EXAMPLE 5.4. A circular bar rigidly fixed at its both ends uniformly tapers from 75 mm at one end to 50 mm at the other end. If its temperature is raised through 26 K, what will be the maximum stress developed in the bar. Take E as 200 GPa and a as 12 x 10 /K for the bar material.

EXAMPLE 5.4. A circular bar rigidly fixed at its both ends uniformly tapers from 75 mm at one end to 50 mm at the other end. If its temperature is raised through 26 K, what will be the maximum stress developed in the bar. Take E as 200 GPa and a as 12 x 10 /K for the bar material.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter9: Time, Temperature, And Mechanical Properties

Section: Chapter Questions

Problem 9.3P

See similar textbooks

Related questions

Q: At a point on the surface of a generator shaft the stresses are as shown in Figure Q2 below.…

A: Given data Compressive load Tensile load Shear stress Angle of inclination of plane in…

Q: The tank shown in the figure is fabricated from a 10 mm steel plate. Determine the longitudinal and…

Q: 4. A hollow steel tube with an inside diameter of 100 mm must carry a tensile load of 400 kN.…

A: Given data in question Inside diameter Load Stress To find out Outside diameter

Q: Given: A steel rod (A= 150 mm2) is stretched between two fixed points with a tensile load of 5000 N…

A: Given data:A=150 mm2 Load,P=5000 Nα=11.7×10-6/°CE=200 GPa or 200×103 N/mm2

Q: Determine the outer diameter (mm) of a tubular rod subjected to an axial force of 49 KN if it…

A: Determination of Outer diameter of Tubular Rod##

Q: A hollow metal tube with an inside diameter of 55 centimeters must carry a tensile load of 490 kN.…

Q: A flywheel is positioned on a shaft as shown below. The weight of the flywheel and applied torque ac…

A: Given Data:Loads on steel shaft Sy=440MpaL1=650mm, L=1200mm, M=75kg, T=200N-m, D=30mm It is required…

Q: For earth pressure at rest, there will be no a) vertical stress b) shear stress c) horizontal stress…

A: For earth pressure at rest there will be both : Horizontal stress Vertical stress There is no…

Q: What is the maximum stress in the bar shown in the figure below? Y 50 kN 50 kN Lx LY Section X-X…

A: The tensile load applied on the bar, P =50KNThe cross section dimesions = 50mm*10mmThe diameter of…

Q: A rod with a cross-section of 2320 mm2 bears the pressure force of P = 180 kN. Rod length L = 50 cm…

A: Given data, Cross section area (A) = 2320mm² Force P = 180KN = 180×10³N Rod length L = 50cm =500mm…

Q: Consider the long gas container shown in the figure under an internal pressure pof 7 N/mm. The mean…

A: step 1-

Q: A closed cylindrical tank containing a pressurized fluid has an inside diameter of 504 mm and a wall…

A: Given data:- Internal Pressure P = 2.4 MPa Internal diameter D = 504 mm Wall thickness t = 10 mm…

Q: Example 2: A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 m…

A: Given Data : Dia of a cylindrical steel = 400mm The thickness of the wall of the Cylinder= 20mm…

Q: A 0.75 in. diameter rod is subjected to 800 lbf and 200 lbf shown in the figure. Determine the state…

A: A torsion-force is a load subjected to a material by twisting it. A shear stress is generated by the…

Q: A beam with varying load is shown at the figure below. If the beam properties are given, what is the…

A: Given data: Beam width = 276mm Beam depth = 411mm Span length = 9m Varying load = 18.45 Kn/m Pre…

Q: A cylindrical shell made of mild steel plate of 100 cm diameter is to be subjected to an internal…

A: Given data- A cylindrical shell-Diameter of steel plate (D) = 100 cmInternal pressure (P) = 10…

Q: A beam with varying load is shown at the figure below. If the beam properties are given, what is the…

A: Introduction: Prestressing process involves application of an initial compressive pre-stress on a…

Q: A closed cylindrical tank containing a pressurized fluid has an inside diameter of 510 mm and a wall…

A: Given data, Internal fluid pressure P = 2.40 MPa Internal diameter D = 510 mm Wall thickness t = 10…

Q: Problem 2. The 200 mm diameter rod is subjected to 300 N and 500 N loads as shown in Figure 2.…

A: in the given beam both torque and bending moment both are acting so that torque - transverse load…

Q: Q4: If the cross section of the beam shown in the figure (3) below has bending stress of 28 MN/m² in…

A: Draw the figure. It is required to determine the centroid.…

Q: +2m R₁ Wo 3m R₂ T 25 mm k 200 mm 25 mm 250 mm 25 mm

Q: The man has a mass of 78 kg and stands motionless at the end of the diving board. If the board has…

A: weight of man P=78 kg=78×9.81=765.18 Nmaximum bending moment in tha board will be at C…

Q: Problem The maximum stress produced by a pull in a bar of length 1 m is 150 N/mm2. The area of…

A: The values and diagram given in the question are as follows Stress in bar(σ)=150 N/mm2 Young's…

Q: Determine the normal strain if the change in length is 0.001 m and the original length 1 m Select…

A: Given data : Change in length=0.001 mOriginal length=1 m

Q: The rigid horizontal slab is attached to two identical copper rods. There is a gap Δ = 6.18 mm…

A: Finding change in length and stress induced due to temperature rise

Q: A force of 250 N is applied to one end of a 14 inches diameter circular rod. Determine the value of…

Q: Q3 A steel wire (E=195 GPa) of diameter d=1.20mm is bent around a pulley of radius Ro= 540 mm as…

A: Stress is the force acting per unit area of an object. It can be tensile ,compressive or both.…

Q: From the given illustration below, the force acting on B is equal to 25 kN, on C = 20 kN, and on D =…

Q: A steel rod with a cross sectional area of 150 mm? is stretched between two fixed points. The…

A: Steel Cross-sectional area: It is defined as the area of the steel rod which is in a circular shape…

Q: A cylindrical tank holding oxygen at 2.091 kPa pressure has an outside diameter of 409 mm and a wall…

Q: (A). A steel tube, 25 mm outside diameter and 12mm inside diameter, cames an axial tensile load of…

A: Note: N/mm² and MN/m² are the same units

Q: Water is placed in a hydraulic press initially at 140 kPa absolute, the pressure is increased to…

A: Calculate the bulk modulus as; Bulk modulus, E= Increase of pressure Volumetric strain Bulk modulus,…

Q: SITUATION 2: A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm,…

Q: determine the diameter of the rod C if the allowable stress 86.60 MPa. Neglect the…

A: Free body diagram of Bar AB

Q: A closed cylindrical tank containing a pressurized fluid has an outside diameter of 448 mm and a…

Q: A steel wire of 20 mm diameter is bent into a circular shape of 10 m radius. If E, the modulus of…

A: Given data : Modulus of elasticity (E)=2×106 kg/cm2diameter (d)=20 mmRadius of curvature (R)=10 m

Q: F1 A square rod with dimensions 0.02 m x 0.02 m x 0.5 m is attached to a solid surface as shown. If…

Q: A water tank made from a steel having a thickness of 12mm has the following dimensions. Internal…

A: Using the formula for hoop stress and longitudinal stress.

Q: o [MPa] steel / staal 250 A aluminium L3 +dAB dcD 120 [mm/mm] L1 L2 0.0012 0.0027 B.

A: from the given data,FAB=P×L2L1+L2= 100×25= 40 KNFCD= 60 KN

Q: A body with mass of 250 kg is supported by five 15 mm diameter cables. Determine the normal stress…

A: Given:- Mass of the body supported by the cables = 250 kg The diameter of the five cables = 15 mm…

Q: Problem 4: from the figure, calculate, (a.) maximum normal stress in the Horton sphere diameter 60 –…

A: The given data is: Diameter of sphere=60 ft The wall thickness=1.13 in The pressure at joints=75 psi

Q: II. The thin container shown in Figure II has a diameter of 1.6 m, a thickness of 10 mm and holds a…

A: Type of Thin vessel is cylindrical Diameter of vessel (D) = 1.6 m = 1600 mm Thick of vessel (t) = 10…

Q: Example/ A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is…

A: Given data: Diameter of the vessel (D) = 400mm the thickness of the wall (t) = 20mm the internal…

Q: Problem 2: A cylindrical steel pressure vessel 450 mm in diameter with a wall thickness of 20 mm, is…

A: Given data Diameter of cylinder d = 450 mm Thickness of cylinder t = 20 mm Internal Pressure P = 4.5…

Q: A wooden beam 100 mm by 200 mm , supported as shown in figure below, carries a load F. what is the…

Q: The state of stress in a long dam is as shown in the figure, Determine 0z in MPa? [E = 200 Gpa, µ =…

Q: The bar ABCD in the figure consists of three cylindrical steel segments, each with a different…

Q: Calculate the maximum shear stress omay in the web of the T-beam shown in the figure if b = 12 in.,…

Question

EXAMPLE 5.4. A circular bar rigidly fixed at its both ends uniformly tapers from 75 mm at
one end to 50 mm at the other end. If its temperature is raised through 26 K, what will be the
maximum stress developed in the bar. Take E as 200 GPa and a as 12 x 10 /K for the bar
material.

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

Stresses in saturated soil without seepage

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The tank shown in the figure is fabricated from a 10 mm steel plate. Determine the longitudinal and tangential stress developed by an internal pressure of 1.2 Mpa
A closed cylindrical tank containing a pressurized fluid has an outside diameter of 448 mm and a wall thickness of 11 mm. The tank is pressurized to 2.53 MPa. Determine the hoop stress in the wall of the tank. Round off the final answer to five decimal places.
The rigid, horizontal slab is attached to two identical copper rods. There is a gap ∆ = 0.18 mm between the middle bar, which is made of aluminum, and the slab. Neglecting the mass of the slab, calculate the stress in each rod when the temperature in the assembly is increased by 60 oC. Use the following data:
A closed cylindrical tank, placed horizontally, 400 mm in internal diameter and 2.2 mm thick is subjected to an axial compressive force (along its longitudinal axis) and uniform internal pressure. The stresses acting on an element of side is shown in the figure.a. What is the magnitude of the internal pressure in MPa?b. What is the applied axial force in kN? (detailed solution please)
A closed cylindrical tank, placed horizontally, 410 mm in internal diameter and 2.0 mm thick is subjected to an axial compressive force (along its longitudinal axis) and uniform internal pressure. The stresses acting on an element of side is shown in the figure.a. What is the magnitude of the internal pressure in MPa? b. What is the applied axial force in kN?
A closed cylindrical tank, placed horizontally, 400 mm in internal diameter and 2.2 mm thick is subjected to an axial compressive force (along its longitudinal axis) and uniform internal pressure. The stresses acting on an element of side is shown in the figure. a. What is the magnitude of the internal pressure in MPa?b. What is the applied axial force in kN?c. What is the maximum shear stress in MPa?
The rigid horizontal slab is attached to two identical copper rods. There is a gap Δ = 6.18 mm between themiddle bar, which is made of aluminum, and the slab. Neglecting the mass of the slab, calculate the stress in each rod when the temperature in the assembly is increased by 81°C. Use the following data:
A cube of side 50 mm is subjected to a pressure of 80 MPa in a pressure chamber. Determine the change in the length of cube if it has a modulus of elasticity of 200 GPa and Poisson's ratio of 0.3.
Show the derivation of the girth and longitudinal stresses of the thin-walled cylindrical container shown below. Say ? is the internal pressure, ? is the inside diameter of the container, and ? is wall thickness. See figure 103. Show complete solution.
A hollow circular column of internal diameter 20 mm and external diameter 40 mm has a total length of 5m. One end of the column is fixed, and the other end is hinged. Find out the crippling stress of the column if E = 2 × 10^5 N/mm2. Also, find out the shortest length of this column for which Euler’s formula is valid taking the yield stress equal to 250 N/mm2.
Assume σx=109 MPa, σy=140 MPa, and τx⁢y=58 MPa for the given figure below. Determine the minimum normal (principal) stress (in MPa). Express final answer in 5 significant figures.
Compute the stress distribution of the beam shown in the figure at mid-section. Cross-sectional dimensions of the beam is 14in X 40in. If the tensile capacity is 1ksi, comment on stability of the beam.