Question

P /500 Problem 2) Combined Loading (30 points The structure shown has a diameter of 40 mm. The length 1800 dimensions are a = 500 mm and d = 100 mm. Using load magnitudes of Px = 3000 N, P, = 1000 N, and P, = 1500 N, determine the normal and shear stresses in the structure at point H. (Point H is co-planar with the x-y plane.) The cross-sectional properties are: H A = 1257 mm2 J = 251,327 mm 1y = 1, = 125,664 mm Qmax = 5333 mm3 Present your answers in the following stress tensor matrix based on the x, y, z coordinate system: 3000 500 [o]h = | MPa

Answer 1

First transfer all the loads to bottom one, Pe, when transferred, MzPaxd L o & Px. y, when transferred. Pz when transferred, . Ta Pa xd Scanned with CamScanner

at point H, there will be arial, Bending and shear stresses. L Axial stress is caused .by Pa = 3000 2.3000 are = 2.38 6 N/mnt Torque at H = Pzxd=150ox 100 = ISXIO" N-mm Shear stress at H= 16XT īd 3. = 16X15X109 i = 11.96N/2 Tx 40 ? The position of H, on the struchture is. mnn The Bending moments about z-axis will cause zero streises, as His on Neutral plane. " Mz = Px xd & Mz = Pyx a will cause Zero streuses Scanned with CamScanner

1 The stress matrix at his Газ у баг 1 бух уу уг 21 а за аза "р" Т (12) 11. 936 1. 936 о | yenne Scanned with CamScanner