Structural Engineering Flashcards
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Dumbass
When given dead and live loads for beam fixed to wall
Use live only
For lateral bucking coefficient use
Structural design loads for W
Assume base and height by
Respectively
Ie
Base x height
10 in x 15 in
Base = 10
Height =15
For mid span supported columns
L/2
G
Sidesway
For fixed condition
G = 1
To find effective length factor, k
Use table that align with G
Find G
G = τ(Σ(I_c/L-c)/Σ(I_g/L_c))
r
Radius of gyration
Lots of tables to look at
Critical stress
r, radius of gyration
(I/A)^.5
For pinned connected assume G =
10
For complete trusses (ie no by section or anything. Looking at it as a whole)
Solve like normal with Σ of forces and moments and solve
Vertical deflection
Find vertical loads
Multiply by given FLs
Sum FLs
Put in ΔL found under tress deflection
Vertical loads
Given loads/ magnitude of point load
When point load is vertical and finding horizontal deflection
Use equilibrium at each point
Adjust forces on beams with ratios of lengths
Multiply virtual forces by given member forces and sum
Put into Δ truss deflection Eq
For plane frame consisting of two rigid bars
Find moment of both bars
NOTE: pinned portion gets a force and reaction moment
Non pinned portion gets only force moment
To find deflection
Find moment equations with x as the length
Sum integrals where each bar has a moment integral
Reaction forces
List just external REACTION forces from supports
Single members have no
Internal forces
For degree of indeterminate
Find all reaction forces
(Pins in the middle will count for only 2)
Effective length
kL
Factor of length = k
Determine k for a column
By table about translation/rotation free vs fixed
For lower W shapes
W14 W12 or W10
Use just kL and cross check with table. r is minimal so unnecessary
When no reduction in stiffness
τ =1
When finding G multiply top bar by
2 even if it’s just one
For available strength of top half of beam
Find radii of gyration in both directions of W beam in question
Effective length if W beam:
KL = (kL)_x/(r_x/r_y)
Find beam in table
Effective area for a connection
A_n = shortest width of failure path * thickness of member
Flat bars (plate)
Available strength T_n
φ_yF_yA_g
In book but doesn’t say to multiply
For connection of members
Make sure to combine areas for number similar members
(Ie L shaped areas that are bolted to a plate, two L shapes means two areas)
Weight can also be called
Dead load
WATCH UNITS
Dumbass
Use old combinations for w or U
1.2D + 1.5L
Max shear in concrete V_u
.5U or .5w
Ultimate moment
P_u*e
ρg for cross-section area ratio
Graph found
REMEMBER TO INCLUDE φ
(Found above graph)
For concrete with bars
Finding area of bars
A = ρgbh
A/n =area of each bar
n = number of bars
If a simply supported reinforced concrete beam is subject to a uniformly distributed load, where is tensile reinforcing steel needed?
At the bottom of the beam section
Converting lbs/ft^3 to kip/ft
Multiply by each dimensions divided by 12 (ie 20/12*30/12 for dimensions do 20x30)
Then divide by 1000
Method of virtual work assumes
Conservation of energy
Loop pipes
Literally looping pipes
Pipe nodes
Corners
Pipes
Parts of loops
As rainfall increases
Uniformity decreases
Watershed has nothing to do with
Uniformity
For LRFD multiple V by
φ
Equals 1 for I shaped beams
For tension members
Under yielding/rupture
Don’t multiply by φ
Trick for controlling condition factors
Middle section (if one)
G top = G bottom
Radius of gyration
Which is weak?
Smaller number is weaker
A two-dimensional structure with four or more external reaction forces:
Cannot be analyzed using statics
When asked about max loads look at
Design Eqs
For yielding in beams do you use φ
Yes
F in yielding moment can also be
Bending stress
Based on what’s given
For bucking coefficient use
The moment RATIOS with the max
Using tabulated values for the torsional buckling coefficient based on load and bracing conditions
Best way to find the coefficient?
Slenderness ratio lower than 50 means
Short steel column
Another way for moment with T and d
T is the force
d is the depth of the W shape
A_n
Thickness*shortest fail path