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Architecture 211
Statics and Strength of Materials FINAL PROJECT
FORMULAS AND DATA
General: Equilibrium ∑ F = 0 ∑ M = 0 M = Fd
Bending: Maximum Moment
Flexural Stress at extreme fiber
Moment of Inertia (rectangle) Section Modulus (rectangle)
Axial Compression: Euler’s Formula Crushing
Axial Tension:
Constants and Material Data:
Allowable stresses for Timber
Southern pine E = 1.7 × 106 lb/in.2
Fb = 1500 lb/in.2 (psi) Ft = 1500 lb/in.2 (psi) Fc = 1000 lb/in.2 (psi)
Note: timber beam sizes should have widths in increments of 2” or 3” and depths in increments of 2” (i.e. 2x4, 2x6, 3x8, etc). For the purpose of this assignment, assume sizes are ACTUAL sizes (i.e. a 2x4 is actually 2”x4” in size).
Mmax = wL2
8Mmax = PaMmax = PL 4
LLL
wPPP
a a
Fb = = Mc I
M S
Ix = bd 3 12 Sx =
bd 2 6
Pcr = �2EI Le2 Fc =
P A
Ft = P A
INFORMATION
To submit this final project, scan each page that has your Student ID. Submit these scans to your individual Dropbox as a single multi-page PDF file named “FP-Stu- dentID.pdf” by the deadline listed in the email. Students are to write their Student ID (only) in the spaces indicated. In addition, you must enter your answers (the numbers in the boxes) into a Google Form (link in the email). You will complete one form for each structural element (beam, column, and truss element) from your final project.
Please note the beams, columns, and truss elements to solve will vary from student to student. The end goal is that we, as a class, will solve the entire project shown.
Students are to write legibly (by judgement of the instructor), and clearly identify and show all work needed to complete the assignment. Write formulas and show units in each step of the assignment. Show both original values and rounded values for timber sizes.
ASSIGNMENT
Design beams:
Draw free-body diagrams. Identify, locate, and indicate magnitude and direction of all loads. You may have to do additional free-body diagrams to identify all loads. Draw shear and moment diagrams, indicate maximum moment. Find the section modulus required to support design loads. Size the beam (width and depth of cross section).
Design column:
Identify all loads on the column including those from above, if applicable. You may have to do additional free-body diagrams to identify all loads. Determine effective length (Pin connections, Level 1 = 14 ft., Level 2 = 8 ft.) Find the moment of intertia required to carry the load. Size the column (length and width of cross section).
Find axial forces in truss elements:
Using the reactions provided, find the axial forces using the method of sections. Indicate whether the member is in “compression” or “tension” and the magnitude of the force.
Bonus 1:
Size the truss elements you found in the previous section. Determine if compression members are “short” or “long” and find the length and width of the cross section. For tension members, find the length and width of the cross section.
Bonus 2:
Provide comments and criticism on the design of the building. The project is intended to be an EMS Station, able to hold two ambulances in a column-free bay, with offices and other support areas on a second floor above.
Architecture 211
Statics and Strength of Materials FINAL PROJECT
S T
U D
E N
T ID
(O N
LY )
1 2 3
A
B
4
C
D
16' - 0" 16' - 0" 8' - 0"
8' - 0" 8' - 0" 8' - 0" 8' - 0"
16 ' -
0 "
14 ' -
0 "
12 ' -
0 "
B -1
-1
B -1
-5
31-1-B21-1-B
B -1
-2
B -1
-4
B -1
-6 B
-1 -1
4
B-1-19
01-1- B
81-1- B
B -1
-1 1
B -1
-9 B
-1 -1
7
B -1
-7 B
-1 -1
5
B -1
-8 3-1-
B 61-1-
B
T-1 bot
T-2 bot
1/8" = 1'-0" Level 1 Framing Plan
Total Load on Level 1: 50 lb/ft2
C-1-1
C-1-3
C-1-6
C-1-8
C-1-4
C-1-2
C-1-5
C-1-7
C-1-9
4.68k from C-2-5 above
6.24k from C-2-4 above
3.12k from C-2-3 above
S T
U D
E N
T ID
(O N
LY )
1 2 3
A
B
4
C
D
16' - 0" 16' - 0" 8' - 0"
8' - 0" 8' - 0" 8' - 0" 8' - 0"
B -2
-1 B
-2 -6
B -2
-5 B
-2 -1
0
31-2-B21-2-B
B -2
-2 B
-2 -7
B -2
-4 B
-2 -9
B -2
-3 B
-2 -8
B -2
-1 1
T-1 top
T-2 top
16 ' -
0 "
14 ' -
0 "
12 ' -
0 "
1/8" = 1'-0" Level 2 Framing Plan
Total Load on Level 2: 30 lb/ft2
C-2-1
C-2-3
C-2-6
C-2-4
C-2-2
C-2-5
C-2-7
STUDENT ID (ONLY)
Design beam: B–1–4
Beam size (rounded):
x in
Section modulus:
in3
Maximum Moment:
k·ft
Reaction (right side):
Reaction (left side):
k
k
Uniform load (w):
k/ft
Tributary width:
ft
STUDENT ID (ONLY)
Design beam: B–1–13
Total point load (P):
k
Beam size (rounded):
x in
Section modulus:
in3
Maximum Moment:
k·ft
Reaction (right side):
Reaction (left side):
k
k
STUDENT ID (ONLY)
Design column: C–1–5
Column size (rounded):
x in
Moment of Intertia:
in4
Effective length:
ft
Total loads:
k
STUDENT ID (ONLY)
Design truss elements: T–1–13, T–1–14, and T–1–15
T–1–15
k Compression
Tension
T–1–14
k Compression
Tension
T–1–13
k Compression
Tension
T-1-1
T-1-3
T-1-2
T-1-4
T-1-6
T-1-5
T-1-7
T-1-9
T- 1-
8
T-1-10
T-1-12
T- 1-
11
T-1-13
T-1-15
T-1-14
1 2 3 4 16' - 0" 16' - 0" 8' - 0"
8' - 0" 8' - 0" 8' - 0" 8' - 0"
8' -
0 "
0.72k
1.20k
1.44k
2.40k
1.44k
2.40k
1.44k
2.40k
1.44k
2.40k
6.64k 14.8k
1.56k
2.60k
