3. The aluminum block has the rectangular cross-section and is subjected to an axial compressive force of 8 kips. The 1.5-in side changed its length to 1.50014 inches. Use E = 10 x 10³ ksi. Calculate the new length of the 2-inch side. Answer: Lnew = 2.00019 in

3. The aluminum block has the rectangular cross-section and is subjected to an axial compressive force of 8 kips. The 1.5-in side changed its length to 1.50014 inches. Use E = 10 x 10³ ksi. Calculate the new length of the 2-inch side. Answer: Lnew = 2.00019 in

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 11.5.12P: An aluminum box column with a square cross section is fixed at the base and free at the top (sec...

See similar textbooks

Related questions

Q: Q1. the spring shown in fig P-1536 has a normal length of 12 in. It is compressed to half its length…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Air in the amount of 0.5 kg is compressed adiabatically and without friction from an initial state…

Q: A double square thread power screw is to raise a load of 70 kN. The screw has a mean diameter of…

A: The torque required to overcome the collar friction is 315000 N•mm.

Q: The 800-kg car at B is connected to the 350-kg car at A by a spring coupling. Determine the stretch…

Q: For the anti-ferromagnetic classical Ising model (interaction as S_i S_j) on a honeycomb lattice,…

A: For a homogeneous lattice the tensor having the indices i,j,k which is running from the 1 to D, For…

Q: equired to obtain a critical Mach number of 0.9 at the same altitude.

A: Given Critical Mach number of airfoil, Mairfoil = 0.7 Mach…

Q: Find the value of height to be raised of crate of mass 10 kg to achieve potential energy of 1000 J

Q: (14) A 40mm steel shaft rotates @ 600rpm & handles 10kW delivered from a pulley located 300mm from…

A: Given data, Diameter of the shaft, d = 40 mm RPM of the shaft rotation, N = 600 rpm Power…

Q: Calculate the amount of sensible heat that must be added to 50 kg of air at 30 deg C Tdb and 23 deg…

Q: A 2.9-lb slider is propelled upward at A along the fixed curved bar which lies in a vertical plane.…

Q: figure shows a rigid bar that is supported by a pin at A and two rods, one made of steel and the…

Q: (2) A short stub shaft made of C1035 (S,= 450MPa; G = 80GPa) receives 20kW @ 360rpm from 300mm spur…

A: Given data, Yield strength of shaft material, Sy = 450 MPa Shear strength of the shaft is…

Q: b) Calculate the inclined angle and orthogonal rake angle yo, when yx =10°, yy=8°, qs=15°.

Q: Q2) Find resultant of forces F1, F2 and F3 as shown in Fig. 2 by graphical method. All dimensions…

Q: What is the pressure (mean normal stress) for the following state of stresses: 30 -6 87 10 15 ksi.…

Q: Determine the forces in members BE and CE of the loaded truss. The forces are positive if in…

Q: The flow of a particular fluid is described by a velocity field given as u = x²y v = x³ = xy² w = 0…

Q: R13-8. The spool, which has a mass of 4 kg, slides along the rotating rod. At the instant shown, the…

Q: A fluid with a specific gravity of 2.6 and a viscosity of 2.0 cP travels through a smooth pipe with…

Q: the angle 8, determine the following: the lengths LBE and LAB, in m the angles a and $, in degrees w…

A: P=762Nθ=32°

Q: ס .ר?LLQ סג ם ס

A: Fpx=170Nd=0.635mMp=130 N

Q: To increase the rate of heat transfer from a device, which has 0.1 m² of exposed surface, you added…

Q: A reversible power cycle whose thermal efficiency is 37% receives 50 kJ by heat transfer from a hot…

A: Givenη=37%Qa=50kJTH=300oC=573K

Q: 9. The rigid bar AB is supported by two rods made of the same material. The bar is initially…

Q: What is the pump work in kJ/kg?

A: To find pump work in kJ/kg

Q: 1. Determine the driven response for: B₁ k k m₂ m₂ Given: ID%4 k spring constant, m; - mass, B; -…

A: Given : To find : Driven response

Q: A projectile is fired from point A with an initial velocity vo which forms an angle a with the…

Q: 6m of its motion starting from rest. If coefficient of friction is 0.2, find the velocity of the…

Q: A bar having a length of 125 mm and cross-sectional area of 467.5 mm² is subjected to an axial force…

Q: One kg of saturated water at 100°C is converted into saturated steam at 100°C. The latent heat of…

A: At 100 degrees Celsius, one kilogramme of saturated water is transformed into saturated…

Q: WHAT ARE THE MILLING SAFTEY?

A: 1. Using milling cutter with good condition (sharpness). 2. No work adjustment is done untill…

Q: A steady stream of 1300 m3 per hour of room air at 16 deg C and 65%RH is to be heated to 150 deg C…

A: Given Data The volumetric flow rate of air is:V1=1300 m3/h The initial temperature of the air…

Q: particle travels along a straight line with a velocity v = (12 – 3t^2) m/s, where t is in seconds.…

Q: A toy rocket is launched from the top of a building 136 feet tall at an initial velocity of 162 feet…

Q: A fan draws air at rest and propels it 45 meters through a rectangular duct measuring 200 by 300 mm.…

A: L=45m

Q: Determine the forces in members BE and CE of the loaded truss. The forces are positive if in…

Q: The shaft of a gear box supporting two spur gears B and C is shown in figure below. The shaft is…

Q: A rectangular plate 0-5 m long, 0.1m wide and 6 mm thick is clamped at the edges. It carries a udl…

A: The given rectangular plate and the udl is as shown below, Calculate the udl value, Intensity=1.5…

Q: What is name of the system below, Explain its function, where it is used, what is the measuring…

A: The force that a fluid (liquid or gas) would exert while at rest on a unit area, such as pounds…

Q: 7. Prove that the efficiency of the diesel cycle below is given by : 1rg-r 77=1-- 174-7₁ y T3-T₂ =1-…

Q: A diesel cycle has a compression ratio of 8 and cut-off ratio of 3.5. The cycle efficiency is: A.…

Q: (10) A 40mm diameter shaft is driven @ 3,600rpm by a 150kW motor. The shaft drives a 400mm diameter…

A: Disclaimer : “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Q/Draw a Top view with the dimensions written on 10 20 20 10 F 50 10 Top View ??

A: Find top view.

Q: Provide complete solution and detailed diagram. An Otto cycle has an initial temperature of 27oC…

Q: Calculate the power required per meter of width of stream to force lubricating oil through the gap…

Q: The lift force, F, of a V-2 rocket missile is a function of its length, L, velocity, V, average…

A: Given data D = 1.2 mL = 30 mvelocity = v = 240 m/sangle of attack = α = 6°density of air = ρ = 1.25…

Q: A homogeneous disk of weight W=6 lb rotates at the constant rate w-22 rad/s with respect to arm ABC,…

Q: Given the multiview projection of the solid, draw its isometric view.

A: according to the detail provided in the three projection view,s we need to draw a hand-free sketch…

Q: Provide complete solution and detailed diagram. A Brayton cycle has an initial air temperature of…

Q: 4. The solid cylinders AB and BC are bonded together at B and are attached to fixed supports at A…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

3. The aluminum block has the rectangular cross-section and is subjected to an axial compressive force
of 8 kips. The 1.5-in side changed its length to 1.50014 inches. Use E = 10 x 10³ ksi. Calculate the new
length of the 2-inch side.
Answer: Lnew = 2.00019 in
1.5 in
2 in.
8 kip-
8 kip
3 in.
4. A solid cylinder of diameter D is subjected to an axial load P. Show that its change in diameter is 8D =
4Pv/лDE.

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 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

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 tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
A steel pad supporting heavy machinery rests on four short, hollow, cast iron piers (see figure). The ultimate strength of the cast iron in compression is 400 MPa. The total load P that may be supported by the pad is 900 kN. Using a factor or safely 3.0 with respect to ultimate strength, determine the outer diameter of the pier if the thickness, is of the cross section is 12 mm.
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 pad supporting heavy machinery rests on Four short, hollow, cast iron piers (see figure). The ultimate strength of the cast iron in compression in 50 ksi. The outer diameter of the piers is d = 4.5 in, and the wall thickness is t = 0.40 in. Using a factor of safety of 3.5 with respect to the ultimate strength, determine the total load P that can be supported by the pad.
A vertical pole of aluminum is fixed at the base and pulled at the top by a cable having a tensile force T(see figure). The cable is attached at the outer edge of a stiffened cover plate on top of the pole and makes an angle a = 20° at the point of attachment. The pole has length a = 2.5 m and a hollow circular cross section with an outer diameter d2= 280 mm and inner diameter d1= 220 mm. The circular cover plate has diameter 1.5d2 Determine the allowable tensile force Tallow in the cable if the allowable compressive stress in the aluminum pole is 90 MPa.
A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stress
A flying but tress transmit s a load P = 25 kN, acting at an angle of 60º to the horizontal, to the top of a vertical buttress AB (see figure). The vertical buttress has height h = 5.0 m and rectangular cross section of thickness t = 1.5 m and width b = 1.0 m (perpendicular to the plane of the figure). The stone used in the construction weighs y = 26 kN/m3. What is the required weight W of the pedestal and statue above the vertical buttress (that is, above section A) to avoid any tensile stresses in the vertical buttress?
A pinned-end column with a length L = 18 ft is constructed from a W12 x 87 wide-flange shape (sec figure). The column is subjected to a centrally applied load P1=180 kips and an eccentrically applied load P2=15 kips. The load P2acts at a distance s = 5.0 in. from the centroid of the cross section. The properties of the steel arc E = 29,000 ksi and y = 36 ksi. Calculate the maximum compressive stress in the column. Determine the factor of safety with respect to yielding.
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?
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 mountain bike rider going uphill applies a force P = 65 N to each end of the handlebars AB CD, made of aluminum alloy 7075-T6, by pulling on the handlebar extenders (DF on right handlebar segment). Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A), Segments AB and CD are prismatic with lengths Lvand L3 and with outer diameters and thicknesses J01, /01 and d03, /03, respectively, as shown. Segment BC of length L2, however, is tapered, and outer diameter and thickness vary linearly between dimensions at B and C Consider shear, torsion, and bending effects only for segment AD; assume DFis rigid. Find the maximum tensile, compressive, and shear stresses adjacent to support A. Show where each maximum stress value occurs