Flexural Analysis of Beams Flashcards

1
Q

Stress due to bending

A

Flexure

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2
Q

This is the concrete cracked - elastic stress stage

A

Service Stage

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2
Q

Bending moment where cracks will begin to occur.

A

Cracking Moment

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2
Q

This is the ultimate strength stage

A

Failure

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3
Q

This is the uneconomical stage before collapse occur

A

Uncracked concrete stage

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3
Q

If the steel does not yield, the concrete is still on the ______ stage

A

Elastic Stage

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4
Q

It is the moment that causes the stress in the extreme tension fiber to reach the modulus of rupture

A

Cracking Moment

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5
Q

Stage of Working stress design where the criteria is Ma < Mcr

A

Stage 1: Uncracked Concrete Stage

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6
Q

Stage of working stress design where the criteria is Ma > Mcr

A

Stage 2: Concrete Cracked - Elastic Stresses Stage

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7
Q

are the loads that are assumed to actually occur when a structure is in use or service.

A

Service Loads or Working Loads

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8
Q

It is the clear distance between bars

A

Spacing

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9
Q

For members with parallel layers of rebar, the minimum spacing should be ____

A

At least one bar diameter but not less than 1 in

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10
Q

For members with two or more layers of rebar, the upper layers must be _____ in the bottom layers

A

directly above

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11
Q

Clear spacing for members with two or more layers of rebar

A

at least 1 inch clear vertically

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12
Q

For this member the clear distance between longitudinal bars must be at least 1-1/2 bar diameter but not less than 1-1/2 inch

A

Spirally reinforced and tied reinforced compression members

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13
Q

In walls and slabs other than concrete joists, primarily flexural reinforcement must NOT be spaced ____

A

greater than 3 times the wall or slab thickness nor 18 inches

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14
Q

For flexural members, the clear horizontal distance is ____

A

db > 1 in

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15
Q

For Compression members, tied or spirally, the clear horizontal distance is _____

A

1.5 db > 1.5 inches

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16
Q

d stands for

A

effective depth

17
Q

d’ stands for

A

effective cover

18
Q

ft stands for

A

tensile stress

19
Q

fr stands for

A

modulus of rupture

20
Q

h stands for

A

depth

21
Q

b stands for

A

width

22
Q

Formula for Modulus of Elasticity
(Concrete, Normal Weight)

A

Ec = 4700 √fc’

23
Q

Formula for Modulus of Elasticity
(Steel)

A

Es = 200,000 Mpa

24
Q

Formula for allowable stress on concrete

A

fc = 0.45fc’

25
Q

Formula for allowable stress on steel

A

fs = 0.5fy

26
Q

Formula for Rupture (Normal weight of concrete)

A

fr = 0.62 λ √fc’

27
Q

Formula for modular ratio

A

n = Es/Ec

28
Q

Ma stands for

A

actual moment due to load

29
Q

symbol for allowable moment of steel

A

Ms

30
Q

symbol for allowable moment of concrete

A

Mc

31
Q

nb stands for

A

number of bars

32
Q

db stands for

A

bar diameter

33
Q

To solve for cracking moment (Mcr), use formula ___

A

fr = Mcr(y) / Ig

34
Q

Specified cover (mm) for cast against and permanently in contact with ground

A

75 mm

35
Q

Specified cover (mm) for concrete exposed to weather or in contact with ground.
No. 19 through No. 57 bars

A

50 mm

36
Q

Specified cover (mm) for concrete exposed to weather or in contact with ground.
No. 16, MW200 or MD200 wire, and smaller

A

40 mm

37
Q

Specified cover (mm) for concrete not exposed to weather or in contact with ground.
Slab, joists, and wall member
No.43 and 57 bars

A

40 mm

38
Q

Specified cover (mm) for concrete not exposed to weather or in contact with ground.
Slab, joists, and wall member
No. 36 bar and smaller

A

20 mm

39
Q

Specified cover (mm) for concrete not exposed to weather or in contact with ground.
Beams, columns, pedestals, and tension ties

A

40 mm

40
Q

Reinforcement for beams, columns, pedestals, and tension ties

A

✓ Primary Reinforcement
✓ Stirrups
✓ Ties
✓ Spirals
✓ Hoops

41
Q

Reinforcement for slabs, joists, and walls

A

✓ No. 43 and No. 57 bars
✓ No. 36 and smaller bars

42
Q

3 Advantages of Concrete Cover

A

✓ Helps steel to not be exposed on weather
✓ Helps avoid corrosion
✓ Enhances fire resistance

43
Q

Three distinct stages before collapse occur:

A
  1. The uncracked concrete stage (uneconomical)
  2. The concrete cracked - elastic stresses stage (service stage)
  3. The ultimate-strength stage (failure)