1 A 12.5 mm diameter steel rod is pinned between two rigid walls. The rod is initially unstressed. The rod's temperature subsequently increases 50°C. The rod is adequately stiffened and supported such that buckling does not occur. The coefficient of linear ther- mal expansion for steel is 11.7 × 10-6 1/°C. The mod- ulus of elasticity for steel is 210 GPa. What is the approximate axial force in the rod? 3.5 m d- 12.5 mm

1 A 12.5 mm diameter steel rod is pinned between two rigid walls. The rod is initially unstressed. The rod's temperature subsequently increases 50°C. The rod is adequately stiffened and supported such that buckling does not occur. The coefficient of linear ther- mal expansion for steel is 11.7 × 10-6 1/°C. The mod- ulus of elasticity for steel is 210 GPa. What is the approximate axial force in the rod? 3.5 m d- 12.5 mm

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The pin-connectsed structure consists of a rigid bar ABCD and two bronze alloy [E = 100 GPa] bares,…

A: GivenE=100GPaA=340mm2L1=810mmL2=1080mma=480mmb=38mmc=600mmσlim=165MPa

Q: The rectangular bar of linear elastic material (E = 200 GPa, v = 0.25) is loaded as shown in the…

A: As it is not mentioned that which three parts of the question need to be solved, please find the…

Q: Find the final length of the bar of an aluminum alloy with a modulus of elasticity of 68.8 GPa,…

Q: Rigid bar ABC is supported by pin-connected bar (1). Bar (1) is 1.500 in. wide and 1.000 in. thick,…

A: Given:The width of the bar is the thickness of the bar is The elastic modulus is The length of a is…

Q: least factor of safety if the material is cold-d

A: Sfhh

Q: A bronze bar (E = 103 GPa, v = 0.34) with initial dimensions shown is loaded with P = 80 kN. change…

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: A slab of granite countertop is subjected to a tensile force of 3.3 kN, as illustrated below. What…

A: GivenF=3.3kNL=2075mmw=500mmt=16mmn=0.25E=53000MPa

Q: A circular bar of magnesium alloy is 750mm long. The stress-strain diagram for the material is shown…

A: Here at firstCalculating the total strain at point B by using the following relationεB=δLlHere εB ia…

Q: A stepped bar is fixed at end C. The bar has a cross sectional area of 1000 mm² in AB, and a 2000…

Q: A composite section 2 m in length, consisting of a steel tube with outer diameter 24 mm and…

A: Given data: Calculate the inner diameter of the steel tube.

Q: 1.5 m 3 m 400 N 200 N 1 m Member AB is supported by a cable BC and at A by a square rod which fits…

A: Given data: F1=200 NF2=400 NuBC=-0.857i+0.429j+0.286k Need to determine the tension in the cable.

Concept explainers

Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

1 A 12.5 mm diameter steel rod is pinned between
two rigid walls. The rod is initially unstressed. The
rod's temperature subsequently increases 50°C. The
rod is adequately stiffened and supported such that
buckling does not occur. The coefficient of linear ther-
mal expansion for steel is 11.7 × 10-6 1/°C. The mod-
ulus of elasticity for steel is 210 GPa. What is the
approximate axial force in the rod?
3.5 m
d = 12.5 mm

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Types of Properties of Engineering Materials

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 subject is Mechanics of Deformable Bodies
The rigid bar shown is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A₁ = 250 mm², an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of a = 11.3 x 10-6/°C. The pin at C has a diameter of 25 mm. After load P has been applied and the temperature of the entire assembly has been increased by 10°C, the total strain in bar (1) is measured as 775 μ (elongation). Assume L₁= 275 mm, a = 545 mm, b = 150 mm, and c = 265 mm. Determine (a) the magnitude of load P. (b) the average shear stress in pin C. CI Connection detail Answers: (a) P= L₁ (b) TC (1) i C B Rigid bar a kN MPa b D P
Q2/B Acolumn of rainforced concrete has steel reinforcing rods running through its entire length and parallel to the column axis. If concrete has (E) of 15GPa and tensile strength of 2.8 MPa and the steel rods has (E) of (210) GPa and tensile strength of(400) GPa Determine the modulus of elasticity and tensile strength of composite if the steel rods occupy 10% of cross-sectional area of the column 021 21
An aluminium alloy rod of length 1.8m and rectangular cross-sectional of area 250mm^2 is subjected to a compressive load of 45kN. Young's modulus and Poisson's ratio for the material are: E = 71 GPa and v =0.33. Determine the decrease in length and increase in area of the bar.
PROBLEM 4. The rigid bar is supported by a pin at A and two metal wires, each having a diameter of 4 mm. The stress-strain diagram of the steel is given in the Figure below. The lower graph is the zoomed view of the elastic deformation and yielding phases of the stress-strain diagram given by the upper graph (a) Obtain the Young's modulus of metal. What can you say about the kind of metal considering the Young modulus? If the point G is displaced 1.5 mm in vertical direction, (b) determine the forces at wires EB and DC, (b) the intensity of the distributed load w, (c) the final diameters of wires. (Poisson's ratio is v-0.3) E D o (MPa) 600 500 800 mm 400 300 G. 200 10 W 400 mm 250 mm- e(mm/mm) 150 mm 0.04 0.08 0.12 0.16 0.20 0.24 0.28 00005 00010.0015 Q002 00025 0,003 00035
The blue bar is made from steel with the following mechanical properties: Young's Modulus, E = 17x10° psi; Poisson's Ratio v = 0.31. The bar has a circular cross-section with diameter d= 0.50 in. being the length of each side. 557 lb 557 Ib 60 in. - Determine the following under the action of the axial load (assume elastic behavior): a. The bar's axial deformation, ô, in in.: b. The average axial or longitudinal strain, ELong: c. The change in the bar's diameter, in in.:
this is about thermal stress
3. The bar shown below is composed of two pieces, AC and CD. The bar is attached to the wall at point A. The length L = 10 in. The cross sectional areas are: AAC = 4 in? and AcD = 2 in?. The Young's Moduli are: EAC =20 Msi and Ecd= 15 Msi Two forces are applied at points B and D: PB = 50 kips and PD = 20 kips. Determine: (a) the reaction force at A (specify –→ or +) and (b) the deflection of point D (specify → or +). (Hint for (b): Think about how many pieces you must subdivide the rod into.) Ans: RA = 30 kips (+), dp = 7.9167×10-3 in (E) A В C D Pp L 2L L
2. The bottom shell of a steel tanker is longitudinally framed. The spacings of transverse floor and longitudinal are 5 m and 0.8 m respectively. The bottom plating is 12 mm thick and the longitudinals are 150 x 10 mm flat bar. For higher- tensile steel, Young's modulus E = 210 kN/mm and yield stress oy = 340 N/mm?. Calculate the Euler buckling stress of the stiffened bottom panel and comment on the result. State any assumptions made. [342 N/mm]
Please show complete solution and box the final answer
PLEASE ANSWER ASAP TY! The two bars (1) and (2) are made of the aluminum with E = 70 GPa, has the same cross section of 100 mm x 20 mm, and supported by rigid supports at A and C. The coefficient of thermal expansion of the material is 23 x 10–6/oC. At T = 25oC, the two bars have a gap of 5 mm as shown. a) What is the reaction force (in KN) at fixed support A when the temperature is 100oC? b) What is the reaction force (in KN) at fixed support C when the temperature is 100oC? c) What is the stress (in MPa) in bar (1) when the temperature is 100oC? d) What is the stress (in MPa) in bar (2) when the temperature is 100oC?
A steel bar, the material of which is S355 J2 G3, binds two walls together. Pre-tensioning in tie bar 4.3 kN. The temperature of the rod increases by 15 °C. Calculate the normal stress in the cross section of the bar. L = 600 mm, α = 12μ 1/°C, E = 200 GPa and d = 25 mm . Give the answer in MPa as a whole number as a numerical value only. Correct answer to exercise should be = -27