Application of Mohr's Circle

Mohr's Circle, Thin-Walled Pressure Vessels & General State of Plane Stress 53 Application of Mohr's Circle 5.31 Drawing & Using Mohr's Circle Example every pt on the circle shows the stress state for an area clement in a partiwlar direchon τ سماء ماء \[\tau_{xy}\] \[\sigma_{w}\] \[\sigma_{3}\] \[\mathfrak{F}_{x}\] \[tan~2\theta\rho_{1}=\frac{\tau_{m,g}}{(\sigma_{k}-\sigma_{g})/4}\] Le convention if the shearing stress acting on a fau is in a clockewise direction, plot it above the o axis, if counterclockwise, plot below & aris to provided this sign convention is used, the directions of the rotations are identical in the physical Space & the stress space 49 ① \[\theta_{k},\] \[\sigma_{2}\] \[\sigma_{1}\] 5.3.2 Characteristics of Mohr's Circle. \[\sigma_{avy}=\frac{\sigma_{x}+\delta_{y}}{2}\] Principal Stresses Y Try \[\mathfrak{x}\] tan 20p (6x12 \[\delta_{1}\] \[\delta_{x}\] 6 dy \[\sigma_{1,2}=\frac{\sigma_{2}+\sigma_{2}}{2}=\sqrt{(\frac{\sigma_{2}-\sigma_{2}}{2})^{2}\cdot\tau\sigma_{2}^{2}}\] X \[R=\sqrt{(\frac{\sigma_{x}-5_{y}}{2})^{2}+\tau_{2y}^{2}}\] \[\mathcal{L}_{max}\] Farg Radius A 46