: A rotating bar made of steel with ultimate strength of 600 MPa is subjected to a completely reversed…

A: Given that ,Sut=630 MPa=630=N/mm2Se=300MPa=300N/mm2N=90000 cycles

Q: Define the term axis buckling?

A: The phenomenon of axis buckling is most commonly found in columns. Whenever a column is loaded and…

Q: 4. What useful informations are obtained from the tensile test of a ductile material? 5. What do you…

A: 4.What useful informations are obtained from the tensile test of a ductile material? Note :-…

Q: A 13-kN hydraulic press for removing and reinstalling bearings in small-to medium-sized electric…

A: Write the given data as follows.

Q: Describe the method that may be used to displacement and slope at a point on the elastic curve?

Q: Q2 The main factors that make a material more likely to undergo a ductile failure could be:

A: Ductile failure: Metals are commonly described as ductile or brittle. When they fail as a result of…

Q: How are the energy methods applied in order to solve problems involving deflection?

A: Given: Energy method on deflection problem To Show : How are the energy methods applied in order to…

Q: Define the term Bending Moment and when is it caused?

A: Bending moment is the reaction induced in the ember when an external force or moment acts on it. It…

Q: According to the lecture, for a bolted tension joint involving a steel fastener and steel parts, we…

A: THE STIFFNESS COEFFICIENT FORMULA BFOR BOLT IN TENSION IS C =1.6 * Ab /Lb from the above definition…

Q: is the minimum compressive load at which column tends to have a lateral deflection to buckle or…

Q: 41. In a bolted joint two members are connected with an axial tightening force of 2200 N. If the…

A: Given that, We know two members are connected in bolted joint W=2200N, p=4 mm=0.004

Q: Q2. Calculate the allowable stress (reliability of 99%) on the swing joint using strength data…

A: Given data: Mean ± Standard deviation from testing = 170 ± 20 MPa We calculate the allowable stress…

Q: Explain, using diagrams where necessary, the difference between local buckling, flexural buckling,…

A: Buckling is the failure of a Beam or column due to axial compressive load. The following are the…

Q: 3. Column is defined as a vertical member of a structure and normally it will be subjected with…

Q: What are the various stresses induced in the wire rope?

A: Wire rope is made of metal and twisted in the form of a helix. The wire rope consists of several…

Q: B. PROBLEM ON TOPIC "COLUMNS" A round steel rod made of AISI C1020 as rolled is to support a load of…

Question

answer part (c) explicitly

The vertical rectangular cross section column shown in Fig. Ql-B is pinned at both ends.
Assuming the young's modulus E for the column material is 200 GPa, ơy = 250 MPa, L=4 m,
a = 30 mm, and b = 50 mm:
1) Find the maximum compressive load P that can be applied to the column without
failure
2) Determine the allowable load.
3) Do you think this column will yield before it buckled? (Take FS = 2.5)

P
L/2
b.
a
L/2
Figure Ql-B: Rectangular Cross Section Column
4) What is the difference in the results of 1, 2, and 3 above if the column length is (L =
6 m)? Discuss the difference.
C) Discuss the main factors influencing on Buckling behavior

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 by step

Solved in 2 steps

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

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?
A slightly tapered bar AB of solid circular crass section and length L is supported at end B and subjected to a tensile load P at the free end A. The diameters of the bar at ends A and B are dAand dB. respectively. Determine the length of the bar if the elongation of the bar due to the load P = 45 kips is 0.02 in. Assume that E = 10,400 ksi.
A steel cable with a nominal diameter of 25 mm (see Table 2-1) is used in a construction yard to lift a bridge section weighing 38 kN. as shown in the figure. The cable has an effective modulus of elasticity E = 140 GPa. (a) If the cable is 14 m long, how much will it stretch when the load is picked up? (b) If the cable is rated for a maximum load of 70 kN, that is the factor of safety with respect to failure of the cable?
A vertical bar is loaded with axial loads at points B, C, and D. as shown in the figure. The bar is made of steel with a modulus of elasticity E = 29,000 ksi., The bar has a cross-sectional area of 8.24 in2. Calculate the displacements at points B, C, and D. Ignore the weight of the bar
An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
A bar AB of length L and weight density y hangs vertically under its awn weight (see figure). The stress-strain relation forth? Material is given by the Romberg-Osgood equation [Eq. (2-71)]: Derive the formula For the elongation of the bar.
A round bar of 10 mm diameter is made of aluminum alloy 7075-T6 (see figure). When the bar is stretched by axial forces P, its diameter decreases by 0.0 16 mm. Find the magnitude of the load P. Obtain the material properties from Appendix 1.
An aluminum bar subjected to tensile Forces P has a length L = 150 in. and cross-sectional area A = 2.0 in2 The stress-strain behavior of the aluminum may be represented approximately by the bilinear stress-strain diagram shown in the figure. Calculate the elongation S of the bar for each of the following axial loads: p = 8 kips, 16 kips. 24 kips, 32 kips, and 40 kips. From these results, plot a diagram of load P versus elongation S (load-displacement diagram).
The assembly shown in the figure consists of a brass core (diameter d:= 0.25 in.) surrounded by a steel shell {inner diameter d2= 0.23 in., outer diameter di= 0.35 in.}. A load .P compresses the core and shell that both have a length L = 4.0 in. The module of elasticity of the brass and steel are Eb=15 X 10fi psi and Es= 30 X 10fi psi, respectively. (a) What load P will compress the assembly by 0.003 in? (b) IF the allowable stress in the steel is 22 ksi and the allowable stress in the brass is 16 ksi. what is the allowable compressive load Pallow? (Suggestion: Use the equations derived in Example 2-8.)
A long, rectangular copper bar under a tensile load P hangs from a pin that is supported by two steel posts (see figure). The copper bar has a length of 2.0 m, a cross-sectional area of4S00 mm", and a modulus of elasticity Ec= 120 GPa. Each steel post has a height of 0.5 m, a cross-sectional area of 4500 mm2, and a modulus of elasticity E = 200 GRa. (a) Determine the downward displacement
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?