H.W1. Consider a two degree of freedom bar elements as shown in figure. Using finiteelement method to formulate the equilibrium equation of it. If the crosssectional area is 12 mm and E=200 GN/m².20KN+30KN15KN300 *600-+ 350All Dimension in mm2. Consider a two degree of freedom bar element as shown in figure. Using finiteelement method to formulate the equilibrium equation of it, and then estimatethe stress distributions. If Esteel-200 GN/m, Ecopper 110GN/m and EAL= 120GN/m?.d=3SteelALСоpper20KN- 30KN→15KN300 * 200 - 400 * 350All Dimension in mm

Answered: Image /qna-images/answer/eee050a1-8745-478b-8c58-88192593e7c9.jpg

H.W 1. Consider a two degree of freedom bar elements as shown in figure. Using finite element method to formulate the equilibrium equation of it. If the cross sectional area is 12 mm and E=200 GN/m². 20KN 15KN * 350 -30KN 300+ 600- All Dimension in mm

H.W 1. Consider a two degree of freedom bar elements as shown in figure. Using finite element method to formulate the equilibrium equation of it. If the cross sectional area is 12 mm and E=200 GN/m². 20KN 15KN * 350 -30KN 300+ 600- All Dimension in mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.10P: A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in...

See similar textbooks

Related questions

Q: In the following unit cell, which vector represents the [001 direction? A -y B Select one: О а. В O…

Q: A hoop (ring) is rolling down without slipping an inclined plane, whose angle is 0 at the base. The…

A: Answer: The correct answer is option (b).

Q: Problem 2 Design of Shear Members A cantilever beam has a span of 3 m. The beam carries a uniform…

Q: A tall glass cylinder is filled with a layer of water 18.0 cm deep, and floating on top of the…

Q: The disk mounted on the axis "A" is in equilibrium under the action of a moment, M, and a braking…

A: Moment applied on the disc=M Radius of the disk=R Hence force required to brake: →F=MR…

Q: The angel between OS and the horizontal is 160 degrees. please draw the velocity diagram and the…

A: Given: speed of the crank OS→N=180 rpm Hence rotational speed of the crank…

Q: Q6 : An ideal Diesel engine has a diameter of (15 cm) and stroke (20 cm) . The clearance volume is…

Q: A cylindrical shaft made of steel of yield strength 700 MPa is subjected to static loads consisting…

Q: Write shear and moment equations and draw the shear and bending-moment diagrams for the beam. Given:…

Q: A crawler crane will be located on a temporary work platform. The total resultant vertical load due…

A: To find the maximum angle of the wrecking ball going to be at the maximum height at which all…

Q: 4. Calculate the heat loss per linear foot from a 10.3 in. nominal pipe (outside diameter=10.75 in.)…

A: Heat transfer in hollow cylinder: q˙= ∆TR Where ∆T →Temperature difference R → Thermal resistance…

Q: Problem 9: Find the Slope and deflection at B and C for a cantilever beam of L subjected to a load…

Q: You are designing a storage container for COVID vaccine. The volume of the storage container will be…

A: Given dataLength of cylinder = 4 mDiameter of cylinder = 56.42 cm = 0.5642 mSurface Temperature =…

Q: A reheater cycle with two stages of reheating is executed with steam expanding initially from 20.356…

A: h1(at 20.356MPa , 540°C)=3362.44KJ/Kgs1=6.296kJ/kgnow S1=S2(At 3.2356Mpa)=6.296KJ/KgK…

Q: O 1f the allouwable 6tresses are St = 20 Mpu and 6c = 80M Pa, cletermine the value ofx such that w…

Q: 9. The thin ( 3 mm ) thick plastic panel shown in the figure is lowered from a ship to a Поог. The…

Q: x(t) x,(t) K2 K, M M2 B, B,

Q: Find the torque on bottom plate. h Fluid with viscosity u Fixed plate

A: Using Linear variation of shear stress, first calculate the shear stress on the strip

Q: Bar AB rotates as shown with an angular velocity equal to 1O rad/s. Assume AB ha a length of 500mm…

Q: A homogeneous 950 kg bar AB is supported at either end by a cable as shown in the figure below.…

Q: The cylindrical steel column has an outer diameter of 4 in. and inner diameter of 3.5 in. The column…

Q: A 200 mm square structural tubing 8 m long is used as a column with the following properties: A =…

A: The length of tube, L = 8 m The cross-section area of tube, A = 9300 mm^2 The elastic modulus, E =…

Q: Read the questions carefully and answer with complete solution and units. Use the steam tables…

Q: A single jet Pelton turbine operates a 10,000 kW generator. The generator efficiency is 93%, turbine…

A: Given that, Generator power, Pg=1000 kW ηg=93 %=0.93, ηh=86 %00.86,H=350 m, Cv=0.98, Speed ratio,…

Q: the shearing stress caused by a torque of 700 N m if dimension a =75 339. A tube 3 mm thick has the…

Q: Determine the phase and required properties in the following. Indicate the steam table number and…

A: We must identify the phase and needed parameters in the following and specify the steam table number…

Q: A 5 gram cork floats in a glass of water. It floats such that of its total volume is above the level…

A: Given: mass of water = 5 g

Q: The discharge of water through a horizontal pipe is 0-25 m'/s. Its diameter, which is 200 mm,…

A: Given dataDischarge = 0.25 m3/sDiameter of pipe 1 = D1 = 200 mm = 0.2 mDiameter of piper 2 = D2 =…

Q: An electric motor running at 600 rpm is used to drive a rock crushing machine with a design power of…

Q: A 70 lb-bag of rice is being pulled by a person by applying a force F at an angle e. The force…

A: Given data Mass of bag of rice = 70 lbApplied force = FForce is applied at an angle θCoefficient of…

Q: the rod diameter is 3 cm, find i) Hydraulic pressure during the extending stroke. ii) Piston…

A: Dear Student, As per guidelines I am allowed to solve first three sub Questions Only ( in case of…

Q: kinelic enorgy ol tro hoop it gium y: the hoop. Then, Cakulale the 1oling down without slipping an…

A: As per the guidelines we are subjected to solve only one question at a time please repost the same…

Q: 6-7. Water flows through the hose with a velocity of 4 m/s. Determine the force that the water…

Q: A material is deformed under a pure shear stress as shown in the following figure. Calculate the…

Q: What is the hydraulic fluid pou O A) -21° C O B) -31° C C) -40° C

A: Given Data : Operating Temperature(T)=-200C

Q: Prove that mep = Pire (ra(Y-1) Y-i r -1) +yrpe-1)}-(pp"- 1)] %3D ere: Pis the initial pressure of…

Q: E.

A: Given Gear system To find Front view

Q: Water at 60°F flows through the orifice meter shown in the figure below such that h = 1.1 ft withd =…

Q: QUESTION 4 Length of the culvert is a factor that affects flow through a culvert O True O False

A: For underway steam carrying culvert will be used. It's a tunnel structure.

Q: What is Equilibrium of a Rigid Body? Give an example.

Q: 17. Evaluate | (2r – þx + 1 )dx . А) 5 в) -3 C) -5 D) 3

A: Answer: The correct answer is option (C) i.e. -5.

Q: Define the cylinder force when the K = 550 kg and the weight of the boom is 25 kg. position of…

A: The force in the cylinder is 25234.224 N.

Q: Air enters a multistage compressor of a jet engine at 0.65 atm and 275 K with a flow rate of 63.5…

Q: 15. A test tube for boiling water has a diameter of 25 mm. Water at a rate of 1000 kg/h enters the…

A: The enthalpy of steam during phase change a the given pressure and temperature can be calculated…

Q: 6 kN 30° 130° 1.5 m A 1.5 m-1.5 m- 4 kN

Q: A top is spun on the floor such that the top precesses around in a circular motion. The top has a…

A: Given; rcm=ll=0.03 mm=0.1 kgω=250 rad/s

Q: A 30 ft long beam carries a 3000 lb load placed 13 ft from the left reaction and a 300 lb/ft…

A: Shear and bending moment diagrams are analytical tools that are used in conjunction with structural…

Q: what is the COP of this refrigeration system.

A: Condenser temperature, Tc=40oCEvaporator 1 and 2 temperature, Te,1,2=-10oCEvaporator 3 temperature,…

Q: The circular punch B exerts a force of P = 1.7 kN on the top of the plate A. (Figure 1) Figure <) 1…

Q: 6-123. Seyment A of the compoite beam is made from 2014-T6 aluminum aloy and segment Bs A36 steel.…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

H.W
1. Consider a two degree of freedom bar elements as shown in figure. Using finite
element method to formulate the equilibrium equation of it. If the cross
sectional area is 12 mm and E=200 GN/m².
20KN
+30KN
15KN
300 *
600-
+ 350
All Dimension in mm
2. Consider a two degree of freedom bar element as shown in figure. Using finite
element method to formulate the equilibrium equation of it, and then estimate
the stress distributions. If Esteel-200 GN/m, Ecopper 110GN/m and EAL= 120
GN/m?.
d=3
Steel
AL
Соpper
20KN
- 30KN
→15KN
300 * 200 - 400 * 350
All Dimension in mm

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-Answers for problem-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

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

A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?
A prismatic bar in tension has a length L = 2.0 m and cross-sectional area A =249 mn2. The material of the bar has the stress-strain curve shown in the figure. Determi ne t he elongation 5 of the bar for each of the following axial loads: P = 10 kN, 20 kN, 30 kN, 40 kN. and 45 kN. From these results, plot a diagram of load P versus elongation 5 (load-displacement diagram).
A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
A non prism elk- bar ABC made up of segments AB(length £,, cross-sectional area .Inland BC (length i-,, cross-sectional area A2) is fixed at end A and free al end C (see figure). The modulus of elasticity of the bar is E. A small gap of d intension s exists between the end of the bar and an elastic spring of length Lj and spring constant k3. If bar ABC only (not tin? spring} is subjected to temperature increase A3", determine the following. (a) Write an expression for reaction forces R^ and RDif the elongation of /I BC exceeds gap length s. (b) Find expressions for the displacements of points B and C if the elongation of ABC exceeds gap length s.
Repeat the previous problem using sx= 12 MPa.
A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).
Solve the preceding problem for an aluminum plate with h = 10 in.. i = 0.75 in., E = 10,600 ksi, v = 0.33. P = 96 kips. Pt,. = 24 kips. and V =18 kips. For part (b) of Problem 7.5-12, assume that the required strain energy stored is 640 in.-lb. In part (c). the change in volume cannot exceed 0.05%.
A copper rod of length L = 18.0 in. is to be twisted by torques T (see figure) until the angle of rotation between the ends of the rod is 3.0°. (a) If the allowable shear strain in the copper is 0.0006 rad, what is the maximum permissible diameter of the rod? (b) If the rod diameter is 0.5 in., what is the minimum permissible length of the rod?
A cylinder filled with oil is under pressure from a piston, as shown in the figure. The diameter d of the piston is 1,80 in. and the compressive force F is 3500 lb. The maximum allowable shear stress t^^, in the wall of the cylinder is 5500 psi. What is the minimum permissible thickness t„± of the cylinder wall? (Sec figure
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
On the surface of a structural component in a space vehicle, the strains arc monitored by means of three strain gages arranged as shown in the figure. During a certain maneuver, the following strains were recorded: e, = 1100 X l0_6, 6h = 200 X lO_6, and e = 200 X 10-6. Determine the principal strains and principal stresses in the material. which is a magnesium alloy for which E = 6000 ksi and v = 0.35. Show the princ ipal strains and principal stresses on sketches of properly oriented elements.
A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof the bar?