Question

<Assignment#7 Problem 9.5 1 of 3 Review Determine the normal stress and shear stress acting on the inclined plane AB. Solve the problem using the stress transformation equations. Suppose that T = 7 ksi (Figure 1) v Part A Determine the normal stress acting on plane AB. Express your answer to three significant figures and include the appropriate units. TH MÅ ? Figure 1 of 1 > Value Units 15 ksi Submit Request Answer x' B Part B 60° Determine the shear stress acting on plane AB. Express your answer to three significant figures and include the appropriate units. μΑ ? Value Units

Answer 1

exy A --* 2 Byl y This is the general stress state diagram at a point on plane "Ab" which is a inclined plane, Normal stress, so = oxto + Oxe-o cosze + Exy shear stress, to = x - Sinzo - exy Sinzo Cos20 Now Compare the given stress state diagram with general Stress state diagnam co 0 = 90°+60° = 150° X =0 y = = -15ksi 1600 A les exy -- 7ksi 15ksi O = 150°

part-A. Normal stress on planc AB = x toy + ox-by Cosso + Exy sinzo 2 2 0-15 to-(15) 2 Cos (300) + (-7) sin (300) 2 Icl = 2.312 ksi part-B: Shear stress on plane AB. Te- og sinzo Excy Cosze 0-(-15) sin (300°) - (-7) Cos (300°) 2 = -2.995 ksi Extyl - -3ksi 2.312 ksi B 3ksi o