) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion) i) The second moment of area relative to z-axis, I_z, for the cross-section can be calculated as ( Enter your answer in cm4 ii) The bending stress at Point H can be calculated as (Enter your answer in MPa, Compressive stress is negative and tensile stress is positive) iii) The first moment of area required to calculate shear stress at H can be calculated as (Enter your answer in mm^3) iv) The absolute value of the transverse shear stress at point H can be calculated as (Enter your answer in MPa ) v) Maximum principal stress can be calculated as (Enter your answer in MPa ) vi) Minimum principal stress can be calculated as (Enter you
a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion)
i) The second moment of area relative to z-axis, I_z, for the cross-section can be calculated as ( Enter your answer in cm4
ii) The bending stress at Point H can be calculated as (Enter your answer in MPa, Compressive stress is negative and tensile stress is positive)
iii) The first moment of area required to calculate shear stress at H can be calculated as (Enter your answer in mm^3)
iv) The absolute value of the transverse shear stress at point H can be calculated as (Enter your answer in MPa )
v) Maximum principal stress can be calculated as (Enter your answer in MPa )
vi) Minimum principal stress can be calculated as (Enter your answer in MPa )
vii) The equivalent stress for Maximum-Shear-Stress Theory ( Tresca criterion) (Enter your answer in MPa )
b) The von Mises equivalent stresses at point H can be calculated as: MPa
c) The factors of safety at point H predicted by the maximum-distortion-energy theory (von Mises criterion) can be calculated as:
d)
By use of the virtual work method, determine the rotation and deflection at the end B.
i) Deflection: mm ( Downward deflection is negative )
ii) Rotation: x10^-3 radians ( Positive rotation is in the anticlockwise direction)
![A steel cantilever beam, of length 2L, has an I-section, see Figure Q3. The cantilever
beam is under a uniformly distributed load q = 190 kN/m applied in its vertical plane of
symmetry at OA part of the span. The yield strength of the steel is [o] = 420 MPa; the
Young's modulus E = 209 GPa. L= 1 m and the coordinates of Point H are x= 0 mm
, y = -70 mm, z= 0 mm .
y
lumi
L
A
L
B X
Figure Q3
20mm
у,
10mm H
20mm
-220mm
b
180mm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e15c9f8-0cd9-4f3b-b5b2-d4b50465c144%2F40102c44-6e77-4d87-bd62-ddf5fce5adc1%2F6ebst9f_processed.png&w=3840&q=75)
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