Analyse the statically indeterminate bar illustrated below by integrating the governing differential equation to find the axial force and displacements, applying the boundary conditions appropriately. Find the axial force and the displacement at point A. The cross section of the bar is constant with EA = 18000 kN. a = 2 m, b = 1 m, c = 4 m and d = 3 m. w = 15 kN/m, P = 18 kN. The bar is also subjected to a temperature increase at the time the load is applied. This temperature change varies linearly along the length of the bar and is T1 = 20 *C at the left hand end of the bar and T2 = 54 *C at the right hand end (the coefficient of thermal expansion at at = 1.20e-6 *C-1). The support indicated undergoes a prescribed displacement of u = 0.008 m.

Analyse the statically indeterminate bar illustrated below by integrating the governing differential equation to find the axial force and displacements, applying the boundary conditions appropriately. Find the axial force and the displacement at point A. The cross section of the bar is constant with EA = 18000 kN. a = 2 m, b = 1 m, c = 4 m and d = 3 m. w = 15 kN/m, P = 18 kN. The bar is also subjected to a temperature increase at the time the load is applied. This temperature change varies linearly along the length of the bar and is T1 = 20 C at the left hand end of the bar and T2 = 54 C at the right hand end (the coefficient of thermal expansion at at = 1.20e-6 *C-1). The support indicated undergoes a prescribed displacement of u = 0.008 m.

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

Similar questions

You may need to apply hooke's law . Simple one
A heavy spool rests on the ground at point A and against the wall at point B. Find force F required to pull the cable off the spool in the direction shown, given:Mspool = 100 kg, rI = 200 mm, rO = 460 mm, μ = 0.2 for all surfaces.
The subject is Mechanics of Deformable Bodies
Q6: A thin steel cylinder 1 m long, of 150 mm internal diameter and plate thickness of 5 mm, is subjected to an internal pressure of 7 MN/m²; the increase in volume due to the pressure is 2.36 x 106 m³. Find the values of Poisson's ratio and the modulus of rigidity. If, in addition to the internal pressure, the cylinder is subjected to a torque of 190 N.m, and axial tensile force at the ends of 650 N, determine the magnitude of the principal stresses set up in the cylinder and their directions. Assume the Elasticity modulus, E = 210 GN/m².
See the attached image1) A long rod in the shape of a circular cone is rotating with constant angular velocity c about an axis located at the left end of the rod as shown in the figure below. The bar has length L, major and minor diameters D and d, respectively, and its material has linear elastic behavior with modulus of elasticity E. The values of the problem parameters must be defined by the student a) From the balance of a differential member of the bar, derive the differential equation of balance for the bar. Solve the equation analytically to obtain the bar displacement field, U(X). Give the expression for the displacement at the free end of the member. b) Implement a computational code in MATLAB (or any other software) to solve this problem with "n" two-node bar finite elements. c) Run different simulations by increasing the number of finite elements in each simulation. At each simulation, obtain the displacement of the free end of the member. Graphically compare your results…
Solve the following problems The composite bar in the figure is made of two segments AB and BC, having a diameter of 12 mm and 8 mm respectively. The you modulus of elasticity EAB = 90 GPa and EBC= 80GPa Critically evaluate the deformation of the bar shown under the given loads. the missing force F1 325KN. F=40KN F= kN A 4m 4.2m
A four-bar mechanism is working on horizontal plane. The second link length is 0,4 m and makes an angle of 0=25 degrees with the vertical line as shown in figure. Find the torque (T) in Nm must be applied to link 2 to keep the mechanism in equilibrium against a F=132 N force acting at E on the link 3 downward (along negative y- axis) direction. Allowable tolerance for your answer of this question is relatively 3 percent. So, work precisely and clear while solving it. Do not enter any UNIT. (If the direction of the torque is CCW, just enter the value of it without any sign. If it has CW direction, enter "-" sign "negative sign" before the value such as "- 12,12".) AB=CD AD=BC=0.7 m BE=EC В TF
H= 55mm A= 40mm R1 R2 B= 55mm C= 50mm R1=13mm H P=2000 N R2= 15mm A B Figure QI: A rectangular plate with holes
We have a grounded 2 cm in diameter steel shaft which is 10 cm in length connected to a rigid surface. This shaft is subject to the stresses at the tip point as given below; • Tmean = 100 Nm, Talternating= 50 Nm, • Mmean = 30 Nm, Malternating= 40 Nm, Fmean = 4 kN, Falternating = 6 kN. This shaft has minimum properties of Sy = 800 Mpa and Sut = 1000 Mpa. Assume; Kf for bending=D1.5, Kf for tension = 1.4, and Kfs for torsion = 1.8. Using Modified Goodman criterion what can you say about the shaft? a) Does it have an infinite life?
i need the answer quickly
Consider a one-element triangular mesh shown in Figure 2. The edge AC is fixed. The edge BC is subject to lin- early varying traction normal to the edge as shown in Figure 2. Assume plane-stress conditions with thickness 1 = 1 cm and Young's modulus E = 70 GPa and Poisson's ratio v = 0.3. 150 kN/m 50 kN/m C (0,0.3) B (0.4,0.3) a) Specify the boundary condi- tions. b) Construct the stiffness matrix. A (0,0) c) Calculate the global force ma- Figure 2: Triangular element. All coordinates are in meters. trix. d) Solve for the unknown displace- ments and compute the stress at (0.1, 0.2).
Two forces are applied to a flywheel 50 cm in diameter. Each force is 500 N. The shaft is fixed to the wall using three grade 5 steel bolts. The distance between the bolts and the axis of rotation is 10 cm. (a) What moment of resistance must develop the three bolts together Answer: 250 Nm (b) What is the resistance force F of each bolt? Answer: 833.3 N (c) What is the diameter of the bolts if their factor of safety is 10? Answer: 4.14mm