6. Regress the data of strain vs strain to a second order polynomial Table 1. Strain Stress (%) (MPa) 0.183 306 0.36 612 0.5324 917 0.702 1223 0.867 1529 1.0244 1835 1.1774 2140 1.329 2446 1.479 2752 1.5 2767 1.56 2896 The data is regressed to a = k, +k,T+k,T²

6. Regress the data of strain vs strain to a second order polynomial Table 1. Strain Stress (%) (MPa) 0.183 306 0.36 612 0.5324 917 0.702 1223 0.867 1529 1.0244 1835 1.1774 2140 1.329 2446 1.479 2752 1.5 2767 1.56 2896 The data is regressed to a = k, +k,T+k,T²

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 5 MPa in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the stresses On, ot, and the magnitude of Tnt 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). y σ n Answer: (a) ox- MPa Oy- B Txy- (b) On- Ot- Tnt - MPa MPa MPa MPa MPa X
The strain components ɛx, Ey, and yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 460 µɛ, ɛ, = -970 µɛ, Yxy = -780 µrad. Enter the angle such that -45°s0,s +45°.
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 7 MPa in size. (a) Determine the stresses ox, Oy, and the magnitude of Tyy and show them on a stress element. (b) Determine the stresses On, O, and the magnitude of Tnt 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). y
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 13 ksi in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
For the stress state listed below: Ox = 85 MPa Oy = -62 MPa Txy = -28 MPa 1. Use software of your choice (Excel, Matlab, etc.) and plot Mohr's circle. 2. Using a protractor, or graphically using computer code, measure the rotations necessary for the principal stress plane and the plane of maximum shear.
The strain components ɛx, ɛy, and yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µe, ɛy = 430 µe, Vay = 230 urad. Enter the angle such that -45°s ®ps+45°. Answer: Ep1 = με Ep2 = %3D Ymax in-plane prad Yabsolute max. prad 0, =
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 11 MPa in size. (a) Determine the stresses Ox, Oy, and the magnitude of T,xyand show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
The state of strain at the point has components of € = 300 (10-6), y = -260 (10-6), and Yay = 460 (10–6). Figure
6. An initially rectangular element of material is deformed as shown in the figure (note that the shearing strain is greatly exaggerated). Calculate the normal strain Ex and Ey, and the shear strain for the element. 1.2 x 10-in. Undeformed Deformed -1.5x 10-in. 0.2 in. 0.25 in. 0.7x 10 in.- 1.8 x 10 in.
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 4 MPa in size. (a) Determine the stresses o, Oy, and the magnitude of Tyand show them on a stress element. (b) Determine the stresses on, Ot, and the magnitude of Tnt 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 thex and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). Answer: МPа (a) ox = MPa Oy = MPа Ty = MPa ( b) ση MPa Ot = MPа Tnt =
A rectangular piece of material is subjected to tensile stresses of 83 and 65 N/mm on mutually perpendicular faces. Find the strain in the direction of each stress and in the direction perpendicular to both stresses. Determine also the maximum shear strain in the plane of the stresses, the maximum shear stress and their directions. Take E=200 000 N/mm² and v=0.3. Ans. 3.18×10 4, 2.01×10-4, –2.22×10-4, 7max=1.17x10-4, Tmax=9.0 N/mm² at 45° to the direction of the given stresses.
The strain components Ex, Ey, and yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µɛ, ɛ, = 290 µɛ, yxy = 210 prad. Enter the angle such that -45° s 0, s+45°. Answer: Ep1 = με Ep2 = Ymax in-plane = prad Yabsolute max. prad %3D