A rectangular block of material is subjected to a tensile stress of 90 N/mm2 along X axis and a compressive stress of 45 N/mm2 on a plane at right angle to it, together with shear stresses of 80 N/mm2 on the same plane. Calculate the direction of principal planes, the magnitude of principal stresses and the magnitude of greatest shear stresses.

A rectangular block of material is subjected to a tensile stress of 90 N/mm2 along X axis and a compressive stress of 45 N/mm2 on a plane at right angle to it, together with shear stresses of 80 N/mm2 on the same plane. Calculate the direction of principal planes, the magnitude of principal stresses and the magnitude of greatest shear stresses.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.26P: -26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and...

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-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. a
-27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile stress The stresses on element A oriented at angle ?? x1=45° aresy1= 75 psi. tx1y1= 275 psi. . Find the state of stress on the element lilt is rotated clockwise to align the x3 axis with the horizontal x axis.
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