Análise de Tensão em Viga de Madeira sob Carga Distribuída - Cálculo em E

Problem 986 The frame supports the distributed loading of 200 Nm Determine the normal and shear stresses at point E that act perpendicular and parallel respectively to the grains The grains at this point make an angle of 60 with the horizontal as shown Unit Used kPa 1000Pa Given b 50mm h 100mm L 25m w 02 kN m θ 60deg Solution Support Reactions Due to symmetry BCR Fy0 2R wL 0 R 05wL Internal Force At Section E Fy0 N R 0 N R Section Property A bh A 5000 mm² Normal Stress σE N A σE 50 kPa Shear Stress τD 0 Construction of Mohrs Circle σx σE σy 0MPa τxy τD Center σC σx σy 2 σC 25 kPa Radius R σx σC² τxy² 2 R 25 kPa Coordinates Aσx τxy Cσc 0 Angles φ atan τxy σx σc φ 0000 deg α 180deg 2 θ φ α 60000 deg Stresses on the Rotated Element represented by coordinates of point P σx σc Rcosα σx 1250 kPa Ans τxy Rsinα τxy 2165 kPa Ans