A long metal plate (E = 210 GPa) with some cutouts in it is mounted between two rigid plates at 6 am. By noon, the temperaturehas risen by 20°C. The structure is made from aluminium with a coefficient of thermal expansion of a = 23 x 10-6/°C.Please use the stress concentration chart shown below for any relevant calculations.a10hLbOUse the following values in your working out:K3.23.02.82.62.42.22.0L = 13 m00.1P0.2WWJavg0.32rP(w2r)t0.4P▬▬▬▬▬▬▬0.5h = 5.3 ma = 0.8 mb = 1.6 ma) What is the average normal stress throughout the plate at noon?b) What is the maximum stress at any point in the structure?c)The material the plate is made from has a tensile yield stress of 416 MPa and a compressive yield stress of 200 MPa. Usingthese values, do you expect the plate to yield at/before noon?

Young's Modulus (E) of the material: 210 GPa (Gigapascals)Coefficient of Thermal Expansion (α): 23 ×…

A long metal plate (E = 210 GPa) with some cutouts in it is mounted between two rigid plates at 6 am. By noon, the temperature has risen by 20°C. The structure is made from aluminium with a coefficient of thermal expansion of a = 23 x 10-6/°C. Please use the stress concentration chart shown below for any relevant calculations. a10 h L O Use the following values in your working out: K 3.2 3.0 2.8 2.6 2.4 2.2 2.0 L = 13 m h = 5.3 m a = 0.8 m b = 1.6 m 0 0.1 W PA 0.2 W Javg = 0.3 2r P (w2r)t 0.4 P 0.5 a) What is the average normal stress throughout the plate at noon? b) What is the maximum stress at any point in the structure? c) The material the plate is made from has a tensile yield stress of 416 MPa and a compressive yield stress of 200 MPa. Using these values, do you expect the plate to yield at/before noon?

A long metal plate (E = 210 GPa) with some cutouts in it is mounted between two rigid plates at 6 am. By noon, the temperature has risen by 20°C. The structure is made from aluminium with a coefficient of thermal expansion of a = 23 x 10-6/°C. Please use the stress concentration chart shown below for any relevant calculations. a10 h L O Use the following values in your working out: K 3.2 3.0 2.8 2.6 2.4 2.2 2.0 L = 13 m h = 5.3 m a = 0.8 m b = 1.6 m 0 0.1 W PA 0.2 W Javg = 0.3 2r P (w2r)t 0.4 P 0.5 a) What is the average normal stress throughout the plate at noon? b) What is the maximum stress at any point in the structure? c) The material the plate is made from has a tensile yield stress of 416 MPa and a compressive yield stress of 200 MPa. Using these values, do you expect the plate to yield at/before noon?

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: A steel [E = 200 GPa] rod with a circular cross section is 7.5-m long. Determine the minimum…

Q: HAB P В µCG UBC If the picture does not load, click here. Three blocks are positioned on an incline…

Q: 450 mm, B 19 500 mm C 360 mm 320 mm 600 mm X

A: If the weight of the container is 100kg. What are the tensions of cables AB, AC, and AD.

Q: [20 [o] = 10 0 b. Plot Mohr's circle for this stress state. 10 01 10 005 0 a. Determine the stress…

A: (a) Write the given stress matrix. σ=2010010100005

Q: An aluminum tube is rigidly fastened between a bronze rod and steel rod as shown in the following…

A: Let us consider the aluminum tube that is lied between the brass and steel, Given Data Area of the…

Q: Problem 4: The state of stress at a particular point in a structure is given below. 10 20 0 ¹-[20 =…

A: (a) σ3−20σ2−500σ+6000=0(b) charecterstic equation is satisfied it's condotion.(c) σ1=30 MPa ;…

Q: The allowable tensile stress for wires AB and AC is allow 190 MPa. The applied load is P = 7.8 kN.…

A: Given that: Maximum allowable stress = 190 MPa The applied load P = 7.8 kN For the given…

Q: The composite plate is made from both steel (A) and brass (B) segments. Take Pat = 7.85 Mg/m³ and…

Q: A steel [E = 200 GPa] rod with a circular cross section is 5 m long. Determine the minimum diameter…

A: Given data: The youngs modulus of the rod is, E=200 GPa. The length of the rod is, L=5 m. The…

Q: Compare the use of a low-strength, ductile material (1018 CD) in which the stress-concentration…

A: The forces acting on the material are-The factor of safety at point A if Q&T material is used…

Q: At a temperature of 40°F, a 0.08 in. gap exists between the ends of the two bars shown. Bar (1) is…

A: Given data Initial temperature of bars (Ti) = 40˚F Coefficient of thermal expansion for bar 1 &…

Q: the stress-strain curve can be written by the Ramberg-Osgood equation presented below, where the…

Q: The more severe the change in geometry, the larger the stress concentration. Is it true or false?…

A: Stress concentration is a location in a member under load where the magnitude of stress is…

Q: Four 10 kg masses are being supported by an 800mm solid rod. The rod is being supported at both…

Q: Subject: Mechanical engineering. Question: A bar 1.5 m long is made up of two parts of aluminium and…

Q: QUESTION 15 A bimetallic bar is made of two equal length steel and brass bars of same width firmly…

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

Q: The bar shown has three components, AB, BC, and CD with different lengths, cross-sections and…

Q: Please explain the solution in detail,use FBD in your explanation.

Q: For many viscous materials, the viscosity n may be defined in terms of the expression deldt where o…

Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

100%

A long metal plate (E = 210 GPa) with some cutouts in it is mounted between two rigid plates at 6 am. By noon, the temperature
has risen by 20°C. The structure is made from aluminium with a coefficient of thermal expansion of a = 23 x 10-6/°C.
Please use the stress concentration chart shown below for any relevant calculations.
a10
h
L
b
O
Use the following values in your working out:
K
3.2
3.0
2.8
2.6
2.4
2.2
2.0
L = 13 m
0
0.1
P
0.2
W
W
Javg
0.3
2r
P
(w2r)t
0.4
P
▬▬▬▬▬▬▬
0.5
h = 5.3 m
a = 0.8 m
b = 1.6 m
a) What is the average normal stress throughout the plate at noon?
b) What is the maximum stress at any point in the structure?
c)
The material the plate is made from has a tensile yield stress of 416 MPa and a compressive yield stress of 200 MPa. Using
these values, do you expect the plate to yield at/before noon?

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: Given data

VIEW

Step 2: Calculation of stress concetration factor

VIEW

Step 3: Calculation of average normal stress

VIEW

Step 4: Calculation of maximum stress

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 9 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

3. A group of engineers has come up with a new coating (“A") for metals (“B"). Consider the diamond shaped micro-hardness indentations shown to the right. Which material is harder. A "A" or "B" Justify your answei B 50 μι
Question 5. A component consists of two horizontal concentric solid cylinders, A and B, fixed together as shown in the diagram below. X mm x Cylinder A 800 mm x = OG Cylinder B mm 500 mm Cylinder A has a diameter of X=50 mm, a length of 800 mm and is made of steel having a density of 7800 kg/m³. Ymm Cylinder B has a diameter of Y=66 mm, a length of 500 mm and is made of aluminium having a density of 2600 kg/m³. The dimension is the distance from the left-hand end of the component to its centre of gravity at point G. Calculate and enter your answer, in mm, correct to three significant figures in the box below.
The Hooke's Law expression relating normal stress and normal strains with a single elastic modulus and single Poisson's ratio is appropriate at a single temperature and for both isotropic and anisotropic materials. O True O False
When rebuilding his car's engine, a mechanic must exert 300'N of force to insert a dry steel piston into a steel cylinder. What is the magnitude of the normal force between the piston and cylinder? (b) What is the magnitude of the force would he have to exert if the steel parts were oiled? (us for dry steel on steel = 0.6; µk for dry steel on steel = 0.3; us for oiled steel on steel = 0.05; µk for oiled steel on steel = 0.03)
pls help me
please help me with this question i got someone else to help me and they got the wrong answer now i only have one attempt please help me get the right answer thank you
A specimen of magnesium having a rectan- gular cross section of dimensions 3.2 mm × 19.1 mm (in. × in.) is deformed in ten- sion. Using the load-elongation data tabulated as follows, complete parts (a) through (f). lbf 0 310 625 1265 1670 1830 2220 2890 3170 3225 3110 2810 Load N 0 1380 2780 5630 7430 8140 9870 12,850 14,100 14,340 13,830 12,500 in. 2.500 2.501 2.502 2.505 2.508 2.510 2.525 2.575 2.625 2.675 2.725 2.775 Fracture Length mm 63.50 63.53 63.56 63.62 63.70 63.75 64.14 65.41 66.68 67.95 69.22 70.49 (a) Plot the data as engineering stress versus engineering strain. (b) Compute the modulus of elasticity. (c) Determine the yield strength at a strain offset of 0.002. (d) Determine the tensile strength of this alloy. (e) Compute the modulus of resilience. (f) What is the ductility, in percent elongation?
Attached formula sheet Some Young’s moduli (GPa) Aluminum 69 Brass 100 Steel 200 Gold 74 Rubber 0.01 Some linear coefficients of thermal expansion (in 10- 6m/m°C) Aluminum Brass Steel Gold Rubber 21-21 18-19 10-12.5 14 80
Parvinbhai
In a tensile test for an aluminum alloy, the sample used is 2 inches long and 0.5 inches in diameter. The proportional portion of the tension stress-strain diagram for an aluminum alloy is shown below. _x106 lb/in² Pay attention to units and calculate your answer to 1 decimal place for the unit specified above. σ (ksi) 70 t 0.00614 Determine the modulus of elasticity for this material: € (in./in.)
The state of stress at a point in an engine piston is given in the x-y-z coordinates by: 90 180 [0]=0, MPa = 180 240 yx yy 120 zy Using the matrix transformation law, determine the state of stress at the same point for an element rotated about the x-axis (in the y-z plane) 60° clockwise from its original position. Calculate the stress invariants and write the characteristic equation for the original state of stress, Calculate the deviatoric invariants for the original state of stress, Calculate the principal stresses and the absolute maximum shear stress at the point. What are the stress invariants and the characteristic equation for the transformed state of stress, а. b. С. d. e
Pressure vessels are very common in many industries. The purpose of this exercise is to examine how stresses evolve within the walls of a pressure vessel as a function of position within the wall and wall thickness. Recall the thick-walled cylinder solution developed in class. Re-write the solution to the case of a thick-walled cylinder with inner radius a, outer radius b, internal pressure p₁, and external pressure, p2. Orr = 000 = + a²p₁-b²p2 (P2₂ - P₁)a²b² 1 (b²-a²) (6²-a²) ²¹ a²p₁b²p2 (b²-a²) 1 axis (P2 - P₁)a²b² 1 (b²-a²) r² (a) Draw a diagram showing the evolution of orr and σ00 from a to b when a/b=0.5 and P2 = 0. (b) Make the assumption that p₂ = 0, a + b ≈ 2r, ba≈t, and a b≈r to derive the expression for orr and one for a thin-walled pressure vessel. For a sanity check, your solution should be arr 0 and σ00 = pir/t. = (c) Now consider the classical strength of materials approach to pressure vessels. Imagine the pressure vessel shown in Fig. 2 (note, the radius of the…