Question

I need part b please

40 M 45 MP 50 MPA - For the given state of stress, Part A: determine analytically (using stress transformation equations): 1) the principal planes. 2) the principal stresses. 3) Sketch the stress element for the above condition 4) the orientation of the planes of maximum in-plane shearing stress, 5) the maximum in-plane shearing stress and the corresponding normal stress. 6) Sketch the stress element for the above condition Part B: Only use Mohr's circle to determine 1) the principal planes and the principal stresses. 2) the orientation of the planes of maximum in-plane shearing stress, 3) the maximum in-plane shearing stress and the corresponding normal stress. 4) Write down briefly the steps of drawing your Mohr's circle. (Show all relevant calculations) Points 50 Distribution Part A Calculation of all principal stresses and planes: 5 Sketch of the above element: 5 All required calculations for maximum shear stress criteria:5 Sketch of the above element: 5 Part B Drawing of the Mohr's Circle: 10 Determination of stresses and orientation: 15 Writing the steps of drawing: 5

Answer 1

40 mpa 0 Given that Eny = u5 mpa Scale : Go mpa → ox= -60 mpa tot = -6cm May by=-40 mpazog=-4cm = u5 MPa =4.5cm Kay Scale lcm = 10 mea - AP = BQ. ·ñ FCGargo Prox) 202 L 0(0,0) E (630) po Tuttattat Conston Now on o- anis bat locate a point a at a distana OA =-GRA cm from a &B at a distance OB= - 4cm from o.

Now from A&B draw a perpendicolar's of length AP=BQ = Eny = 4.5cm. Connect the points P & Q. The line PQ in intersect the o-anis at point c. ~ Now, with s as Centre & AP (BQ as a radius doraw the Cindle Principal stresses. oman = 0 = OD =..0. nom. fou) Cio) o z-u mpa - Compressive sugiess Smin 02 = OF = 9.7 cm - (97) Cro) Ja - 97 mpal - Comparessive Stress Orientation of principal planes <PCD 201= 102 Oje gin' - measure in A.CW direction. UDCE

2 O2 = 180+20, 20,3 180+ 102 das ini 2) manimum si in-plane shear stress. Eman = CF = 5.7 cm = 57 mpa 2 Orientation id=194° $ - 97 2) Noomal stoless on maximum shear storess Plane Jang OC = 4.7cm Taug = uz mpal