Explain the term ‘shape function’. Why polynomial terms are preferred for shape functions in finite element method?

Q: An automobile is modeled as a single-degree-of-freedom system vibrating in the vertical direction.…

A: Given Data The velocity of the automobile is:V=60 km/hr The natural frequency of the system is:fn=2…

Q: Two identical masses attached to identical springs with spring constant 33 N/m are coupled by a…

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Q: In the following figure the long tube is filled with water at 20°C. When valve A is closed, P₁ – P₂…

A: Givenwhen valve is closed P1-P2=75 kPawhen valve is openQ=500 m3/h=500 3600m3/s=0.1388…

Q: Please use Maxwell model and Voigt model to express the viscoelastic behavior of three elements as…

A: Solution: Given Data:   To Find: Viscoelastic model of the given elements.

Q: Question (3): At a temperature of 5°C, 3 mm gap exists between two polymer bars and rigid support,…

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Q: A river barge, whose cross section is approximately rectangular, carries a load of grain. The barge…

A: Given Data- L=90ft Width=28ft Depth of submerged =5ft we have to find unloaded weight of barge in…

Q: 1. Find the transfer function. A = [], B = [].C = [0_1], D = F2] 17- Y(s) =C[sI-A] B+D F = Ar + Bu y…

A: `Given Data: A=0-23-1B=10C=01D=-2

Q: determine the displacements x1(t) and x2(t) in the figure consider: F1 = 10.cos2t m1 = 1,7kg m2 =…

A: Given: To find: Determine x1(t) and x2(t)

Q: Learning Goal: A piston is driven by a crankshaft as shown. The crank arm (member AB) has a length…

A: To find: The rotational speed of the crankshaft. Given: The length of the crankshaft is r1=0.4 in.…

Q: Using dimensional analysis techniques, develop two equations for power ( in terms of linear velocity…

A: following is the solution to the above problem-

Q: Use the following air properties to solve the problem: p = 1.2kg/m³, μ = 1.8 10-5kg/ms, C₂ = 1007…

A: Given: Air Properties Air temperature T∞=20oC Average speed V∞=1m/s Heat flux q˙s=200 W/m2 To…

Q: Problem 1 What would be the most suitable strip to get the area moment of inertia of the y axis?…

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Q: Determine the magnitudes of all pin reactions for the frame loaded as shown. Assume F = 630 N, a =…

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Q: How much work is done by the gas if the ratio between its specific heat in constant volume and the…

A: Write the given data. Pinitial=6 PaVinitial=0.01 m3Pfinal=2 PaVfinal=0.04 m3cVR=1.5

Q: 2-b Hot exhaust gases, which enter a finned-tube, cross-flow heat exchanger at 300 °C and leave at…

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Q: Learning Goal: To understand and apply the formula T = Ia to rigid objects rotating about a fixed…

A: Given data:- Mass of object at left side= m1 Mass of object at right side =m2 Mass of the bar =mbar…

Q: Consider the following ternary diagram. The diagram is drawn to scale and the lengths are measured…

A: To find: The mass of S produced. Given: The mass of Q is mQ=403 kg. The ratio of B and Q required to…

Q: List three different types of adaptive suspension and explain how they operate

A: There are three types of adaptive suspension. All three are fitted with dampers (also known as shock…

Q: What Law can be verified using the Force Table experiment? 1-Newton's 2nd Law of motion 2-Newton's…

A: The force table method is used to determine the equilibrant forces of one or more known forces and…

Q: The 220-N force acting in a vertical plane parallel to the yz-plane is applied to the 110-mm-long…

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Q: decimal point, and proper B 0 Al 0.5 m ω, α

A: Given system,

Q: ltiple loads 1 m 000 B E 1m √2 m C 10 kN 10 kN 21

A:

Q: A circular log floating in water is neutrally buoyant. Our ancestors found that by having half a log…

A: Given: The interior of the semi circular log is made hollow so definitely center of gravity will…

Q: You've got some spare 1050 steel that you decide to use to make a hand tool using your friend's…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: How can we increase the efficiency of the Rankine cycle? Discuss one method where the changes to be…

A: To increase: The efficiency of the Rankine cycle. Concept used: The Rankine cycle is an ideal…

Q: Nitrogen at 3.5 bar 200°C expands reversibly in a perfectly thermally insulated cylinder from 0.03…

A: For Nitrogen M=28 kg/mol so, Characteristic gas constant will be given by, R=RuM=8.31428=0.2969…

Q: The radiator cap of an automobile engine is designed to maintain a pressure of approximately 15…

A:

Q: free hand sketch the isometric view, choose the appropiate scale. given: front and right view.

A: Given Front and right view

Q: Drag, Cyclist. A cyclist in an upright commuter position can generate sufficient power to achieve a…

A: Given data: maximum speed with no wind V = 10 m/s Total mass of the rider and bike = 100 kg Rolling…

Q: A fixed crane has a mass of 80 kg and is used to lift a 200 kg crate. It is held in place by a pin…

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Q: In a divergent nozzle the flow conditions are supersonic. As the flow progresses the velocity of…

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Q: 4x4 In a vertical pipe conveying oil of s= 0.7, two pressure gauges have been installed at A and B…

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Q: An 78 kg skier moves down a mountain on a 22 degree slope. Air drag and the wet snow provide a…

A: Given data:-  mass of skier= 78 kg  slope of mountain = 22° A resistive force =120 N, push force= 30…

Q: (1) A four-cylinder, two-stroke cycle diesel engine with 10.9 cm bore and 12.6 cm stroke produces 88…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: saturated steam enters the turbine as 100 cº Vapour at 66 MPa and Sahored liquidenters the pump at…

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Q: Find the specific enthalpy, h, of water at 500kpa, s= 3.65 kJ/kg*K

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Q: A mild steel shaft of 50mm diameter is subjected to a bending moment of 1.9kNm. If the yield point…

A: Introduction The maximum shear stress hypothesis states that a material will fail or yield if its…

Q: 2.15 Air undergoes two processes in series! Process 1-2: polytropic compression, with n=1.3, from…

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Q: A patient receives IV fluid through a needle of radius 0.200 mm and length 2.0 cm. The density of…

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Q: M241 cw9_1 Name: True Velocity of a Jet A jet is flying through a wind that is blowing with a speed…

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Q: 3. FBD for AK to determine the internal forces on K: forces/reactions on the AK; a. There are b. Sum…

A: In this problem, it is asking for question (3) so we will provide the solution for question (3)…

Q: A person plays tug-of-war with a dog, where the person holds one end of a rope in their hand and the…

A: Find Draw a free-body diagram of the dog.

Q: Define the term "low-cost air conditioning". State the ways in which it can be achieved.

A: The definition of the "low cost air conditioning" is given as under,

Q: 77777 Aluminum 1 mm diameter 35 cm Beam -Aluminum I=3.5 x 10-8 m4 Cable 30 kg Figure Q1(a) 30 cm 2.5…

A: Given system,

Q: B θ 1 A 0.5 m ω, α

A: Given system,

Q: 5. In the figure shown, the 0.3-m by 0.3-m square plate had a triangular notch punched off the left…

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Q: GE Aerospace group of companies have three different facilities layouts, known as fixed-position…

A: Process Layout: The definition of the process layout is created by grouping employees based on…

Q: 2. The equations of motion of this system are; 12Y+7Y+24Y-62-122-0 62"+62+122-6Y-12Y=f(t)…

A: Given,

Q: 2. A 50-g mass is suspended by a spring attached to the ceiling, such that when it is at rest, it is…

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Q: 26. The compression ratio of a compression-ignition engine is 14 to 1. The diameter of the cylinder…

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Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.