
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Draw the Mohr's circles for the stress states shown in each of the following figures.

Transcribed Image Text:10 MPа
4 ksi
10 MPа
4 ksi
10 MPа
2 ksi
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- Part 2,3,4arrow_forward9-10 Determine the equivalent state of stress on an element if it is oriented 30° clockwise from the element shown. Use the stress-transformation equations. 300 psi 950 psiarrow_forwardPrincipal stress: 01,2 Ox+0y tan20, = Txy 2 (Ox-0y)/2 2 maximum in-plane shear stress: Tmax *) : + Txy? tan20s -(0x-0y)/2 Ox+0y σανg Txy 2 The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your work. 57 MPa 28 MPa 42 MPaarrow_forward
- 19 The general formula of thermal stress is c oefficient of linear expansion multiplied b y change in temperature multiplied by mo dulus of rigidity.( 20 True False The area coefficient of thermal expansion is equal to two times the value of linear c oefficient of expansion.( O True O Falsearrow_forwardPlease use Mohr's Circle.arrow_forward7-3. For the given state of stress shown, determine: (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine thecorresponding orientation of the element with respect to the element shown, and sketch the results oneach element.arrow_forward
- Figure Q4 shows a piece of triangular thin plate ABC with thickness 5 mm. A linear pressure as shown in the figure is being applied to edge AB with maximum intensity of 100 kN/m² at the middle of edge AB. The plate is made from stainless steel, with a Young's modulus of 200 GPa and Poisson's ratio of 0.3. The deformations in the plate are to be obtained. For such purposes, the finite element method is being employed. (a) (b) (c) (d) (e) State the type of problem involved in this case (to determine the stiffness matrix to be used). Model this problem optimally using the least number of orthogonal triangular elements only. Label the nodes and elements and indicate clearly the status of all the relevant degrees-of- freedom in this model. Set up the appropriate system of simultaneous equations and solve for the unknown displacements. Displacements at point T. Without any calculation, explain on the value of strain at points S and T.arrow_forward1. The stress condition on a two-dimensional infinitesimal material element is shown in Fig. 1 Fig. 1 60 MPа A 50 MPа В 30 MPа A. Describe the state of stress on: (i) Face A (ii) Face B B. State the sign convention for stress components on faces A and B in the: (i) Physical-space (ii) Mohr-Circle-space C. Draw the Mohr circle for the stress element in Fig. 1arrow_forwardPlease do part 2 and 3 thank youarrow_forward
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