Question

Each line in Table 1 represents a set of data corresponding to a given plane stress condition. The first three columns are strains (in microstrain) obtained using a three-element rectangular rosette. The final two items are material properties. For a selected set of data, determine the following: (a) The principal strains (b) The principal stresses (c) The maximum shear stress (d) Principal directions referred to the axis of gage a Also, sketch the following (e) Mohr's circles for stress (f) Mohr's circles for strain (g) An element similar to that shown in Fig. 12.14 Use units corresponding to those given for E

Answer 1

SOLUTIO Giver data as shown Gp 985 x 10-6 (45) Cc- _420×10-6 (90') E (Young's modulus)-30x1 osul/. C "V [ Poisson's ratio) = 0.3 Ce 8 4S° A G wing the ral for Norlad for the droins at te iren anglas, valus tor ex, Ead can be etaluakd ung 1020x10 3410 xo Nouo, we have hu valuus of ay and Pr ncipal srains (a) can he evabuatesina thu ean 12 (-1020-420) -6 2

6,2, l-W40士34 62.381 x 10-6 Nou to find principal shins stresses, we hane -0 akd above twrp livear enni, Tand ca 叮--チ0807.68 tot/ 나 339 Mohrs Crds tor Stress Steps to dras Mohrs Greu

Ko

In this case we can dhan, Mohr's Grcle for Shen without 5,09 Amd tag, and ovul wang d ơut_ 2Draws he X and y axes ③ Representーの! m x-axis andでon y-axis -, an d tun forints come fondung t 叮and 2 (say A and S) Taking AB as dian et r Make a circle Thus circk represents tr Mohrir arek と 3 ar Now, Cumilox staps om be tk to draw ths Mohry Orcb for stai except on χ-axis, we will take'e, and my-ais we wil

Snce, E, ond E au kuoun Moy's Cucli can be diaun di 1cm = 500지6-6 ▲ 12. 2 6
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