©BRIGHTSTARS 2025 ALL RIGHTS RESERVED 11:22 AM A+
FE Exam - Civil Engineering Exam Study
Guide 100% Verified.
For Beam Deflection you can use the chart with all the different equations that apply to your
Simply Supported Beam - Answer✔w - distributed load
P - point load
Theta measures slope
V - deflection and displacement at a point
You need E, I, and L
Maximum Shear Stress is the radius of your Mohr's Circle - Answer✔Tmax = R = sqrt(Txy^2 +
((x-y)/2)^2)
TRUE Stress is the load divided by the ACTUAL Cross-Sectional Area
EGINEERING Stress is load divided by the Initial Area - Answer✔
A Thin-Walled Cylinder counts as what? - Answer✔The thickness of the cylinder wall is less than
one tenth or less of the INSIDE radius
There are separate equations that accompany this classification for pressure
Hooke's Law - Answer✔The law stating that the stress of a solid is directly proportional to the
strain applied to it.
1|P a g e
, ©BRIGHTSTARS 2025 ALL RIGHTS RESERVED 11:22 AM A+
The shear strain in torsional motion varies from 0-100% in direct proportion to the Radius -
Answer✔Greatest strain at the outside of the shaft. Essentially Zero at the Center
Torsional Stiffness - Answer✔Twisting moment per radian of twist
Torsion has different equations for thick and thin-walled shafts - Answer✔
Bending Beams Bending Moments and Sign Conventions - Answer✔Positive BENDING MOMENT
if it's concave upward
Positive SHEARING FORCE if the right end shears downward with respect to the left end
Transverse shear stress - Answer✔Transverse loads which generate both bending moments
M(x) and shear forces V(x) along the beam
What makes it Transverse?
There is a table with some essential values and properties of Typical Materials - Answer✔The
only time that these material parameters, given in a few tables, will actually matter is when the
applied load needs to be related to the resulting deformation
On the FE, Torque and Torsional problems are generally left for only circular cross-sections -
Answer✔Non-circular cross-sections tend to warp and the physics behind such are a little too
difficult
With Torsional Strain and the angle of twist, you only need to use the integration in two cases: -
Answer✔1.) The torsion force varies along the the shaft
2.) Value for J varies along the shaft
2|P a g e
FE Exam - Civil Engineering Exam Study
Guide 100% Verified.
For Beam Deflection you can use the chart with all the different equations that apply to your
Simply Supported Beam - Answer✔w - distributed load
P - point load
Theta measures slope
V - deflection and displacement at a point
You need E, I, and L
Maximum Shear Stress is the radius of your Mohr's Circle - Answer✔Tmax = R = sqrt(Txy^2 +
((x-y)/2)^2)
TRUE Stress is the load divided by the ACTUAL Cross-Sectional Area
EGINEERING Stress is load divided by the Initial Area - Answer✔
A Thin-Walled Cylinder counts as what? - Answer✔The thickness of the cylinder wall is less than
one tenth or less of the INSIDE radius
There are separate equations that accompany this classification for pressure
Hooke's Law - Answer✔The law stating that the stress of a solid is directly proportional to the
strain applied to it.
1|P a g e
, ©BRIGHTSTARS 2025 ALL RIGHTS RESERVED 11:22 AM A+
The shear strain in torsional motion varies from 0-100% in direct proportion to the Radius -
Answer✔Greatest strain at the outside of the shaft. Essentially Zero at the Center
Torsional Stiffness - Answer✔Twisting moment per radian of twist
Torsion has different equations for thick and thin-walled shafts - Answer✔
Bending Beams Bending Moments and Sign Conventions - Answer✔Positive BENDING MOMENT
if it's concave upward
Positive SHEARING FORCE if the right end shears downward with respect to the left end
Transverse shear stress - Answer✔Transverse loads which generate both bending moments
M(x) and shear forces V(x) along the beam
What makes it Transverse?
There is a table with some essential values and properties of Typical Materials - Answer✔The
only time that these material parameters, given in a few tables, will actually matter is when the
applied load needs to be related to the resulting deformation
On the FE, Torque and Torsional problems are generally left for only circular cross-sections -
Answer✔Non-circular cross-sections tend to warp and the physics behind such are a little too
difficult
With Torsional Strain and the angle of twist, you only need to use the integration in two cases: -
Answer✔1.) The torsion force varies along the the shaft
2.) Value for J varies along the shaft
2|P a g e
