2. A steel plate (dimension in mm) is loaded and supported as shown in Figure 2. Assumethat a downward settlement of 0.01 mm occurs at support 2. Using the finite elementmethod with two 3-noded triangular elements, determine the horizontal and verticaldisplacements of the plate at the right top corner.Young's modulus E = 200GPAPoisson's ratio v = 0.35kNPlate thickness t= 5mm0.03m0.01 m0.05 mFigure 2Note: if the connectivity of element 1 is 1-2-3 and element 2 is 1-3-4, the stiffnessmatrices of elements 1 and 2 can be calculated as (using the units m and N):0.1100.000 -0.1100.1650.000 -0.1650.0000.038 0.192-0.038 -0.1920.000[K]] = 10°x-0.1100.1921.071-0.357-0.9620.1650.165 -0.038 -0.3572.7860.192 -2.7470.000-0.192-0.9620.1920.9620.000-0.1650.0000.165-2.7470.0002.7470.4670.238-0.220-0.192-0.247-0.0460.2380.967-0.165-0.077-0.073 -0.890[K2] = 10° x-0.220 -0.1650.3300.000-0.1100.165-0.192 -0.0770.0000.1150.192 -0.038-0.247-0.073-0.1100.1920.357-0.119-0.046-0.8900.165-0.038-0.1190.929)

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Answered: 2. A steel plate (dimension in mm) is…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Using the finite element method, the nodal displacements for the problem were given in the last problem. Recall cross-sectional area is 100 in2, the Youngs modulus is 200 GPa, and the yield stress is 350 MPa. Which answer best describes the stress in Element 1 in units of MPa?
An element in uniaxial stress is subjected totensile stresses σx = 57 MPa, as shown in the figure.Using Mohr’s circle, determine the following.(a) The stresses acting on an element oriented at anangle θ =-33° from the x axis (minus meansclockwise).(b) The maximum shear stresses and associatednormal stresses.Show all results on sketches of properly orientedelements.
Which among the following is not a form of the transverse shear stress formula? Select one: O a. VAy* T = Ob. Vy* T = where y* is the distance of the centroid of the area above the fiber of interest to the neutral axis VQ Ar?t O c. where r is the radius of gyration T= VQ T = It d.
Olny need you to draw and label the element and nodes. Also identify the unconstrained and contrained degree of freedom
The state of stress at a point is shown on the element. Suppose that σ = 14 ksi, oy = 7 ksi and 9 ksi in the directions shown. Txy ox = 01, 02 = σy Өрт, өрг P2 Part A Determine the principal stresses. Express your answers in kilopounds per squared inch to three significant figures separated by a comma. ANSWER: = Txy O x Q Tap image to zoom ksi Part B Specify the orientation of the element. Express your answers in degrees to three significant figures separated by a comma. ANSWER:
For the plane truss shown, determine the nodal displacements and member force of the diagonal members. E169 GPa. Cross-sectional areas are 300 mm? for diagonal members and 400 mm? for the rests. Diagonal member is subjected to a temperature increase of 40°C while diagonal D is in fabrication error of 6 mm too short. B=14.6x10*PC. You can use EXCEL or your matrix calculator in determining the nodal displacements. 60 KN KN +75 KN 4 m Ad 3m
PLEASE SHOW COMPLETE AND STEP BY STEP SOLUTION
Mohr's cirde is shown for a point in a physical object that is subjected to plane stress. Each grid square is 14 MPa in size (a) Determine the stresses o, a, and the magnitude of T and show them on a stress element. (b) Determine the stresses o, o, and the magnitude of T and show them on a stress element that is properly rotated with respect to thexy element The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (Le, either dockwise or counterdockwise). Answer: (a) o,. MPa MPa MPa (b) a. MPa MPa Tee- MPa
Solve for the axial displacement and stress in the tapered bar shown in Figure P3-12 using one and then two constant-area elements. Evaluate the area at the center of each element length. Use that area for each element. Let Ao = 2 in2 ,L = 20 in., E = 1O %3D 106 psi, and P = 1000 lb. Compare your finite %3D element solutions with the exact solution. A(2) = Ao (1 + ) L. Figure P3-12
Determine the equivalent state of stress on an element if it is oriented 50° counterclockwise from the element shown. Assume that σ = -13 ksi and Txy = -19 ksi. Solve the problem using ox Mohr's circle. σχ F Part A Determine the normal stress ox'. Express your answer in kilopounds per square inch to three significant figures. ANSWER: = Tap image to zoom ksi Part B Determine the normal stress Øy'. Express your answer in kilopounds per square inch to three significant figures. ANSWER:
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 21 MPa in size. (a) Determine the stresses o, a, and the magnitude of Tyand show them on a stress element. (b) Determine the stresses O, o, and the magnitude of Tg and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). Answer: (a)o.. MPa MPa MPa (b) On- MPa MPa Tre MPa Save for Later Attempts: 0 of 1 used Submit Answer
PROBLEM SET 1 A rigid bar AB is hinged to a vertical wall and supported horizontally by a tie bar CD as shown in the figure, The tie bar has a cross sectional area A=0.10in² and its allowable stress in tension is 20,000 psi. Find the safe value of the magnitude of the load P and the corresponding vertical deflection AB of point B. The tie-bar has a modulus of elasticity of E=30x106 psi. P B C 4ft D A 3ft

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