The compound bar, composed ot the three segments shown, is initially stress-free. Compute the stress in segment if the temperature drops 25°C. Assume that the walls do not yield and use the following data:

The compound bar, composed ot the three segments shown, is initially stress-free. Compute the stress in segment if the temperature drops 25°C. Assume that the walls do not yield and use the following data:

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...

See similar textbooks

Related questions

Q: A mild steel specimen of circular cross- section of length 34.53 mm is subjected to a maximum…

A: Given data as per question length of specimen =34.53 mmMaximum tensile force =42.05 kNUltimate…

Q: A constant wind blowing against the side of this chimney has caused creeping strains in the mortar…

A: Let us consider the height of the chimney is h and having constant cross-section against wind, the…

Q: A hollow tubular component is made of Steel having a Young's modulus of 205 GPa and yield strength…

A: Given: Young's modulue (E)=205GPaYield strength σy=250MPaExternal diameter Do=45mmThickness…

Q: A stress-strain diagram for a tension test of an alloy steel sample is shown in the diagram below.…

A: Stress-Strain curve describes the relationship between stress and strain under a certain load in…

Q: Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal…

Q: A steel rod of 20 mm diameter passes centrally through a copper tube 40 mm external diameter and 30…

A: Thermal stress occurs when an external temperature gradient or significant temperature difference…

Q: The steel bolt and anchor assembly is used to reinforce the roof of a passageway in an underground…

Q: A carbon steel ball with 27-mm diameter is pressed together with an aluminum ba Determine the…

A: Carbon Diameter, dc = 27 mmAluminium Diameter, dA = 35 mmForce, F =11 NPoissons Ratio, 0.3…

Q: A horizontal steel rod is secured on a wall as shown. If the rod is initially stress-free, compute…

Q: The bolt shown on the picture is subjected to total tensile force of 90 kN. Determine the tensile…

Q: A hollow tubular component is made of Steel having a Young's modulus of 205 GPa and yield strength…

A: E=205 GPaσy=250 MPad0=45 mmt=3 mmdi=45-2×3di=39 mmL= 4 ma if torque T=580 Nm then shear stress…

Q: 9-b) A circular bar is 0.200 m long and 25 mm diameter. It carries a load of 50 KN. Given that…

Q: 2.76 Steel railroad rails 10 m long are laid with end-to-end clearance of 3 mm at a temperature of…

Q: A bolt weighing 2 kg is accidentally dropped down a vertical cast-iron pipe 4 m long. The lower end…

Q: Jason took a steel rod, 15.29-mm in diameter, and held snugly (but without any initial stress)…

A: Given: The diameter of rod, D = 15.29 mm The coefficient of thermal expansion, α = 13.6x10-6 mm/mmoC…

Q: A circular bar of magnesium alloy is (700+Reg/10) mm long. The stress-strain diagram for the…

A: Given data: Length of magnesium alloy, L = (700+Reg/10) mm. The value for Reg, Reg = 66.…

Q: Problem 3: Derive the differential equation of equilibrium for stresses the x-direction in three…

Q: Natural rubber is tested in tension to a maximum extension ratio of λ = 3. The Mooney-Rivlin…

A: maximum extension ratio of λ = 3. The Mooney-Rivlin constants C1 =…

Q: (a) One end of a wire of length L and diameter d is attached to a high ceiling. The wire hangs…

A: The mathematical expression to calculate the stress produced in the wire due to its self-weight is…

Q: Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal…

Q: The horizontal steel rod, 2.5 m long and 1200 mm 2 in cross sectional area, is secured between two…

A: Give data as per question Length of rod =2.5 m Cross-section area =1200 mm2 Initial temperature =200…

Q: The compound bar, composed ot the three segments shown, is initially stress-free. Compute the stress…

Q: A steel rod, 4 m long and 1500 mm^2 in cross-sectional area, is secured between two walls. If the…

Q: The horizontal steel rod, 2.5 m long and 1200 mm2 in crosssectional area, is secured between two…

Q: The horizontal steel rod, 2.5 m long and 1200 mm 2 in cross sectional area, is secured between two…

A: Given: Length of the bar (L)=2.5m Area of the bar (A)=1200mm2 Initial temperature (T1)=20°C Final…

Q: In constructing a large mobile, Jude hangs an aluminum sphere of mass 6.0kg from a vertical steel…

Q: Three equidistant vertical rods, each of 20 mm diameter, support a load of 25 kN in the same plane…

A: Given data: As the diameter of each rod is the same, so the cross-section area will be also the…

Q: A bar of triangular cross section with base 15mm carries a load of 100 kN. Calculate its minimum…

Q: The compound bar, composed of the three segments shown, is initially stress-free. Compute the stress…

A: Solution -> Given that there is no yielding in the walls. → Net change in length…

Q: The rigid horizontal bar ABC of negligible mass is connected to two rods as shown in the figure. If…

Q: Calculate the modulus E and the shear modulus G

Q: 2. A researcher plans to test a thin sample of a biopolymer under planar loading. Prior tests have…

Q: A steel bolt 8mm diameter fits loosely inside aluminium tube 8mm diameter and 16 mm outside diameter…

A: Diameter of steel rod=8 mmInside dia. of Aluminium tube=8mmOuter dia. of Aluminium…

Q: 4. A ring made of 2.5 cm diameter steel bar carries a pull of 10 kN. Calculate the maximum tensile…

A: We know that a ring composed of steel bar with a diameter of 2.5 cm has a draw of 10 kN. The maximal…

Q: For the prismatic bar in simple tension shown below, the stress state at any point "M" is…

Q: A steel rod bolt 8mm diameter inside fits loosely on an aluminium tube and 16mm outside diameter. A…

A: Given data: The diameter of the steel rod bolt is = 8 mm The outside diameter of the aluminum tube…

Q: Q1: As shown in Fig. 1, there is a gap between the aluminum bar and the rigid slab that is supported…

A: Dear student as you have posted multiple Question , as per the policy i can answer only one question…

Q: A 3-mm-long gold alloy wire intended to electricallybond a computer chip to its package has an…

A: Given data: The initial length of wire, Li = 3 mm. The initial diameter, di = 30 μm. The final…

Q: In constructing a large mobile, Jude hangs an aluminum sphere of mass 6.0kg from a vertical steel…

A: Using condition of equilibrium to calculate the tension in wires,

Q: Problem 3: Derive the differential equation of equilibrium for stresses the x-direction in three…

A: Draw the diagram of stress element. Use small elements in direction of x, y and z. Write the sum of…

Question

calculate the stress in steel and the forces resisted by steel. the answer in the book is not the same in the choices

The compound bar, composed ot the three segments shown, is initially stress-free. Compute the stress in
segment if the temperature drops 25°C. Assume that the walls do not yield and use the following data:
A (mm?)
a (/°C)
11.7x106
E (GPa)
Steel
800
200
Bronze
1400
19.0 x106
83
Aluminum
2000
23. 0 х105
70
800 mm
→<500 mm
+ 400 mm→
Steel
Bronze
Aluminum
Select one:
O a. 11.94 MPa
O b. 81.34 MPa
O C. 59.21 MPa
O d. 15.92 MPa

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

A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?
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?
1. A solid piece of metal of volume 10,000 mm3 is compressed by a pressure of 70 MPa. Determine the bulk modulus given that the Young’s modulus E is 214 Gpa and the Poisson’s ratio is 0.33. Also determine the change in the volume.2. Starting from the first principles derive the relation between Young’s modulus (E), shear modulus (G) and Poisson’s ratio (υ)
mechanics of deformable bodies The cylindrical tank has an outer radius of 1.5m and a wall thickness of 25 mm. If the tank is pressurized to 1.5 MPa, determine the longitudinal stress.
The assembly shown below consists of a brass shell (1) fully bonded to a ceramic core (2). The brass shell [E = 115 GPa; α = 18.7 x 10-6 /°C] has an outside diameter of 50 mm and an inside diameter of 35 mm. The ceramic core [E = 290 GPa; α = 3.1 x 10-6 /°C] has a diameter of 35 mm. At a temperature of 15°C, the assembly is unstressed. Determine the largest temperature increase that is acceptable for the assembly if the normal stress in the longitudinal direction of the brass shell must not exceed 80 MPa.
shows two tubes, one of copper and another of steel of equal length and rigidly connected at their ends so that under all conditions they are of equal length. The copper tube has internal and external diameters of 100 mm and 125 mm respectively whilst the internal and external diameters of the steel tube are 75 mm and 100 mm respectively. If the original length of the tubes was 375 mm, for a temperature rise of 22o C calculate: 1 The stress set up in each tube; 2 The final length of the tubes. Assume: α copper = 18,7 x 10-6/ 0 C; E copper = 82 GPa α steel = 12,6 x 10-6/ 0 C; E steel = 207 GPa
A 23 mm diameter bronze bar 2.8 m long is placed between two rigid walls. At a temperature of -3°C, the gap Δ = 4.6 mm. Find the temperature(at degree-Celsius) at which the compressive stress in the bar will be 34 MPa. Use α = 18.09 × 10-6 m/(m·°C) and E = 82 GPa. Answer in two decimal places. Numerical values only. Don't indicate units here, just on the submitted solution.
Natural rubber is tested in tension to a maximum extension ratio of λ = 3. The Mooney-Rivlin constants for this material are found to be C1 = 0.069 MPa and C2 = 0.125 MPa. Plot the corresponding uniaxial stress vs. extension ratio behavior over the tested range. Derive an expression for the slope of the function, then determine the secant and tangent moduli at 100% strain.
The stress-strain diagram of a reinforcement steel having a cross-sectional diameter of 12 mm diameter and 100 mm gage length is determined after its tensile strength test as follows. Based on the stressstrain diagram determine the followings properties of the material (Poisson’s ratio of the material is 0.32) :
The horizontal steel rod, 2.5 m long and 1200 mm2 in crosssectional area, is secured between two walls as. If the rod is stress-free at 20_C, compute the stress when the temperature has dropped to _20_C. Assume that (1) the walls do not move and (2) the walls move together a distance Δ = 0.5 mm. Use α = 11.7x10-6 oC and E = 200 GPa.
1. A cylinder tankhas a maximum load of 2600 kg while the pressure is 2600 kpa. If the ultimate stress is 55 000 kpa and a factor of safety is 4.5, calculate the required wall thickness of the cylinder. Choose the correct answer below and show complete solution: a. 18.34 mm b. 14.38 mm c. 13.48 mm d. NOTC 2. A spherical tank has a diameter of 12 m, if the tangential stress of the tank is 18 Mpa, determine the maximum internal pressure of the tank can carry if the wall thickness is 25 cm. Choose the correct answer below and show complete solution: a. 150 kPa b. 15000 kPa c. 1500 kPa d. NOTC 3. A cylindrical tank has an inside diameter of 6-in and is subjected to an internal pressure of 600 psi. If the maximum stress is 1300 psi, calculate the required thickness. Choose the correct answer below and show complete solution: a. 0.1385 in. b. 0.3185 c. 0.8135 d. NOTC
– The weight is suspended from structural A–36 steel alloy and 2014-T6 aluminum alloy wires, eachhaving the same initial length of 10 ft and cross-sectional area of 7×10–3 in2 (Figure Q1). If the weight is increasedgradually, determine which wire yields first? Explain which material model and yield criterion you will use? Justifyyour choices