A block is subjected to the stresses as shown in Fig. 1. If the allowable compressive normal stress is 34 MPa. Determine: (a) the maximum allowable value of (o).(b) the normal shear stress in MPa.(c) the principal stresses and their directions.(d) the maximum shear stress and direction.(e) from previous results draw Mohr's circle stress and indicate all stresses and their directions. 20 100 MPa 20

A block is subjected to the stresses as shown in Fig. 1. If the allowable compressive normal stress is 34 MPa. Determine: (a) the maximum allowable value of (o).(b) the normal shear stress in MPa.(c) the principal stresses and their directions.(d) the maximum shear stress and direction.(e) from previous results draw Mohr's circle stress and indicate all stresses and their directions. 20 100 MPa 20

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 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...

See similar textbooks

Similar questions

Answer with proper explanation. A rectangular element is a strained body is sub jected to tensile stresses of 250 N/mm² and 180N/ mm² on mutually perpendicular planes together with a shear stress of 80N/mm². Determine: (i) Principal stresses (ii) Principal planes (iii) Maximum shear stress and
A rectangular block of material is subjected to a tensile stress of 90 N/mm2 along X axis and acompressive stress of 45 N/mm2 on a plane at right angle to it, together with shear stresses of80 N/mm2 on the same plane. Calculate the direction of principal planes, the magnitude ofprincipal stresses and the magnitude of greatest shear stresses.
In a plane stress condition, the components of stress at a point are sigma_{x}= 20MPa , sigma_{y} = 80MPa , Ty = 40 MPa . What is the maximum shear stress (in MPa) at the point?
In a biaxial state of stress, normal stress are 900 N/mm^2 and 100 N/mm^3 in x and y diretion respectively. Shear stress is 300 N/ mm ^2. The maximum principal stress will be,
Direct stresses of 160N/mm tensile and 120 N/mm compressive exist on two perpendicular planes at a certain point in a body. They are also accompanied by shear stresses on the planes. The greatest principal stress at the point due to these is 200 N/mm?. a) What must be the magnitude of the shearing stresses on the two planes? b) What will be the maximum shearing stress at the point?
a) Prime planes,b) Prime stresses, c) Maximum shear stress and thisin the plane of the stressdetermine the normal stress
For the state of plane stress shown in Fig. determine (a) the princi-pal planes, (b) the principal stresses, (c) the maximum shearing stress and the corresponding normal stress.
Please give detailed explanation. see photo for expected answer. For the following data, using the stress-transformation equations. (a) find the principal stresses and show their sense on properly oriented elements; (b) find the maximum (principal) shear stresses with the associated normal stresses and show the results on properly oriented elements; and (c) check theinvariance of the normal stresses for solutions in (a) and (b). Please give detailed explanation. See photo for expected answer.
Explain the deconvolution of the principal stress state into the hydrostatic and deviatoric stress components and the importance of the deviatoric stress
When a thin cylinder is subjected to an internal pressure p, the tangential stress should be the criterion for determining the cylinder wall thickness. Explain.
1. At a point in a piece of elastic material, direct stresses of 92 MN/m2 tensile and -49 MN/m2 compressive are applied on mutually perpendicular planes. The planes are also subjected to a shear stress. If the greater principal stress is limited to 100 MN/m2 tensile, determine the value of shear stress. Give you answer to 2 significant figures in MN/m2
A copper bar with a rectangular cross sectionis held without stress between rigid supports (seefigure). Subsequently, the temperature of the bar israised 50°C.(a) Determine the stresses on all faces of theelements A and B, and show these stresseson sketches of the elements. (Assumeα = 17.5 x 10 6 / °C 2 and E = 120 GPa.)(b) If the shear stress at B is known to be 48 MPaat some inclination θ, find angle θ and showthe stresses on a sketch of a properly orientedelement.