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| SECTION 2109 EMPIRICAL DESIGN
OF MASONRY
2109.1 General. Empirically
designed masonry shall conform to this chapter or Chapter
5 of ACI 530/ASCE 5/TMS 402.
2109.1.1 Limitations.
The use of empirical design of masonry shall be limited
as follows:
1. Empirical design shall not
be used for buildings assigned to Seismic Design Category
D, E or F as specified in Section 1613,
nor for the design of the seismic-force- resisting system
for buildings assigned to Seismic Design Category B or C.
2. Empirical design shall not
be used for masonry elements that are part of the lateral-force-resisting
system where the basic wind speed exceeds 110 mph (79 m/s).
3. Empirical design shall not
be used for interior masonry elements that are not part
of the lateral force- resisting system in buildings other
than enclosed buildings as defined in Chapter 6 of ASCE
7 in:
3.1. Buildings over 180 feet
(55 100 mm) in height.
3.2. Buildings over 60 feet
(18 400 mm) in height where the basic wind speed exceeds
90 mph (40 m/s).
3.3. Buildings over 35 feet
(10 700 mm) in height where the basic wind speed exceeds
100 mph (45 m/s).
3.4. Where the basic wind speed
exceeds 110 mph (79 m/s).
4. Empirical design shall not
be used for exterior masonry elements that are not part
of the lateral force- resisting system and that are more
than 35 feet(10 700 mm) above ground:
4.1. Buildings over 180 feet
(55 100 mm) in height.
4.2. Buildings over 60 feet
(18 400 mm) in height where the basic wind speed exceeds
90 mph (40 m/s).
4.3. Buildings over 35 feet
(10 700 mm) in height where the basic wind speed exceeds
100 mph (45 m/s).
5. Empirical design shall not
be used for exterior masonry elements that are less than
or equal to 35 feet (10 700 mm) above ground where the basic
wind speed exceeds 110 mph (79 m/s).
6. Empirical design shall only
be used when the resultant of gravity loads is within the
center third of the wall thickness and within the central
area bounded by lines at one-third of each cross-sectional
dimension of foundation piers.
7. Empirical design shall not
be used for A A C masonry. In buildings that exceed one
or more of the above limitations, masonry shall be designed
in accordance with the engineered design provisions of Section
2107 or 2108 or the foundation
wall provisions of Section 1805.5.
2109.2 Lateral stability.
2109.2.1 Shear walls. Where
the structure depends upon masonry walls for lateral stability,
shear walls shall be provided parallel to the direction
of the lateral forces resisted.
2109.2.1.1 Cumulative
length of shear walls. In each direction in which
shear walls are required for lateral stability, shear
walls shall be positioned in two separate planes. The
minimum cumulative length of shear walls provided shall
be 0.4 times the long dimension of the building. Cumulative
length of shear walls shall not include openings or any
element with a length that is less than one-half its height.
2109.2.1.2 Maximum diaphragm
ratio. Masonry shear walls shall be spaced so that
the length-to-width ratio of each diaphragm transferring
lateral forces to the shear walls does not exceed the
values given in Table 2109.2.1.2.
2109.2.2 Roofs. The roof construction shall be designed
so as not to impart out-of-plane lateral thrust to the
walls under roof gravity load.
2109.2.3 Surface-bonded
walls. Dry-stacked, surface- bonded concrete masonry
walls shall comply with the requirements of this code for
masonry wall construction, except where otherwise noted
in this section.
2109.2.3.1 Strength.
Dry-stacked, surface-bonded concrete masonry walls shall
be of adequate strength and proportions to support all
superimposed loads without exceeding the allowable stresses
listed in Table 2109.2.3.1.
Allowable stresses not specified in Table
2109.2.3.1 shall comply with the requirements of ACI
530/ASCE 5/TMS 402.
2109.2.3.2 Construction. Construction of dry-stacked,
surface-bonded masonry walls, including stacking and leveling
of units, mixing and application of mortar and curing
and protection shall comply with ASTM C 946.
2109.3 Compressive stress
requirements.
2109.3.1 Calculations. Compressive
stresses in masonry due to vertical dead plus live loads,
excluding wind or seismic loads, shall be determined in
accordance with Section 2109.3.2.1. Dead and live loads
shall be in accordance with Chapter 16, with live load reductions
as permitted in Section 1607.9.
2109.3.2 Allowable compressive
stresses. The compressive stresses in masonry shall
not exceed the values given in Table
2109.3.2. Stress shall be calculated based on specified
rather than nominal dimensions.
2109.3.2.1 Calculated
compressive stresses. Calculated compressive stresses
for single wythe walls and for multiwythe composite masonry
walls shall be determined by dividing the design load
by the gross cross-sectional area of the member. The area
of openings, chases or recesses in walls shall not be
included in the gross cross- sectional area of the wall.
2109.3.2.2 Multiwythe
walls. The allowable stress shall be as given in Table
2109.3.2 for the weakest combination of the units
used in each wythe.
2109.4 Lateral support.
2109.4.1 Intervals.
Masonry walls shall be laterally supported in either the
horizontal or vertical direction at intervals not exceeding
those given in Table 2109.4.1.
2109.4.2 Thickness. Except for cavity walls and cantilever
walls, the thickness of a wall shall be its nominal thickness
measured perpendicular to the face of the wall. For cavity
walls, the thickness shall be determined as the sum of the
nominal thicknesses of the individual wythes. For cantilever
walls, except for parapets, the ratio of height-to-nominal
thickness shall not exceed 6 for solid masonry or 4 for
hollow masonry. For parapets, see Section 2109.5.4.
2109.4.3 Support elements.
Lateral support shall be provided by cross walls, pilasters,
buttresses or structural frame members when the limiting
distance is taken horizontally, or by floors, roofs acting
as diaphragms or structural frame members when the limiting
distance is taken vertically.
2109.5 Thickness of masonry.
Minimum thickness requirements shall be based on nominal dimensions
of masonry.
2109.5.1 Thickness of walls.
The thickness of masonry walls shall conform to the requirements
of Section 2109.5.
2109.5.2 Minimum thickness.
2109.5.2.1 Bearing walls.
The minimum thickness of masonry bearing walls more than
one story high shall be 8 inches (203 mm). Bearing walls
of one-story buildings shall not be less than 6 inches
(152 mm) thick.
2109.5.2.2 Rubble stone
walls. The minimum thickness of rough, random or coursed
rubble stone walls shall be 16 inches (406 mm).
2109.5.2.3 Shear walls.
The minimum thickness of masonry shear walls shall be
8 inches (203 mm).
2109.5.2.4 Foundation
walls. The minimum thickness of foundation walls shall
be 8 inches (203 mm) and as required by Section 2109.5.3.1.
2109.5.2.5 Foundation
piers. The minimum thickness of foundation piers shall
be 8 inches (203 mm).
2109.5.2.6 Parapet walls.
The minimum thickness of parapet walls shall be 8 inches
(203 mm) and as required by Section 2109.5.4.1.
2109.5.2.7 Change in thickness.
Where walls of masonry of hollow units or masonry bonded
hollow walls are decreased in thickness, a course or courses
of solid masonry shall be interposed between the wall
below and the thinner wall above, or special units or
construction shall be used to transmit the loads from
face shells or wythes above to those below.
2109.5.3 Foundation walls.
Foundation walls shall comply with the requirements of Section
2109.5.3.1 or 2109.5.3.2.
2109.5.3.1 Minimum thickness.
Minimum thickness for foundation walls shall comply with
the requirements of Table
2109.5.3.1. The provisions of Table
2109.5.3.1 are only applicable where the following
conditions are met:
1. The foundation wall
does not exceed 8 feet (2438 mm) in height between lateral
supports;
2. The terrain surrounding
foundation walls is graded to drain surface water away
from foundation walls;
3. Backfill is drained
to remove ground water away from foundation walls;
4. Lateral support is provided
at the top of foundation walls prior to backfilling;
5. The length of foundation
walls between perpendicular masonry walls or pilasters
is a maximum of three times the basement wall height;
6. The backfill is granular
and soil conditions in the area are nonexpansive; and
7. Masonry is laid in running
bond using Type M or S mortar.
2109.5.3.2 Design requirements. Where the requirements
of Section 2109.5.3.1 are not met, foundation walls shall
be designed in accordance with Section
1805.5.
2109.5.4 Parapet walls.
2109.5.4.1 Minimum thickness.
The minimum thickness of unreinforced masonry parapets
shall meet Section 2109.5.2.6 and their height shall not
exceed three times their thickness.
2109.5.4.2 Additional provisions.
Additional provisions for parapet walls are contained in
Sections 1503.2 and 1503.3.
2109.6 Bond.
2109.6.1 General. The
facing and backing of multiwythe masonry walls shall be
bonded in accordance with Section 2109.6.2, 2109.6.3 or
2109.6.4.
2109.6.2 Bonding with masonry
headers.
2109.6.2.1 Solid units.
Where the facing and backing (adjacent wythes) of solid
masonry construction are bonded by means of masonry headers,
no less than 4 percent of the wall surface of each face
shall be composed of headers extending not less than 3
inches (76 mm) into the backing. The distance between
adjacent full-length headers shall not exceed 24 inches
(610 mm) either vertically or horizontally. In walls in
which a single header does not extend through the wall,
headers from the opposite sides shall overlap at least
3 inches (76 mm), or headers from opposite sides shall
be covered with another header course overlapping the
header below at least 3 inches (76 mm).
2109.6.2.2 Hollow units.
Where two or more hollow units are used to make up the
thickness of a wall, the stretcher courses shall be bonded
at vertical intervals not exceeding 34 inches (864 mm)
by lapping at least 3 inches (76 mm) over the unit below,
or by lapping at vertical intervals not exceeding 17 inches
(432 mm) with units that are at least 50 percent greater
in thickness than the units below.
2109.6.2.3 Masonry bonded
hollow walls. In masonry bonded hollow walls, the
facing and backing shall be bonded so that not less than
4 percent of the wall surface of each face is composed
of masonry bonded units extending not less than 3 inches
(76 mm) into the backing. The distance between adjacent
bonders shall not exceed 24 inches (610 mm) either vertically
or horizontally.
2109.6.3 Bonding with wall
ties or joint reinforcement.
2109.6.3.1 Bonding with
wall ties. Except as required by Section 2109.6.3.1.1,
where the facing and backing (adjacent wythes) of masonry
walls are bonded with wire size W2.8 (MW18) wall ties
or metal wire of equivalent stiffness embedded in the
horizontal mortar joints, there shall be at least one
metal tie for each 41/2 square feet (0.42 m2)
of wall area. The maximum vertical distance between ties
shall not exceed 24 inches (610 mm), and the maximum horizontal
distance shall not exceed 36 inches (914 mm). Rods or
ties bent to rectangular shape shall be used with hollow
masonry units laid with the cells vertical. In other walls,
the ends of ties shall be bent to 90-degree (1.57 rad)
angles to provide hooks no less than 2 inches (51 mm)
long. Wall ties shall be without drips. Additional bonding
ties shall be provided at all openings, spaced not more
than 36 inches (914 mm) apart around the perimeter and
within 12 inches (305 mm) of the opening.
2109.6.3.1.1 Bonding
with adjustable wall ties. Where the facing and
backing (adjacent wythes) of masonry are bonded with
adjustable wall ties, there shall be at least one tie
for each 1.77 square feet (0.164 m2) of wall
area. Neither the vertical nor horizontal spacing of
the adjustable wall ties shall exceed 16 inches (406
mm). The maximum vertical offset of bed joints from
one wythe to the other shall be 11/4
inches (32 mm). The maximum clearance between connecting
parts of the ties shall be 1/16
inch (1.6 mm). When pintle legs are used, ties shall
have at least two wire size W2.8 (MW18) legs.
2109.6.3.2 Bonding with
prefabricated joint reinforcement. Where the facing
and backing (adjacent wythes) of masonry are bonded with
prefabricated joint reinforcement, there shall be at least
one cross wire serving as a tie for each 22/3 square feet
(0.25m2) of wall area. The vertical spacing
of the joint reinforcing shall not exceed 24 inches (610
mm). Cross wires on prefabricated joint reinforcement
shall not be less than W1.7 (MW11) and shall be without
drips. The longitudinal wires shall be embedded in the
mortar.
2109.6.4 Bonding with natural
or cast stone.
2109.6.4.1 Ashlar masonry.
In ashlar masonry, bonder units, uniformly distributed,
shall be provided to the extent of not less than 10 percent
of the wall area. Such bonder units shall extend not less
than 4 inches (102 mm) into the backing wall.
2109.6.4.2 Rubble stone
masonry. Rubble stone masonry 24 inches (610 mm) or
less in thickness shall have bonder units with a maximum
spacing of 36 inches (914 mm) vertically and 36 inches
(914 mm) horizontally, and if the masonry is of greater
thickness than 24 inches (610 mm), shall have one bonder
unit for each 6 square feet (0.56 m2) of wall
surface on both sides.
2109.6.5 Masonry bonding
pattern.
2109.6.5.1 Masonry laid
in running bond. Each wythe of masonry shall be laid
in running bond, head joints in successive courses shall
be offset by not less than one- fourth the unit length
or the masonry walls shall be reinforced longitudinally
as required in Section 2109.6.5.2.
2109.6.5.2 Masonry laid
in stack bond. Where unit masonry is laid with less
head joint offset than in Section 2109.6.5.1, the minimum
area of horizontal reinforcement placed in mortar bed
joints or in bond beams spaced not more than 48 inches
(1219 mm) apart, shall be 0.0003 times the vertical cross-sectional
area of the wall.
2109.7 Anchorage.
2109.7.1 General. Masonry
elements shall be anchored in accordance with Sections 2109.7.2
through 2109.7.4.
2109.7.2 Intersecting walls.
Masonry walls depending upon one another for lateral support
shall be anchored or bonded at locations where they meet
or intersect by one of the methods indicated in Sections
2109.7.2.1 through 2109.7.2.5.
2109.7.2.1 Bonding pattern.
Fifty percent of the units at the intersection shall be
laid in an overlapping masonry bonding pattern, with alternate
units having a bearing of not less than 3 inches (76 mm)
on the unit below.
2109.7.2.2 Steel connectors.
Walls shall be anchored by steel connectors having
a minimum section of 1/4 inch (6.4
mm) by 11/2 inches (38 mm), with
ends bent up at least 2 inches (51 mm) or with cross pins
to form anchorage. Such anchors shall be at least 24 inches
(610 mm) long and the maximum spacing shall be 48 inches
(1219 mm).
2109.7.2.3 Joint reinforcement.
Walls shall be anchored by joint reinforcement spaced
at a maximum distance of 8 inches (203 mm). Longitudinal
wires of such reinforcement shall be at least wire size
W1.7 (MW 11) and shall extend at least 30 inches (762
mm) in each direction at the intersection.
2109.7.2.4 Interior nonload-bearing
walls. Interior nonload-bearing walls shall be anchored
at their intersection, at vertical intervals of not more
than 16 inches (406 mm) with joint reinforcement or 1/4-inch
(6.4 mm) mesh galvanized hardware cloth.
2109.7.2.5 Ties, joint
reinforcement or anchors. Other metal ties, joint
reinforcement or anchors, if used, shall be spaced to
provide equivalent area of anchorage to that required
by this section.
2109.7.3 Floor and roof
anchorage. Floor and roof diaphragms providing lateral
support to masonry shall comply with the live loads in Section
1607.3 and shall be connected to the masonry in accordance
with Sections 2109.7.3.1 through 2109.7.3.3. Roof loading
shall be determined in accordance with Chapter 16 and, when
net uplift occurs, uplift shall be resisted entirely by
an anchorage system designed in accordance with the provisions
of Sections 2.1 and 2.3,
Sections 3.1 and 3.3
or Chapter 4 of ACI 530/ASCE 5/TMS 402.
2109.7.3.1Wood floor joists.
Wood floor joists bearing on masonry walls shall be
anchored to the wall at intervals not to exceed 72 inches
(1829 mm) by metal strap anchors. Joists parallel to the
wall shall be anchored with metal straps spaced not more
than 72 inches (1829 mm) o.c. extending over or under
and secured to at least three joists. Blocking shall be
provided between joists at each strap anchor.
2109.7.3.2 Steel floor
joists. Steel floor joists bearing on masonry walls
shall be anchored to the wall with 3/8-inch
(9.5 mm) round bars, or their equivalent, spaced not more
than 72 inches (1829 mm) o.c. Where joists are parallel
to the wall, anchors shall be located at joist bridging.
2109.7.3.3 Roof diaphragms.
Roof diaphragms shall be anchored to masonry walls with
1/2-inch-diameter (12.7 mm) bolts,
72 inches (1829 mm) o.c. or their equivalent. Bolts shall
extend and be embedded at least 15 inches (381 mm) into
the masonry, or be hooked or welded to not less than 0.20
square inch (129 mm2) of bond beam reinforcement
placed not less than 6 inches (152 mm) from the top of
the wall.
2109.7.4 Walls adjoining
structural framing. Where walls are dependent upon the
structural frame for lateral support, they shall be anchored
to the structural members with metal anchors or otherwise
keyed to the structural members. Metal anchors shall consist
of 1/2-inch (12.7 mm) bolts spaced
at 48 inches (1219 mm) o.c. embedded 4 inches (102 mm) into
the masonry, or their equivalent area.
2109.8 Adobe construction.
Adobe construction shall comply with this section and shall
be subject to the requirements of this code for Type V construction.
2109.8.1 Unstabilized adobe.
2109.8.1.1 Compressive
strength. Adobe units shall have an average compressive
strength of 300 psi (2068 kPa) when tested in accordance
with ASTM C 67. Five samples shall be tested and no individual
unit is permitted to have a compressive strength of less
than 250 psi (1724 kPa).
2109.8.1.2 Modulus of
rupture. Adobe units shall have an average modulus
of rupture of 50 psi (345 kPa) when tested in accordance
with the following procedure. Five samples shall be tested
and no individual unit shall have a modulus of rupture
of less than 35 psi (241 kPa).
2109.8.1.2.1 Support
conditions. A cured unit shall be simply supported
by 2-inch-diameter (51 mm) cylindrical supports located
2 inches (51 mm) in from each end and extending the
full width of the unit.
2109.8.1.2.2 Loading
conditions.A2-inch-diameter (51 mm) cylinder shall
be placed at midspan parallel to the supports.
2109.8.1.2.3 Testing
procedure. Avertical load shall be applied to the
cylinder at the rate of 500 pounds per minute (37 N/s)
until failure occurs.
2109.8.1.2.4 Modulus
of rupture determination. The modulus of rupture
shall be determined by the equation:
fr = 3WLs/2bt2
(Equation 21-4)
where, for the purposes
of this section only:
b = Width of the test
specimen measured parallel to the loading cylinder,
inches (mm).
fr = Modulus
of rupture, psi (MPa).
Ls = Distance
between supports, inches (mm).
t = Thickness of the
test specimen measured parallel to the direction of
load, inches (mm).
W = The applied load
at failure, pounds (N).
2109.8.1.3 Moisture content
requirements. Adobe units shall have a moisture content
not exceeding 4 percent by weight.
2109.8.1.4 Shrinkage cracks.
Adobe units shall not contain more than three shrinkage
cracks and any single shrinkage crack shall not exceed
3 inches (76 mm) in length or 1/8
inch (3.2 mm) in width.
2109.8.2 Stabilized adobe.
2109.8.2.1 Material requirements.
Stabilized adobe shall comply with the material requirements
of unstabilized adobe in addition to Sections 2109.8.2.1.1
and 2109.8.2.1.2.
2109.8.2.1.1 Soil requirements.
Soil used for stabilized adobe units shall be chemically
compatible with the stabilizing material.
2109.8.2.1.2 Absorption
requirements. A 4-inch (102 mm) cube, cut from a
stabilized adobe unit dried to a constant weight in
a ventilated oven at 212°F to 239°F (100°C to 115°C),
shall not absorb more than 21/2
percent moisture by weight when placed upon a constantly
water-saturated, porous surface for seven days. A minimum
of five specimens shall be tested and each specimen
shall be cut from a separate unit.
2109.8.3 Allowable stress.
The allowable compressive stress based on gross cross-sectional
area of adobe shall not exceed 30 psi (207 kPa).
2109.8.3.1 Bolts.
Bolt values shall not exceed those set forth in Table
2109.8.3.1.
2109.8.4 Construction.
2109.8.4.1 General.
2109.8.4.1.1 Height
restrictions. Adobe construction shall be limited
to buildings not exceeding one story, except that two-story
construction is allowed when designed by a registered
design professional.
2109.8.4.1.2 Mortar
restrictions. Mortar for stabilized adobe units
shall comply with Chapter 21 or adobe soil. Adobe soil
used as mortar shall comply with material requirements
for stabilized adobe. Mortar for unstabilized adobe
shall be portland cement mortar.
2109.8.4.1.3 Mortar
joints. Adobe units shall be laid with full head
and bed joints and in full running bond.
2109.8.4.1.4 Parapet
walls. Parapet walls constructed of adobe units
shall be waterproofed.
2109.8.4.2 Wall thickness.
The minimum thickness of exterior walls in one-story buildings
shall be 10 inches (254 mm). The walls shall be laterally
supported at intervals not exceeding 24 feet (7315 mm).
The minimum thickness of interior load-bearing walls shall
be 8 inches (203 mm). In no case shall the unsupported
height of any wall constructed of adobe units exceed 10
times the thickness of such wall.
2109.8.4.3 Foundations.
2109.8.4.3.1 Foundation
support. Walls and partitions constructed of adobe
units shall be supported by foundations or footings
that extend not less than 6 inches (152 mm) above adjacent
ground surfaces and are constructed of solid masonry
(excluding adobe) or concrete. Footings and foundations
shall comply with Chapter 18.
2109.8.4.3.2 Lower course
requirements. Stabilized adobe units shall be used
in adobe walls for the first 4 inches (102 mm) above
the finished first-floor elevation.
2109.8.4.4 Isolated piers
or columns. Adobe units shall not be used for isolated
piers or columns in a load-bearing capacity. Walls less
than 24 inches (610 mm) in length shall be considered
isolated piers or columns.
2109.8.4.5 Tie beams.
Exterior walls and interior load-bearing walls constructed
of adobe units shall have a continuous tie beam at the
level of the floor or roof bearing and meeting the following
requirements.
2109.8.4.5.1 Concrete
tie beams. Concrete tie beams shall be a minimum
depth of 6 inches (152 mm) and a minimum width of 10
inches (254 mm). Concrete tie beams shall be continuously
reinforced with a minimum of two No. 4 reinforcing bars.
The ultimate compressive strength of concrete shall
be at least 2,500 psi (17.2 MPa) at 28 days.
2109.8.4.5.2 Wood tie
beams. Wood tie beams shall be solid or built up
of lumber having a minimum nominal thickness of 1 inch
(25 mm), and shall have a minimum depth of 6 inches
(152 mm) and a minimum width of 10 inches (254 mm).
Joints in wood tie beams shall be spliced a minimum
of 6 inches (152 mm). No splices shall be allowed within
12 inches (305 mm) of an opening. Wood used in tie beams
shall be approved naturally decay-resistant or pressure-
treated wood.
2109.8.4.6 Exterior finish.
Exterior walls constructed of unstabilized adobe units
shall have their exterior surface covered with a minimum
of two coats of portland cement plaster having a minimum
thickness of 3/4 inch (19.1 mm)
and conforming to ASTM C 926. Lathing shall comply with
ASTM C 1063. Fasteners shall be spaced at 16 inches (406
mm) o.c. maximum. Exposed wood surfaces shall be treated
with an approved wood preservative or other protective
coating prior to lath application.
2109.8.4.7 Lintels.
Lintels shall be considered structural members and shall
be designed in accordance with the applicable provisions
of Chapter 16.
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