Given: A steel rod (A= 150 mm?) is stretched between two fixed points with a tensile load of 5000 N at 20°C. a.) What will be the stress at -20°C? b.) At what temperature will the stress be zero? Assume a = 11.7 µm/m°C, and E = 200 Gpa

Given: A steel rod (A= 150 mm?) is stretched between two fixed points with a tensile load of 5000 N at 20°C. a.) What will be the stress at -20°C? b.) At what temperature will the stress be zero? Assume a = 11.7 µm/m°C, and 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

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.3P: A rigid bar of weight W = 750 lb hangs from three equally spaced wires: two of steel and one of...

See similar textbooks

Related questions

Q: 4. The bicycle and rider have a combined weight of 240-lbs acting at G. The coefficient of static fr...

Q: A 0.7 kg. ball A is moving along a horizontal circular path t a constant speed of 5 m/s. Determine (...

A: Given:m=0.7 kgv=5 m/sL=1.8 m

Q: Find Rab for the circuit fn figure. 202 202 Rab 792 252

A: The circuit is shown below.

Q: an acetylene tank consists of a cylindrical body flat at its base and hemisphere at the other end . ...

A: Thickness t=2 mmDiameter d=250 mmL=1200 mmσper=180 MPaHoop stress/Circumferential stress σC=Pd2tAnd...

Q: Calculate the following when F-2200N i. Principal stress at point B and sketch the stress element. i...

Q: The vacuum at the steam inlet to a condenser was found to be 716 mm of Hg and the temperature of ste...

A: If no air would have present in the condenser, the maximum vacuum pressure or minimum absolute press...

Q: figure pres

Q: A marble rolling with speed of 20 cm/s, rolls off the edge of a table that is 800m high. How far hor...

A: As per given question H=800m u=20cm/s We have to determine horizontal distance

Q: A plate of 0.125 mm distant from a fixed plate, moves at 20cm/s and requires a force of 40 N per uni...

A: Given data, dy= 0.125 mm =0.000125 m du=u= 20 cm/s =0.2 m/s τ= 40 N/m²

Q: Orthogonal turning is performed on a cylindrical workpiece with shear strength of 250 MPa. The follo...

Q: As an automotive engineer, your role is to design a petrol engine for SUV car with four stroke and f...

A: Petrol or Gasoline engines have always been preferred over Compression Ignition or Diesel Engines in...

Q: What is the kinetic energy of a 3-kilogram ball that is rolling at 2 meters per second?

A: Given data : Mass of ball =m Velocity of ball=V To find : Kinetic energy

Q: If the plate distorts as shown by the dashed lines, determine (a) the shear strain Ym at corners C a...

A: Find shear strain at point C and D Normal strain along diagonals AC and BD

Q: Iratio at 6000 m al sea level where air

Q: A body is reentering the earth's atmosphere at a Mach number of 20. In front of the body is a shockw...

A: given data,M1=20r=1.4P1=1kPaT1=220kM22=M12+2r-12rr-1 M12-1M22=2o2+21.4-12×1.41.4-1202-1

Q: 2) The indicated mean effective pressure is the of the brake mean effective pressure and the frictio...

A: (2) Mean effective pressure is the avarage pressure in the cylinder for complete engine cycle and gi...

Q: The sliders A and Bare connected by a light rigid bar of length I- 25 in, and move with negligible f...

Q: onnected by re of pin E ne periphery

Q: A 2D velocity field is given by V = (u, v) = (2.8 - 1.6x, 0.7 + 1.6y), where the coordinates are in ...

A: Answer: The magnitude of vorticity is 0.

Q: 600 kN Find reactions at support A and B 400 kN 200 kN/m B 3 m 3 m 3m

A: given; →lets take reaction at point A=RA→lets take reaction at point B=RB→weight intensity(w)=200KN/...

Q: The National Aeronautics and Space Administration (NASA) studies the physiological effects of large ...

Q: In an experiment on a small oil-fired boiler, the steam is produced at 6 bar pressure, with dryness ...

A: To Find, Boiler efficiency η and equivalent evaporation (me) Given that, ρ=6 barx=0.6,C.V.=43125 ...

Q: 3: Water flows through a 100 mm diameter pipe at velocity of 4.5m/sec. Find the discharge.

A: Given:d=100 mmV=4.5 m/s

Q: The vacuum in the condenser is 716 mm of Hg when the barometer reads 748 mm of Hg. In another case, ...

A: we raise the barometric pressure is raised to 760 mm without any change in absolute pressure

Q: Determine the force Fe Biv constant velocity Ve= 13m/s for the mechanism The linkage is in the horiz...

A: given; →AB=800mm→mass(m4)=3kg→velocity(VB)=13m/s→moment of inertia(I)=0.03kgm2

Q: A 2D velocity field is given by V = (u, v) = (0.9 + 1.85x, 1.4 - 1.6y), where the coordinates are in...

A: The calculated sum of x and y components of the velocity at the point (1, 2 ).

Q: 8. A pipeline crossing a riveris suspended from a steel cable stretched between the posts 100 m apar...

Q: 1.4 Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly conn...

A: The normal stress (either tensile or compressive) developed in a member when it is subjected to an a...

Q: what happens to the hydrostatic force imposed by the liquid to the tank wall when the tank is closed...

A: In this question we are required to explain about the hydrostatic force imposed by the liquid on the...

Q: A 9.8 m A fluid of relative density 0.88 is flowing through a pipe constant diameter of 15 mm (see t...

A: Fluid relative density = 0.88 PA = 150 KPa PB = 225 KPa ZA = 9.8 m ZB = 0 m

Q: There are three noise sources where each of them operates at 90 + T dB(A) together in the same room....

A: Given data: Three noises are present Each noise source = 99 dB

Q: By means of a graph, show the relationship between temperature and density of a substance.

A: Dear student, According to the guidelines I am allowed to answer only one proble...

Q: Explain the differences between metals, polymers and ceramics in terms of its atomic structure and t...

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

Q: A titanium cylinder having a diameter of 50 mm in diameter and 540 mm long falls inside a vertical t...

Q: A box that contains of a 250 kg fragile instrument is transported by a truck that is subjected to a ...

Q: 1. A block weighing 400 N is pulled along a level from at a constant speed by a rope which makes 40°...

A: As per given question F=220N Mass =400N Angel =40° We have to determine cofficient of friction

Q: determine the distance d v

A: Need to find distance d.

Q: he tensile curve of a material is given. a) Mark the strength points of the material on the curve. b...

A: Given: The tensile curve of a material

Q: 3m atm 2 = 0.2 mpa T8m

A: given:

Q: ic gravity 1.2 long pipe is 1

Q: Air (mass of dry air: 3 kg) with a relative humidity of 50% at 25 °C is supplied isobaric 30 kJ. Wha...

Q: 1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility...

A: Given Governing equation of motion for a base motions system m= 180 kg c= 30kg/s Y= 0.02 ωb=3.5 rad...

Q: A 6-splined shaft delivers a torque of 7.5 kN - m. The spline has the following dimensions: D = 75 m...

A: given; →torque(T)=7.5KN-m =7.5*106N-mm→outer diameter(D)=75mm→inner diameter(d)=60m...

Q: If longitudinal strain for a wire is 0.03 and its Poisson's ratio is 0.5, then its lateral strain is

A: To find : Lateral strain Explanation : Strain is defined as the change in dimension upon original d...

Q: An ultrasonic device, such as the one illustrated in Figure, can be used to measure fluid level.Desc...

A: The location of the level relative to the top or bottom of the process fluid storage tank is def...

Q: A pitot tube is manometer as shown in figure find velocity of fluid at 'A' in (m/s). to find velocit...

A: Given Height, h = 20 cm = 0.2 m Gravity, g = 9.81 m/s2 Find Velcoity, V

Q: A sealed tank containing seawater to a height of 12 m also contains air above the water at gage pres...

A: The velocity of the water leaving the tank can be calculated using the Bernoulli's theorem which is ...

Q: A big PCB manufacturing and assembly factory has collected manufacturing data as shown in Table Q2(b...

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

Q: Question 3 A particle of mass m is attached to the midpoint of a taut string of length L and tension...

Q: 3. A gas expands from the states V₁ = 1 m³ and P₁ = 40 Pa to V₂ = 3 m³ and P₁ = 15 Pa along path B i...

Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

PROBLEM 3
Given: A steel rod (A= 150 mm?) is stretched between
two fixed points with a tensile load of 5000N at 20°C.
a.) What will be the stress at -20°C?
b.) At what temperature will the stress be zero?
Assume a = 11.7 µm/m°C, and E = 200 Gpa
%3D
©sidewa R
L

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 4 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

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?
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 spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure). (a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.) (b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?
A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
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 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 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.
A prismatic bar of length L = 1.8 m and cross-sectional area A = 480 mm" is loaded by forces P{= 30 kN and A = 60 kN (see figure) The bar is constructed of magnesium alloy having a stress-strain curve described by the Ram berg-Osgood equation: 45.000 618 UW id which u has units of mega pascals (MPa). (a) Calculate the displacement 8t- of the end of the bar when the load P:acts alone. (b) Calculate the displacement when the load P, acts alone. (c) Calculate the displacement when both loads act simultaneously.
An elastomeric bearing pad consisting of two steel plates bonded to a chloroprene elastomer (an artificial rubber) is subjected to a shear force V during a static loading test (see figure). The pad has dimensions a = 125 mm and b = 240 mm, and the elastomer has a thickness t = 50 mm. When the Force V equals 12 kN, the top plate is found to have displaced laterally S.O mm with respect to the bottom plate. What is the shear modulus of elasticity G of the chloroprene?
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 of monel metal with a length L = 9 in. and a diameter d = 0225 in. is loaded axially by a tensile force P (see figure). If the bar elongates by 0.0)95 in., what is the decrease in diameter
A steel wire- and an aluminum allay wire have equal lengths, and support equal loads P (see figure). The moduli of elasticity for the steel and aluminum alloy are Ea= 30,000 ksi and Ea= 11,000 ksi, respectively. (a) IF the wires have the same diameters, what is the ratio of the elongation of the aluminum alloy wire to the elongation of the steel wire? (b) If the wires stretch the same amount, what is the ratio of the diameter of the aluminum alloy wire to the diameter of the steel wire? (c) If the wires have the same diameters and same load P, what is the ratio of the initial length of the aluminum alloy wire to that of the steel wire if the aluminum alloy wire stretches 1.5 limes that of the steel wire? (d) If the wires have the same diameters, same initial length, and same load P. what is the material of the upper wire if it elongates 1.7 times that of the steel wire?