Problem 1: For the crank in the figure below and loaded as shown, determine the location of maximum stress and draw the stress element with the appropriate normal and shear stresses. Also determine the three principal stress (0₁, ₂ and, 03) using Mohr's circle. Assume the rod has a uniform solid circular cross-section throughout the length. In addition, determine the deflection of point A due to the given loading using superposition in the x, y, and z directions as indicated by the coordinate system shown with the figure. For material properties, use E = 200 [GPa] for the modulus of elasticity and v= 0.3 for Poisson's ratio. 200 mm AZ D 1500N 25mm diameter round rod bent into the crank C 250 mm A 1000N 100 mm B

Problem 1: For the crank in the figure below and loaded as shown, determine the location of maximum stress and draw the stress element with the appropriate normal and shear stresses. Also determine the three principal stress (0₁, ₂ and, 03) using Mohr's circle. Assume the rod has a uniform solid circular cross-section throughout the length. In addition, determine the deflection of point A due to the given loading using superposition in the x, y, and z directions as indicated by the coordinate system shown with the figure. For material properties, use E = 200 [GPa] for the modulus of elasticity and v= 0.3 for Poisson's ratio. 200 mm AZ D 1500N 25mm diameter round rod bent into the crank C 250 mm A 1000N 100 mm B

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 7.4.3P: An element on the gusset plate in Problem 7.2-23 in uniuxial stress is subjected to compressive...

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Question

There’s a force acting in the Y and Z direction

Fint -1500 + 1000k [N]
Mint 250-300 j - 300 k
Comparison of these vectors with the previous results shows they are the same.

Problem 1:
For the crank in the figure below and loaded as shown, determine the location of maximum stress
and draw the stress element with the appropriate normal and shear stresses. Also determine the
three principal stress (0₁,02 and, 03) using Mohr's circle. Assume the rod has a uniform solid
circular cross-section throughout the length. In addition, determine the deflection of point A due
to the given loading using superposition in the x, y, and z directions as indicated by the coordinate
system shown with the figure. For material properties, use E = 200 [GPa] for the modulus of
elasticity and u = 0.3 for Poisson's ratio.
200 mm
AZ
D
1500N
25mm diameter
round rod bent
into the crank
C
250 mm
A
1000N
A
100 mm
B
y

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