Answered: 8. A steel bar of 40mm x 40mm square…

8. A steel bar of 40mm x 40mm square cross-section is subjected to an axial compressive load of 200kN. If the length of the bar is 2m and E=200GPA, the elongation of the bar well be

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 2.3.21P: A slightly tapered bar AB of solid circular crass section and length L is supported at end B and...

See similar textbooks

Related questions

Q: The v-component of the force is about 30 lb 15 30 O 20.20 Ib O 21.21 lb O 23.23 lb O 24.24 lb

A: Given data as per question Applied force =30 lb considering vector diagram

Q: The tension in AB is about Weight 200 N 108.70 N 110.40 N 120.60 N

A: Handwriting.jpg

Q: Exhaust gases leave an internal combustion engine at 800deg C and 1 atmosphere, after having done 10...

Q: A vertical cylindrical steel tank 3 m in diameter and 6m high has a wall thickness of 12 mm. If the ...

A: Given:Diameter of tank, d=3 mheight of the tank, h=6 mwall thickness, t=12 mm

Q: The (180 N) force is applied to the end of body OAB. If 0=50 determined the equivalent force couple ...

Q: Determine the flow rate of air through an axial bush seal. The outer diameter of the inner cylinder ...

Q: Q3. A four cylinder, 2.4 liter spark ignition engine operates on a four-stroke cycle at 3200 rpm. Th...

A: 4-Cylinder2.4literN=3200rpmRatio=9.5:1L=18cmS=1.06B20° after TDC To-Find:- 1) Clearance Volume2) Ave...

Q: 11. Given the utility expression: Ux= Ag - 0.05 T, - 0.04T, - 0.02 T, - 0.01 C Where:T, is the acces...

A: A logic model presents an image of how your work or drive should function. It makes sense of why you...

Q: The tension in AB is about Weight 200 N 108.70 N O 110.40 N 120.60 N 95.50 N

A: GIVEN DATA- A CABLE SYSTEM GIVEN ATTACHED TO THE 200N LOAD WE HAVE TO FIND TENSION IN CABLE AB

Q: Auerage heau dtrero = 2 Nimm2 Determine Maximum d hear Stren Sar rectangulan dection

A: Given data : Average shear stress is ratio shear force upon cross sectional area The value of avera...

Q: Experimental Techniques for Identification of Microstructure and Defects?

Q: The metal stud punch shown in the figure below is designed to create circular shaped perforations on...

A: according to the given details

Q: 57 C at 3 bar in a heater from an infinite eat source at temperature 227°C. Find the ain in availabi...

Q: A 3/8-inch diameter bolt is subjected to a 2,135-lb tensile load. The bolt passes through a very thi...

Q: Explain the role of manufacturing in design?

Q: For the simply supported beam shown below, determine the internal resultant loadings at point 0.5 me...

A: It is required to determine internal reaction force at 0.5 m left to point C

Q: Draw the Free Body Diagram only of next fig.

Q: Problem 3 Wall A gate is 1.5m in width and hinged at point A. Another point on the gate, B, is resti...

Q: 18 Modulus flapicity equal 2 times Bulk modeulus Find Poinson ratio

A: Given data : Modulus of elasticity=E Bulk modulus=K Find : Poisson ratio

Q: Consider laminar flow of water over a flat plate of length 1 m. If the boundary layer thickness at a...

Q: 1 kg of air expands in a non flow process from 10 bar and 167°C to 3 bar and 57°C. Calculate the max...

A: In a non-flow process, 1 kilogramme of air expands from 10 pressure and 167oC to 3 bar and 57oC.We n...

Q: 02 2N Find markdore.

A: Given data : The value of force applied F=2 N The value of Distance moved by an ball d=1.1 To find...

Q: The magnitude of the resultant force is about 8.675 N 5.567 N 6.765 N 4.567 N

Q: The (180 N) force is applied to the end of body OAB. If 0=50 determined the equivalent force couple ...

A: Given DataF=180Nθ=50°

Q: 10. A rough casting for a rotor weighs 450 lb. and is mounted on centres 46 in. apart, ready for mac...

Q: Neglecting friction and the radius of the pulley. determine the reaction at C. D 150 mm |B 120 N |A ...

A: Answer: ◆ The reaction at C is 224 N acting at 2.05°. ◆ Therefore, the correct answer is option (c).

Q: Guren : H20 Reclangular lom Sabmenged object nodth w= Im of 45° Reguered: F= hydrostatic force YR - ...

Q: The uniform box shown in next figure, has a mass of 40 Kg. If the two forces T = 60 N and F =30 N ar...

Q: Q2 Use the analytical method to find the resultant and its direction of the forces shown in figure 1...

Q: For a product, the forecast and actual sales for april 2021 were 25 and 30 respectiveley. If the exp...

A: Given Data DA=30 FA=25 a=0.2

Q: 1. In the figure shown, a vertical triangular gate submerged in a certain liquid with s.g. = 0,85. I...

Q: For a product, the forecast and actual sales for april 2021 were 25 and 30 respectiveley. If the exp...

A: Given data Forecase for april 2021 = Ft-1 = 25Actual sales for april 2021 = Dt-1 = 20Exponential smo...

Q: The 4-lb brick slides down a smooth roof, such that when it is at A it has a velocity of 5 ft/s. Det...

A: Given Mass = 4 lb Velocity = 5 ft/s To find Speed of the brick Magnitude of d

Q: Calculate the machining time to complete the job as shown below from a bar 120 mm long and 60 mm dia...

A: Given: length of the job→L=120 mm initial diameter→D=60 mm maximum depth of cut→d=5 mm hence in sin...

Q: 1. Collar A moves in a constant velocity of 900 mm/s to the right. At the instant when e = 30°, dete...

Q: Find the power capacity and the cone angle of a cone clutch under uniform pressure having 220 mm maj...

Q: The power output of a steam turbine is 5 MW. The inlet conditions are 2 MPa of pressure, 400 degrees...

Q: List out the various types of pressure sensor. Explain any one with necessary diagram.

A: .Pressure Sensors types and explanation with Diagram

Q: Q4 Find the moment about point O in figure 2. 25 N 45 0.5 2.25 m 40 N 20 N 2.75 m 2 m 30 15m 3 m 30 ...

A: Answer: The moment about point O is 4.469725 N•m (anti-clockwise).

Q: ads also act on the rod: P = 1700 lb and Q = 1400 lb. Assume a = 15 in. and b = 30 in. Determine the...

Q: Q4. A six-cylinder, 3-liter engine operates on a four-stroke cycle at 3600 r.p.m. The compression ra...

A: as per guidelines i have to solve only three subpart of your question , please kindly repost remaini...

Q: 18 Modulus f elaeticity equal 2 times Bulk modeulus Find Poinson ratio

A: Consider the elastic modulus of the material as E. Consider the bulk modulus of the material as K. C...

Q: Solve the given linear system by any method. 211 - I, + 3I3 + 4I, = 9 – 2I3 + 7I4 = 11 311 - 312 + I...

Q: Q3: Find the centroid of the next shaded area. 2.5m

Q: Give example of a problem solved using reheat rankine cycle method and compare to rankine cycle meth...

A: The calculation process is given below:

Q: 25. Find velocity (m/s) and kinetic energy (eV) of a thermal neutron at a tempera- ture of 500 F. [A...

A: Given data as per question Temperature=500 F=533.15 kKE=12mv2andvT=2kTm=12m×2kTm=kTe=1.38×10−23×533....

Q: A fire hydrant has an outlet diameter of 635 mm located 1.2 meters above the ground. When the valve ...

A: Calculate the time taken by the water jet to reach the ground. t=2Hg Here, t is the time taken by th...

Q: Explain the role of manufacturing in design?

A: Introduction: manufacturing is done on behalf of the design of the product. According to the dimensi...

Q: Q5: Find the both moments of inertia (Ix, Iy) by integration around the central coordinates as shown...

A: Givenb=2d=3

Q: The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner ...

A: Answer: (a) The maximum shear stress in ◆ Bronze sleeve (1) : 71.7676 MPa ◆ Steel Core (2) : 95.5348...

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

Take square section 30 mm*30 mm

8. A steel bar of 40mm x 40mm square cross-section is subjected to an axial
compressive load of 200kN. If the length of the bar is 2m and E=200GPA,
the elongation of the bar well be

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 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

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 steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof the bar?
A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?
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?
A square aluminum bar with pinned ends carries a load P = 25 kips acting at distance e = 2,0 in. from the center (sec figure). The bar has a length E = 54 in. and modulus of elasticity E = 10,600 ksi. If the stress in the bar is not to exceed 6 ksi, what is the minimum permissible width bminof the bar?
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 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 rigid bar of length L is supported by a linear elastic rotational spring with rotational stiffness ßRat A. Determine the critical load Pcr for the structure.
An aluminum tube AB with a circular cross section has a sliding support at the base and is pinned at the top to a horizontal beam supporting a load Q = 200 kN (sec figure). Determine the required thickness t of the tube if its outside diameter d is 200 mm and the desired factor of safety with respect to Eu 1er buckling is n = 3.0. (Assume E = 72 GPa.)
A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 75 lb/ft" against the full area of the sign. The dimensions of the poles and sign are hx= 20 ft, /r =5 ft, and h = 10 ft. To prevent buckling of the walls of the poles, the thickness e is specified as one-tenth the outside diameter d. (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7500 psi in the aluminum. (b) Determine the minimum required diameter based upon an allowable shear stress of 300 psi.
A pinned-end strut of aluminum (E = 10,400 ksi) with a length L = 6 ft is constructed of circular tubing with an outside diameter d = 1 in. (sec figure). The strut must resist an axial load F = 4 kips with a factor of safety n = 2.0 with respect to the critical load. Determine the required thickness t of the tube.
A steel bar of 40 mm x 40 mm square cross section is subjected to an axial tensile load of 200 kN. If the length of the bar is 2m and E=200 GPa, the elongation of the bar will be: