Question

Handout problem. A bar (d= 20 mm) has two forces acting on its end as shown. Determine the normal stress and the shear stress at points A and B in the cross-section shown. Ifthe student is looking in the positive X direction (down the axis ofthe bar), point A is on the "west" pole, while point B is on the "South" pole 100 mm 150 mm В 500 N у 300 N

Answer 1

As we know that, cir cular Cross- Section, normal at the meutral Stress axis = O Shear stress maxí mum at the eutral 2xis, ie. 4 v ЗА Shear the peripheral boints. Stress is. maximum at Heve, fox is the neutral axis Lo ad, 2- axis 300 N neutral axis. is Load, 500 N axis

bar, d o mm of Diameter (20)Y Td m 853.98 m 64 64 00

At A A Lies o meutral axis the So, bending at A O due to 300 N Stress maximum Shear will be at A Stress 30 oN due to Tman) 1.213 MPa 202 At Shear StreSS will be due to Jero 300 N at 2nd maximum she ar at the peripheny axi's shown above Stress the neutral 2s O cCuTS given by at due Bending stress 300 N (300x 150)0) M29 57.29 6 mPa 78 53.9 8 mm

calculate stresses olue to 500 N. Now At A 500N 4-axis Yotation about Cause S аxiS. the meutral . will be y-axis Sheat stress at A due to 500N = O Bending stress A clue to d/2 500x ISo) X 20 My x 95-493 mPa . .- (vi) 78S3-98 At B Shear Stress at 8 due to 500 N Tmax 500 - 2-122 m Pa Bendin stress at due to 5oo N Мyxо. 8 Lie s on neutral as anis ** Cvin

From ii i , di), dv), V), vii) vi> and viii), we get that Noxmal at (Tensile) Stress 95.493 MPa A Normal Stress Compressive) 57.29 6 mPa Shear stress at A 27 3 MPa Shear Stress 2 - 122 mPa