Question

Calibri rWrap Text General - 10 TT 19 Copy -A A == R Normal Conditional format as Check Cell Formatting Table Bad Explanatory Good Follow B U Merge Center S. Alignment Number Styles M2 - S T U V W X Y Z E A = you entered/2pts > = you entered/2pts > O P Q R Shear stress for new x'y (prime direction Txy (MPa) Normal stress in new y(prime) direction dy (MPa) 14 pts total - You entered/2pts > - You entered/2pts You entered/2pts - You entered/2pts: 9.4-3. Determine for the Mohr's circle: a) center, b) radius, old) matimum & minimum principal stresses On & O c ) quadrant corresponding to the given (G ) location in the circle. D) Finally, determine the actual angle of the double angle) , to reach P1 (the max principal stress) and whether this involves clockwise rotation (letter - CW) counter-clockwise (letter b =CCW) rotation. Center of Mohr's circle (MPa) Given: 0.- 45 MPa 0.54 MPa Ty - 29 MPa Radius of Mohr's circle (MPa) note minus sign note minds sign note mission Mas principal stress p (MPa) 54 MPa Min principal stress p (MPa) - You entered/2pts 4 45 MP 29 MPa You entered/2s> You entered/7pts Quadrant for(0, 1.) location [Enter ONE number: 1 or 2 or 3 or 4) -0, to reach P1 (max principal stress), in deg - rotation direction Center ONE lettera CW or b - CCW)

Answer 1

Please find the solution below:

Given: - = - 45 MPa I mpa !! 29 mpa 54 MPa 45 MPa As me ft + 29 mpa 22 Solutions as centers are not circle: center = Tang = de tony = -AS-SA Tatry Center = -45 - 54 ava = – 49.5 MPa Answer Radices of Mohr's circle:- • Radicus common threat - ten (-45454)*+ (-29 - permet = 29-347 mpa I Answer = 29.347 MPa Answer

ch anem principal stress (Tp.) : е = Coss + ». = -A9.5 + 99.347 a = - 200153 mpa ( Answer de Minimum principal stress (ope) : PS = = Targ - Cnox - 49.5 - 29.347 - - 78.847 Mpa Pg Answer es Quadrant corresponding to the given loan Cay) location in the circle: Quadrant (- 45,29) corresponding to (tx Cay) is and Quadrant. mm Also, suadront corresponding to (Ty, Guy) =A (-54, -29) is 3rd Quadranto

1 1 9*1-99) tonn -A5 + 54 = o tana ( 341-392 :: COP = - 40.59° Op = 40.59 Clockwise

Thank You!