Reference no: EM13837744
A steel beam with yield strength, σyield = 300 MN/m2 is under a stress state as follows:
σx = 30 MN/m2
σy = 150 MN/m2
σxy = 45 MN/m2
Using the Mohr's circle method, determine the following:
a) The principal normal stresses and the maximum shear stress
b) Sketch a diagram the orientation of the planes of the principal normal stresses and maximum shear stress relative to the original stress σx and σy
The normal and shear stresses on a plane 30° counterclockwise from the horizontal plane where the 150 MN/m2 stress is acting. Under this stress state, what is the safety factors using the Tresca failure theory, the Rankine failure theory and the Von Mises Theory?
A steel bar of circular section 160 mm in diameter is to be used as a column with both of its end pin jointed.
a) If the stress limit is 240 MN/m2 and the modulus of elasticity of steel is 2x1011 N/m2, calculate the safe load if the length of the column is 8 m with a safety factor of 1.75?