Bài giảng Kết cấu bê tông cốt thép ứng suất trước trình bày các nội dung: khái niệm kết cấu bê tông thép ứng suất trước và hiệu quả của phương pháp kết cấu bê tông thép ứng suất trước. Đây là tài liệu tham khảo dành cho sinh viên ngành Xây dựng. | KẾT CẤU BÊ TÔNG THÉP ỨNG SUẤT TRƯỚC 1: KHÁI NIỆM CHUNG Tạo trong kết cấu ứng suất ngược với ứng suất do tải trọng gây ra. Kết cấu bê tông cốt thép ứng suất trước, còn gọi là kết cấu bê tông cốt thép ứng lực trước, hay bê tông tiền áp, hoặc bê tông dự ứng lực (tên gọi HánViệt), là kết cấu bê tông cốt thép sử dụng sự kết hợp ứng lực căng rất cao của cốt thép ứng suất trước và sức chịu nén của bê tông
Trang 1DESIGN OF POST‐
TENSIONED COMPONENTS
FOR FLEXURE
DEVELOPED BY THE PTI EDC-130 EDUCATION COMMITTEE
LEAD AUTHOR: TREY HAMILTON, UNIVERSITY OF FLORIDA
Trang 3 1 hour presentation
Flexure design considerations
Trang 6Load Balancing > Service Stresses > Design Moment Strength
Trang 7PROPERTIES
Trang 8SECTION PROPERTIES
Trang 9Load Balancing > Service Stresses > Design Moment Strength
Trang 10 Transverse forces from tendon “balances” structural dead loads.
Moments caused by the equivalent loads are equal to internal moments caused by
prestressing force
Load Balancing > Service Stresses > Design Moment Strength
Trang 11Harped Tendon can be sized and placed such that the upward
force exerted by the tendon at midspan exactly balances the
applied concentrated load
Load Balancing > Service Stresses > Design Moment Strength
Trang 12Parabolic Tendon can be sized and placed such that the upward
force exerted by the tendon along the length of the member exactly
balances the applied uniformly distributed load
Load Balancing > Service Stresses > Design Moment Strength
Trang 13Load Balancing > Service Stresses > Design Moment Strength
Trang 16EXAMPLE – LOAD
BALANCING
Prestressing in this example balances ~100% of total dead load.
Trang 17Load Balancing > Service Stresses > Design Moment Strength
Trang 18Load Balancing > Service Stresses > Design Moment Strength
Trang 19to 1.0). This includes the forces imposed by the prestressing.
Load Balancing > Service Stresses > Design Moment Strength
Trang 20Load Balancing > Service Stresses > Design Moment Strength
(T)
Trang 21Load Balancing > Service Stresses > Design Moment Strength
(C)
Trang 22Load Balancing > Service Stresses > Design Moment Strength
(T)
Trang 23Load Balancing > Service Stresses > Design Moment Strength
(C)
Trang 24Load Balancing > Service Stresses > Design Moment Strength
(T)
Trang 25Load Balancing > Service Stresses > Design Moment Strength
(C)
Trang 26ECCENTRIC PRESTRESSING STRESSES AT SUPPORT
Load Balancing > Service Stresses > Design Moment Strength
(T)
Trang 27ECCENTRIC PRESTRESSING STRESSES AT SUPPORT
Load Balancing > Service Stresses > Design Moment Strength
(C)
Trang 28Harped Tendon follows
moment diagram from concentrated load
Parabolic Drape follows
moment diagram from uniformly distributed load
Load Balancing > Service Stresses > Design Moment Strength
(T)
Trang 29Harped Tendon follows
moment diagram from concentrated load
Parabolic Drape follows
moment diagram from uniformly distributed load
Load Balancing > Service Stresses > Design Moment Strength
(C)
Trang 33STRESSES AT SERVICE – FULL
LENGTH
Stress in top fiber Stress in bottom fiber Transition (7.5 root f’c) Cracked (12 root f’c)
Load Balancing > Service Stresses > Design Moment Strength
Trang 34ACI 318 indicates that the design moment strength of flexural
members are to be computed by the strength design procedure
used for reinforced concrete with fps is substituted for fy
Load Balancing > Service Stresses > Design Moment Strength
Trang 37EMPIRICAL – BONDED TENDONS
270 ksi prestressing strand
Load Balancing > Service Stresses > Design Moment Strength
Trang 38EMPIRICAL – BONDED TENDONS
NO MILD STEEL
Load Balancing > Service Stresses > Design Moment Strength
Trang 40•Cracks restrained globally by steel strain
over the entire tendon length
•If sufficient mild reinforcement is not
provided, large cracks are possible
Load Balancing > Service Stresses > Design Moment Strength
Trang 41SPAN‐TO‐DEPTH > 35
Careful with units for fse (psi)
Load Balancing > Service Stresses > Design Moment Strength
Trang 43 Section is defined as compression controlled, transition, or tension controlled
Load Balancing > Service Stresses > Design Moment Strength
Trang 44FACTOR
Load Balancing > Service Stresses > Design Moment Strength
Trang 45 Determine
Load Balancing > Service Stresses > Design Moment Strength
Trang 46f ps OF BONDED TENDON
Load Balancing > Service Stresses > Design Moment Strength
Trang 47a and
Load Balancing > Service Stresses > Design Moment Strength
Trang 48M N – BONDED TENDON
Load Balancing > Service Stresses > Design Moment Strength
Trang 49 Members containing bonded tendons must
have sufficient flexural strength to avoid abrupt failure that might be precipitated by cracking.
Members with unbonded tendons are not
required to satisfy this provision.
Load Balancing > Service Stresses > Design Moment Strength
Trang 50Load Balancing > Service Stresses > Design Moment Strength
Trang 51f ps – UNBONDED TENDON
Load Balancing > Service Stresses > Design Moment Strength
Trang 52M n – UNBONDED TENDON
Load Balancing > Service Stresses > Design Moment Strength
Trang 53 Members with unbonded tendons must have a minimum area of bonded reinf.
Trang 54Load Balancing > Service Stresses > Design Moment Strength
Trang 55M n – UNBONDED TENDON INCORPORATE MILD STEEL
Load Balancing > Service Stresses > Design Moment Strength