Engineering College

Rigid bar ABC is supported by three symmetrically-positioned vertical rods, which are initially unstrained. After load P is applied, the normal strain in rods (2) is 0.0010 mm/mm. Determine the normal strain in rod (1) if there is a gap of 1.0 mm in the connection between rod (1) and the rigid bar at B. Report the strain in mm/mm

Answers

Answer 1

Answer:

The answer is below

Explanation:

The lengths of the rods are not given.

Let us assume the length of rod 1 = 1500 mm and the length of rod 2 = 800 mm

Solution:

The normal strain is defined as the change in member length δ divided by the initial member length L. The normal strain (ε) is:

ε = δ / L

δ = εL

For rod 1:

[tex]\delta_2=\epsilon_2 L_2\\\\\delta_2=0.0010\ mm/mm*1500\ mm=1.5\ mm[/tex]

The axial elongation of rod 2 is 1.5 mm. Since rigid bar ABC is attached to rod 2, the rigid bar move down by same amount.

The rigid bar moves down 1.8 mm but rods 1 will not be stretched by this amount. Because there is a gap between rod (1) and the rigid bar at B, the first deflection of 1 mm would not cause an elongation in rod 1. Therefore, the elongation in rods (1) is:

[tex]\delta_1=1.5\ mm-1\ mm=0.5\ mm[/tex]

The normal strain in rod 1 is:

[tex]\epsilon_1=\frac{\delta_1}{L_1} =\frac{0.5\ mm}{800\ mm} \\\\\epsilon_1=0.000625\ mm/mm[/tex]

Related Questions

2 Describe the four major disciplines of engineering and identify problems or projects that an engineer in each discipline might encounter. Chemical engineering Civil engineering . Electrical engineering Mechanical engineering

Answers

Answer: Starting of with Chemical Engineering something that they may encounter is a lack of adeptness man puissance. People that are working there are not much adept or having cognizance regarding to chemical industry. Something someone with a Civil engineering might encounter is the quandary of sustainable construction, and amendment construction site safety. To go on , something that Electrical engineering might encounter is a Non technical , Virtually an electrical engineer has to deal with an astronomical range of machines , control panels,instruments. For example you are working with circuit breakers,as anon as you’ll have expertise on any particular type of circuit breaker, there's a transmutation in trend and the CB you are working with is already obsolete. And last but no least , Something someone might encounter while doing Mechanical engineering is there toxic substances because their work environment is susceptible to fires, explosions, structural failures and equipment malfunctions.

Answer:

Chemical engineering

Uses chemical processes to find new ways to produce goods. Making antibiotics, pesticides, safe clothes, and foods.

· Civil engineering

Builds structures to try and make them efficient. Makes a tornado-proof house, explosion-proof bunker, or easily navigable subway system.

· Electrical engineering

Develops the electrical components for things. Game systems, keyboards, projectors, or hard drives.

· Mechanical engineering

Mechanical engineers work with things with mechanical processes and moving parts. Drills, wheels, elevators, or cranes.

Consider a single crystal of some hypothetical metal that has an FCC crystal structure and is oriented such that a tensile stress is applied along a[102] direction. If slip occurs on a( 111) plane and in a [ 101] direction, compute the stress at which the crystal yields if its critical resolved shear stress is 12.76 MPa.
a. 13.96 MPa
b. 52.1 MPa
c. 0 MPa
d. 30.9 MPa
e. 3.1 MPa

Answers

I believe it’s B but I could be wrong

Rigid bar ACB is supported by an elastic cir-cular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of load P 5kips5 E 5 29,000 ksi. Point is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B

Answers

Answer:

The change in length of the circular strut DC = 0.0028 in.

The vertical displacement of the rigid bar at point B = 0.00378 in.

Explanation:

We have the following parameters or information in the question given above:

=> The outer diameter = 15 in., the inner diameter = 14.4 in., the modulus elasticity of E = 29,000 ksi, and the Point load P = 5kips.

The diagram showing the rigid bar ACB is supported by an elastic cir-cular strut DC is given in the attached picture below.

According to Newton's law of motion, it can be seen that the force on CD, that is FCD is equal and opposite to ACD. Hence, FCD = ACD.

Where FCD = p × [4 + 5] ÷ [sin Ф × 4].

kindly note that from the diagram sin Ф = 3/5, cos Ф = 4/5 and tan Ф = 3/4. Also p =5.

Hence, FCD =[ 5 × 9] ÷ [3/5 × 4] = 18.75 kip. So FCD = ACD.

The next thing here is to determine the area and length of CD, say the area of CD is G, thus, G = π/4 × [ 15² - 14.4²] = 13.854 in².

The lenght of CD is = √[4² + 3²] = √[16 + 9] = 5ft. Thus, 5 × 12 = 60in.

Hence, the change in length of the circular strut DC = [18.75 × 60] ÷ 13.854 × 29000 = 0.0028 in.

The vertical deflection of CD = 0.0028 × 3/5 = 0.00168 in.

We have that; 4 /CV = 9BV. Hence, BV = 9/4× CV.

(CV = vertical deflection of CD).

The vertical displacement of the rigid bar at point B = 9/ 4 × 0.00168 in = 0.00378 in.

Consider one-dimensional heat conduction through a large plane wall with no heat generation that is perfectly insulated on one side and is subjected to convection and radiation on the other side. It is claimed that under steady conditions, the temperature in a plane wall must be uniform (the same everywhere). Is this claim reasonable

Answers

Answer:

YES, this claim reasonable

Explanation:

the temperature in a plane wall is uniform since no heat is penetrating into the large plane wall and therefore, there is no heat transfer from the wall under steady conditions,

This condition will be met only when there are no temperature differences within the wall and the the outer surface temperature of the wall is equal to the temperature of its surrounding.

Therefore, Yes, this claim is reasonable

The answer is all income (&) expenses

Answers

Answer:

NICE

Explanation:

Draw a FBD of the beam with reactions at A & B. A is a pin, B is a roller. Try to guess intuitively which way the vertical components of A & B are pointing. Do not show the 6 kN forces in your FBD. Only show the couple moment, or pure moment

Answers

Answer:

kindly check the drawing of the FBD of the beam with reactions at A & B. A is a pin, B is a roller in the attached picture.

Explanation:

Without further ado, let's dive straight into the solution to the question above. From the diagram of the FBD of the beam with reactions at A & B it can be shown that the reaction moment is anticlockwise while the moment is clockwise.

The system is at equilibrium and the it does not matter where you place the couple (pure) moment.

The distance from A to C can either be equal or not. If AY = 2.15 kN and M = 25.8. Then, the distance between A and B = 25.8/2.15 = 12m.

What is a kind of useful car?

Answers

Yes what he/she said a truck is a very useful car if you want to go to work with it many use it for that, it can vary many things:)

Assume that 50,000 yd3 of the soil from a local borrow pit in Rhode Island, with a water content of 13% and dry unit weight of 87 pcf, is to be delivered to a construction site for some repairs of highway in I-95. By the time it reaches the site, the water content is 9%. It will be compacted to a minimum of 90% of the modified Proctor maximum dry density. Determine the total amount of water (in pounds), that must be added to the soil to increase the moisture content to the optimum level. Assume a Gs

Answers

Answer:3000 yd3

Explanation:

so i got the 50000 divided it by 100 times that by 13 and got 4500 yd3

so now the soil is at 9 so i need to get the 4 percent back up so i yet again got 50000 yd3 and divided by 100 and times it by 9 to get 1500 yd3 to then minus my 1500 and 4500 yd3 and got 3000 yd3 i hope it is right.

Who developed the process of blueprinting?
A.
Michelangelo Buonerotti
B.
Raphael Sanzio
C.
Sir John Herschel
D.
Vitruvius

Answers

Answer: C.) John Herschel

Convenience items like liquid egg are a lot more expensive?
True
Or False

Answers

It’s true because convenience stores are more expensive so that means overall the items would be more expensive.

Answer:

True

Explanation:

It's just because of the processing

Time management is a learned behavior.
True
False

Answers

Answer:

true

Explanation:

The answer is True.

Calculate the percentage of recyclables in high socioeconomic localities.

Answers

Answer:

The percentage of recycling in high socioeconomic localities is 11.02%.

Explanation:

Since in high socioeconomic localities, 10% of paper is recycled, 12% of plastic, 1.7% of fabrics, 1.2% of rubbers, 0.9% of metals, 3.5% of glass, 33% of food wastes, 35% soil and 1.9% miscellaneous, to determine the average recycling percentage the following calculation must be performed:

(10 + 12 + 1.7 + 1.2 + 0.9 + 3.5 + 33 + 35 + 1.9) / 9 = X

99.2 / 9 = X

11.02 = X

Therefore, the percentage of recycling in high socioeconomic localities is 11.02%.

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