Consider an isotropic material subjected to a combined state of biaxial compression and simple shear, as shown in Fig. 2 and described by the stress state σij = T 0 Calculate the von Mises and Tresca yield criteria as a function of o and 7 and plot the curves in the σ- 7 plane. Calculate the values of o and 7 at which each of the yield functions intersect the σ and 7 axes. Note that your answer should not change if o positive or negative. ko 4x2 T 0 0 -ko 0 0 ka 1 T x1

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...
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Consider an isotropic material subjected to a combined state of biaxial compression and
simple shear, as shown in Fig. 2 and described by the stress state
σij =
-0
T
0
Calculate the von Mises and Tresca yield criteria as a function of σ and 7 and plot the curves
in the σ - 7 plane. Calculate the values of o and 7 at which each of the yield functions
intersect theo and 7 axes. Note that your answer should not change if o positive or negative.
ko
T 0
-ko 0
0 0
4X2 TA
ko
X1
O
Transcribed Image Text:Consider an isotropic material subjected to a combined state of biaxial compression and simple shear, as shown in Fig. 2 and described by the stress state σij = -0 T 0 Calculate the von Mises and Tresca yield criteria as a function of σ and 7 and plot the curves in the σ - 7 plane. Calculate the values of o and 7 at which each of the yield functions intersect theo and 7 axes. Note that your answer should not change if o positive or negative. ko T 0 -ko 0 0 0 4X2 TA ko X1 O
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