Q. Nos. 9-16 (Figures P12.25 to P12.32): Consider a point in a structural member that is subjected to plane stress. The normal and shear stresses acting on horizontal and vertical planes at the point are shown. (a) Determine using stress transformation equations, principal stresses and maximum in-plane shear stresses acting at the point. Show these stresses on an appropriate rotated sketch labelled with the values of stresses and the inclination angle. (b) Determine using Mohr's stress circle, principal stresses and maximum in-plane shear stresses acting at the point. Compare the results with the analytical method from part (a). 10 MP 22 MPa 20 ksi 10 ksi 26 MPa 28 MPa 15 ksi 26 ksi 30 MPa 16 MPa 60 ksi FIGURE P12.25 FIGURE P12.26 FIGURE P12.27 FIGURE P12.28

Q. Nos. 9-16 (Figures P12.25 to P12.32): Consider a point in a structural member that is subjected to plane stress. The normal and shear stresses acting on horizontal and vertical planes at the point are shown. (a) Determine using stress transformation equations, principal stresses and maximum in-plane shear stresses acting at the point. Show these stresses on an appropriate rotated sketch labelled with the values of stresses and the inclination angle. (b) Determine using Mohr's stress circle, principal stresses and maximum in-plane shear stresses acting at the point. Compare the results with the analytical method from part (a). 10 MP 22 MPa 20 ksi 10 ksi 26 MPa 28 MPa 15 ksi 26 ksi 30 MPa 16 MPa 60 ksi FIGURE P12.25 FIGURE P12.26 FIGURE P12.27 FIGURE P12.28

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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Planar Stresses

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Q. Nos. 9-16 (Figures P12.25 to P12.32): Consider a point in a structural member that is
subjected to plane stress. The normal and shear stresses acting on horizontal and vertical planes at the
point are shown.
(a) Determine using stress transformation equations, principal stresses and maximum in-plane shear
stresses acting at the point. Show these stresses on an appropriate rotated sketch labelled with the
values of stresses and the inclination angle.
(b) Determine using Mohr's stress circle, principal stresses and maximum in-plane shear stresses
acting at the point. Compare the results with the analytical method from part (a).
10 MPa
22 MPa
20 ksi
10 ksi
26 MPa
28 MPa
15 ksi
26 ksi
30 MPa
16 MPa
ksi
60 ksi
FIGURE P12.25
FIGURE P12.26
FIGURE P12.27
FIGURE P12.28
85 MPa
45 MPa
90 MPa
I5 ksi
30 MPa
10 MPa
114 MPa
14 ksi
35 MPa
16 MPa
66 MPa
35 ksi
FIGURE P12.29
FIGURE P12.30
FIGURE P12.31
FIGURE P12.32

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