Answer the problem with detailed step by step solution refer to the table of equations when answering the problem. TABLE OF EQUATIONSNormal StressBearing StressPAtdShear Stress (Single)Shear Stress (Double)P= 12ATangential Stress (Cylindrical)PD PrO = =TLongitudinal Stress (Cylindrical)PD PrO = 2t4tStress on Spherical VesselsHooke's LawPD PrOs =4tO = Ee2tDeformationAxial StrainPLΔΙ.E =AE1-1-,Generalized Hooke's LawdyEEx =DilatationdyEy =Ee = €x + €y + €zEdyE, = -vEEShear StrainShear ModulusEG =2(1+ v)y =Thermal StrainThermal Deformation8, = a(AT)LET = aATShear Stress due to TorsionShear Stress at any PointTcTmax =T=-TmaxPolar Moment of Inertia of CircleMinimum Shear Stress (Hollow)Tmin =-TmaxC2Angle of TwistPolar Moment of Inertia of Hollow CircleTLJGShear Stress due to Torsion (Non-Circular Tubes)PowerTP = T2tAAngle of Twist (Non-Circular Tubes)TL ( dsBending StressOx = --om4A?GMaximum Bending StressMcOm =TElastic Section ModulusDeflection of a Beamd?yEdr = MSecond Moment-Area Theoremtc/p = (area bet.C and D)xArea of General SpandrelbhA =n+1Centroid of General Spandrelbn+2Deflection in Simply Supported Beams8p = 0Ạx - tạ/Atc/ADeflection in Cantilever Beams8R = (area of M/El diagram)XgMaximum and Minimum Stress in Beams withCombined Axial and Lateral Loads in BeamsCombined Axial and Lateral LoadsP MyA IP. McOmax,min = t-O =--Transformation of Plane Stresscos 20 +Txy sin 202Principal StressesO + dy Ox - 0y2Ox-dy sin 20 + Tyy cos 202cos 20 - Tzy sin 20Omar, min=2Maximum Shear Stress and Corresponding AngleAngle of Principal Plane+ TâyTmax =21.xy_O- dy2Txytan 20tan 20,%3DCoordinates of Center of Mohr's Circle(*.0)(0x+ dy2 For the given Mohr's circle where ơx = 40 MPa,try = 40 MPa, (i) what is themaximum shear stress tmax, (ii) what are the maximum and minimum normalstresses ơmax and omin, and (iii) what is the angle of the principal plane 0,?-50(40, 40)(0, 0)(40, 0)(80, 0)50100|(40, –40)-50-

Given data Stresses given are:σx = 40 MPaτxy = 40 MPa

For the given Mohr's circle where o, = 40 MPa,try = 40 MPa, (i) what is the maximum shear stress tmax, (ii) what are the maximum and minimum normal stresses omax and omin, and (iii) what is the angle of the principal plane 0,? -50 (40, 40) (0, 0) (40, 0) (80, 0) 50 100 |(40, –40) -50

For the given Mohr's circle where o, = 40 MPa,try = 40 MPa, (i) what is the maximum shear stress tmax, (ii) what are the maximum and minimum normal stresses omax and omin, and (iii) what is the angle of the principal plane 0,? -50 (40, 40) (0, 0) (40, 0) (80, 0) 50 100 |(40, –40) -50

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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