What is the modulus of elasticity formula for concrete in psi units?

Ec = 57,000√f'c

True or False: Grade 60 steel has a yield strength of 75,000 psi.

False. Grade 60 steel has fy = 60,000 psi.

Multiple choice: What is the strength reduction factor φ for tension-controlled sections?
A) 0.65
B) 0.75
C) 0.90
D) 1.0

C) 0.90

Fill in the blank: The fundamental design equation is φRn ≥ _____ γiQi.

∑

What load combination gives U = 1.2D + 1.6L + 0.5S?

Standard gravity load combination with snow

Multiple choice: For f'c = 5000 psi, what is β₁?
A) 0.85
B) 0.80
C) 0.75
D) 0.70

B) 0.80

True or False: Maximum usable compressive strain in concrete is 0.005.

False. Maximum usable strain is 0.003.

What does 'a' represent in the rectangular stress block?

Depth of equivalent rectangular stress block

Fill in the blank: For Grade 60 steel, cb = _____ × d.

0.593

Multiple choice: Minimum reinforcement formula includes which factor?
A) 2√f'c/fy
B) 3√f'c/fy
C) 4√f'c/fy
D) 5√f'c/fy

B) 3√f'c/fy

When is a section considered tension-controlled?

When εt ≥ 0.005

True or False: Concrete shear strength Vc = 4λ√f'c bwd for beams.

False. Vc = 2λ√f'c bwd for beams.

What is the maximum shear strength limit for stirrups?

Vs ≤ 8√f'c bwd

Fill in the blank: Minimum stirrups are required when Vu > _____ φVc.

0.5

Multiple choice: For vertical stirrups, Vs equals:
A) Avfytd/2s
B) Avfytd/s
C) 2Avfytd/s
D) Avfyts/d

B) Avfytd/s

What factors affect development length for tension bars?

Ψt (location), ψe (coating), ψs (size)

True or False: Top bars have ψt = 1.0 modification factor.

False. Top bars have ψt = 1.3.

Fill in the blank: Class B splice length = _____ × ld.

1.3

Multiple choice: Compression development length minimum is:
A) 6 inches
B) 8 inches
C) 10 inches
D) 12 inches

B) 8 inches

What is the longitudinal steel ratio range for columns?

0.01 ≤ ρg ≤ 0.08

True or False: Spiral columns have higher φ than tied columns.

True. Spirals: φ = 0.75, Ties: φ = 0.65.

Fill in the blank: Short column limit: klu/r ≤ 34 + 12_____.

M₁/M₂

Multiple choice: Minimum tie spacing is controlled by:
A) 16db only
B) 48dt only
C) Least dimension only
D) Minimum of all three

D) Minimum of all three

What is the radius of gyration for rectangular columns?

R ≈ 0.3h

True or False: Temperature steel ratio is 0.0018 for Grade 60 bars.

True.

What is the maximum spacing for temperature reinforcement?

Lesser of 5h or 18 inches

Fill in the blank: DDM total static moment Mo = wu l₂ _____/8.

Ln²

Multiple choice: Column strip width is:
A) 0.20l₂ each side
B) 0.25l₂ each side
C) 0.30l₂ each side
D) 0.35l₂ each side

B) 0.25l₂ each side

Where is the critical section for footing punching shear?

Distance d/2 from column face

True or False: One-way shear critical section is at column face.

False. It's at distance d from face.

Fill in the blank: Two-way shear Vc = _____ λ√f'c bod minimum.

4

Multiple choice: Footing flexure critical section for concrete columns:
A) Centerline
B) d/2 from face
C) At face
D) d from face

C) At face

What is the minimum concrete cover for footings on earth?

3 inches

True or False: Branson's equation gives effective moment of inertia.

True.

Fill in the blank: Cracking moment Mcr = fr Ig/_____.

Yt

Multiple choice: Long-term deflection factor ξ for 5+ years:
A) 1.2
B) 1.4
C) 1.8
D) 2.0

D) 2.0

What deflection limit applies to roof live loads?

L/180

True or False: Floor live load deflection limit is l/240.

False. It's l/360 for immediate deflection.

Fill in the blank: Long-term multiplier λ = ξ/(1 + 50_____)

Ρ'

Multiple choice: Crack control spacing formula includes:
A) 30,000/fs
B) 40,000/fs
C) 50,000/fs
D) 60,000/fs

B) 40,000/fs

What stress is used for crack control calculations?

0.6fy (service stress approximation)

True or False: Normal weight concrete has λ = 1.0.

True.

Fill in the blank: Steel modulus of elasticity Es = _____ psi.

29,000,000

Multiple choice: Shear strength reduction factor is:
A) 0.65
B) 0.75
C) 0.85
D) 0.90

B) 0.75

What happens when concrete strain reaches its maximum limit?

Concrete crushing failure at εc = 0.003

True or False: Balanced condition occurs when steel and concrete fail simultaneously.

True.