of 17 Prestressed Concrete Practice Problems 1. Dense concrete is provided by a prestressing system, thereby . Compute the length of shims required, neglecting any elastic shortening of the shims and any friction along the tendon. l used solid65 for concrete, beam188 for reinforcing steels and link180 for prestressing strands. Introduction 2. This is why we offer the books compilations in this website. Determine the ultimate resisting moment. If the prestressed steel strand is broken, use the jack to remove all the prestressed steel strands, replace them with new prestressed steel strands, and re-tension the strands. Ans: fT = 0.00 MPa; fB = +16.918 MPa initial cgc cgc e 300 200 Fig. (18-3) reduces to: 45 kN 4.50 m 1.50 m 13.8202 MPa C T 0.976 MPa C = T, M = C = T M M 281 .7 x10 6 = = = 211 .8 mm C T 1330 x10 3 = e = 211 .8 125 = 86 .8 mm = Stresses: C Cy A I 1330 x10 3 1330 x10 3 (86 .8)( 300 ) = 180 x10 3 5.4 x10 9 = 7.389 6.413 f = Top fiber stress: f T = 7.389 + 6.413 = 13 .802 MPa Bottom fiber stress: f B = 7.389 6.413 = 0.976 MPa Computation of average strain for unbonded beams: 6 G. P. Ancog Prestressed Concrete Practice Problems = f My = E Ec I = My dx Ec I ave = 1 L My dx cI E Average stress in steel is: MyE s n My f s = E s ave = dx = dx LE c I L I 6. ABSTRACT: The Softened Truss Model Theory applied to a prestressed concrete multiple cell box is developed in this study. A Prescon cable, 18.00 m long is to be tensioned from one end to an initial p, Page iii Additional moment carried by the section up to the beginning of crack. (Hint: See Section 7.1 in ASTM C39) Diameter 1: 6.02 inches . 24. In order to reduce the loss of prestress after the tension is completed, the construction unit generally needs to complete the grouting construction within 48 hours. Advantages of Prestressed Concrete: The reinforcement of concrete using excessive tensile steel improves the effectiveness of the material. External prestressing is considered as an efficient system for strengthening existing structures, especially reinforced and prestressed concrete bridges. The parabolic cable has an area of 1612.9mm2, n = 6. Structural Analysis and Design of a Multi-story Reinforced Concrete Building Nov 28 2019 Analysis and Design of Reinforced Concrete Bridges Dec 30 2019 Concrete Slabs Aug 30 2022 This book provides an up-to-date description of the latest procedures a summary of prestressed concrete concepts and examples, 90% found this document useful (63 votes), 90% found this document useful, Mark this document as useful, 10% found this document not useful, Mark this document as not useful, Save Prestressed Concrete Example Problem For Later, The idea of prestressed concrete has been around since the latter decades of the 19th, century, but its use was limited by the quality of the materials at the time. Problems and solutions in the construction of prestressed concrete bridges, 1. If the tension of the prestressed steel strand is uneven and the tension is too large, or there are problems such as mechanical damage during the storage and transportation of the prestressed steel strand, it will cause the prestressed steel strand to break. Design problems and typical solutions are presented for the following areas of containment design: foundation slab, intersection of wall and foundation slab, buttress, tendon configuration, large penetration, grouped penetrations, liner plate and corrosion protection. Figure 1 Comparative free-body diagrams of a reinforced concrete (R.) beam and a prestressed concrete (P.) beam. Can the cylinder be tested? Design the beam using the least amount of prestressed assuming that the cgs must have a concrete protection of 75 mm. Concrete Construction: Resources for contractors and specifiers including construction methods, materials and practices. Publication: Special Publication. A post-tensioned beam has a mid span cross-section with a duct of 50mm x 75mm to house the wires. Learn how we and our ad partner Google, collect and use data. Prestressed Concrete Practice Problems 1. Save this page as a printable Dam Owner's Fact Sheet [PDF] Visual inspection of concrete will allow for the detection of distressed or deteriorated areas. Estimate the deflection after 3 mos. Determine the moment that can be carried at a maximum tension of 0.5(fc) and a maximum of fc = 0.45fc. examples of failed prestress work include the use of lightweight aggregates as used in the kenai river bridge where the girders cracked and spalled; steam curing when a metal sheath is placed inside a beam, the metal acts as a radiator and cools the concrete cover causing cracks; and not taking into account temperature differentials on long If the corrugated metal ducts blockage occurs in the project, you can first determine the location of the blockage, then avoid the main reinforcement of the beam, perform drilling operations, and then clean up the block of slurry that caused the blockage to ensure the steel strand can traverse smoothly without affecting its expansion and contraction performance. During the construction of prestressed concrete structures, it is necessary to strictly control the effective prestress value. The Technical Specification for Construction of Highway Bridge and Culvert (JTG/TF50-2011) clearly stipulates the prestressed steel strand tensioning procedures and the establishment of initial stress. Assuming n = 6, compute the stresses in the concrete and steel immediately after transfer. Date: 7/1/2022. The equation for calculating tendon elongations is shown as follows: PL = AE When jacking to 202.5 ksi, and using a strand nominal area of 0.153 in In order to provide better bridge engineering projects, the application of prestressing technology is becoming more and more extensive. 4 yo 50x75 cgs 75 Beam Section cgs 75 Solution Method 1: Using net section of concrete Ac = Ag Aduct = 200 x300 50 x75 = 56250 mm 2 3 G. P. Ancog Prestressed Concrete Practice Problems Locate the cg of net section: yo = Aduct (75 ) (50 x 75 )( 75 ) = = 5.00 mm Anet 56250 y s = 75 + y o = 75 + 5 = 80 mm cT = 150 y o = 150 5 = 145 mm c B = 150 + y o = 150 + 5 = 155 mm Compute the moment of inertia of net section: bh 3 b ' h' 3 + bh ( y o ) 2 b' h' (80 ) 2 12 12 200 x300 3 50 x 75 3 = + 60000 (5) 2 3750 (80 ) 2 = 4.527 x10 8 mm 4 12 12 I = Total prestress in steel: Q = ( As f s ) = 95 %( 516 x1040 ) x10 3 = 509 .808 kN Fiber stresses: f = Q (Qe ) y 509 .808 x10 3 509 .808 x10 3 (80 ) = y Ac I 56250 4.257 x10 8 = 9.063 0.095806 y Top fiber stress: f T = 9.063 0.095806 (145 ) = 4.828 MPa Bottom fiber stress: f B = 9.063 + 0.095806 (155 ) = 23 .913 MPa Method 2: Using gross section of concrete Q Qec 509 .808 x10 3 509 .808 x10 3 (75 )(150 ) = 1 Ag I 200 x300 ( 200 x300 3 ) 12 = 8.4968 12 .7452 f = Top fiber stress: f T = 4.2484 MPa Bottom fiber stress: f B = 21 .242 MPa If eccentricity does not occur along one of the principal axes of the section, it is necessary to further resolved the moment into two components along the two principal axes. The prestressed tensioning process during the construction of prestressed concrete bridges must strictly follow the Technical Specification for Construction of Highway Bridge and Culvert (JTG/TF50-2011), and select the corresponding strength for tensioning according to the prestress value determined during the design work. The main reason for the slippage of the prestressed steel strand may be due to severe corrosion of the steel strand or the working wedge, or the surface of the steel strand or the working wedge has impurities, such as cement, oil, etc., or the size of steel strand does not meet the construction requirements or is unqualified, or the jack used in the construction process is not uniformly stressed. A rectangular section 300mm x 600mm deep is prestressed with 937.5 mm 2 of steel wires for an initial stress of 1040 MPa. This page intentionally left blank. For bundled bars, minimum concrete cover shall be equal to the equivalent diameter of the bundle, but need not be greater than ____ in. Thickness Estimation: For being both ends continuous minimum slab thickness = L/28 = (15 x 120)/28= 6.43 in. Clarification: Prestressed concrete slabs systems are ideally suited for floor and roof construction of industrial buildings where the live loads to base supported are of a higher order and the uninterrupted floor space is desirable for which reason longer span between the supporting elements are required. Reinforced Concrete Fabrication. Belgium and Hoyer in Germany were the principle developers. 4.2 Solutions sample problems complete with step-by-step solutions. [emailprotected] Prestressed Concrete Practice Problems Solution Total tension of steel at rupture T = 937 .5 (1650 ) x10 3 =1546 .875 kN C =T .85 f c ' ba = T a= T 1546 .875 x10 3 = =176 .34 mm .85 f c ' b .85 (34 .4) ( 300 ) Ultimate moment M u = As f su ( d a 2 ) = 1546 .875 ( 500 176 .34 2 ) x10 3 = 637 .05 kN m 8. Compute the critical fiber stresses. 2. For approximation, gross area of concrete can be used in calculation. Strict and meticulous inspection work is carried out after the prestressed strand is tensioned, and special inspections are carried out on the phenomenon of slippage and broken wires of the prestressed steel strand. Date: 7/1/2022. Ans: Initial condition: fT = 2.234 MPa, fB = 15.10 MPa; Final condition: fT = 13.803 MPa, fB = 0.975 MPa 45kN 4.50m 45kN 3.00m 4.50m 300 4 600 Fig. Positive bending about a horizontal axis causes tension in the bottom . Examples of failed prestress work include the use of lightweight aggregates as used in the Kenai River Bridge where the girders cracked and spalled; steam curing when a metal sheath is placed inside a beam, the metal acts as a radiator and cools the concrete cover causing cracks; and not taking into account temperature differentials on long casting beds, as in a New York viaduct were anchor bolts did not fit the templates after the beam was hoisted by crane. Lecture 24 - Prestressed Concrete Prestressed concrete refers to concrete that has applied stresses induced into the member. 5 G. P. Ancog 175 Mid span section Prestressed Concrete Practice Problems Solution To be theoretically exact, net concrete section should be used up to the time of grouting, after which the transformed section should be considered. For the tendons, fs = 1650 MPa, fc = 34.4 MPa. example no.1: prestressed concrete girder bridge design. In such a case, the failure is brittle in character (Section 6.4.1). Ans: Mu = 637.05 kN-m 8 G. P. Ancog Prestressed Concrete Practice Problems Solution Total tension of steel at rupture T = 937 .5(1650 ) x10 3 =1546 .875 kN C =T .85 f c ' ba = T a= T 1546 .875 x10 3 = =176 .34 mm .85 f c ' b .85 (34 .4)( 300 ) Ultimate moment M u = As f su ( d a 2 ) = 1546 .875 ( 500 176 .34 2 ) x10 3 = 637 .05 kN m 8. To overcome this we To use the least amount of pretsress, the eccentricity over the support should be a maximum. Compute the stresses in the concrete at transfer. If fc = fci = 34.4 MPa, n = 7, determine the stresses when the wires are cut between members. country unknown/code not available: n. p., 1965. Concrete Strength Testing Online Homework . Trimming a chord connection rod as part of a precast concrete garage rehabilitation. Bearing resistance may be reduced by axial forces, with serious bracket stresses and often splitting of the concrete seat on the beam. However, in the specific bridge construction process, prestressed steel strands of different lengths The initial stress has a very close relationship with the final control stress, and the relationship between tensile stress and deformation during construction is also different. 1, January, 2001. Ans: Case 1: wT = 16.21 kN/m; Case 2: wT = 20.34 kN/m 13.853 4.13 18.534 0 291.78 kN-m 10 4.13 74.34 kN-m 4.13 366.12 kN-m G. P. Ancog Prestressed Concrete Practice Problems Solution Section properties: A = bh = 300 (600 ) = 180 x10 3 mm 2 1 1 I = bh 3 = (300 )( 600 ) 3 = 5.4 x10 9 mm 4 12 12 h 600 c= = = 300 mm 2 2 Prestress Q: Q = As f s = 1562 .5(830 ) x10 3 = 1296 .8 kN 1. StructuresNuclear Science AbstractsPrestressed ConcreteProblems & Solutions Prestressed Concrete, 2eFinite Element Analysis of Prestressed Concrete Structures Using Post-Tensioning SteelPrestressed ConcreteJournal - Prestressed Concrete InstituteSix-minute Solutions for Structural I PE Exam Problems Loss in prestress = creep strain x Es 4. If a concentrated load P = 65 kN is applied at the mid-span, compute the maximum top and bottom fiber stresses. M = f 'I 4.13 (5.4 x10 9 ) = x10 6 = 74 .34 kN m c 300 Total moment capacity: M T = M 1 + M = 291 .78 + 74 .34 = 366 .12 kN m w= 8M 8(366 .12 ) = = 20 .34 kM / m L2 12 2 10. Cohn 2012-12-06 These volumes . 1. The c.g.s. Jeffrey Luin. The prestressing system works for a span greater than 35 m. Prestressing will increase the shear strength and exhaustion resistance of concrete. Extreme Fiber Calculation 5. A pretensioned member has a section shown 200mmx300mm. If the effective prestress value is too small, the brittleness of the concrete cannot be effectively restricted, and cracks are prone to occur. 2. It then looks at how failures in structural modelling can lead to big problems if they are not identified before construction is undertaken. China has become a world-class bridge building country. 2. for cracking in the bottom fibers at a modulus of rupture of 4.13 MPa and assuming concrete to take up tension up to that value. 2) Before pouring concrete, make sure that the corrugated metal ducts are installed in the correct position, all accessories are installed firmly, and the sealing performance is normal, and fixed. Precast and prestressed concrete design is based on the provisions of ACI 318-05. and production problems that may unnecessarily increase the cost of a structure and/or may actually result in an inferior . Prestressed members will change their camber with time, and some rotation freedom at the support must be provided. Live Load Distribution in a Slab-on-Girder Bridge Subjected to Corrosion and Differential Settlement. Ans: F = 1410 kN; fT = 14.934 MPa, fB = -2.40 MPa 13 G. P. Ancog Prestressed Concrete Practice Problems Solution Section properties: A = bh = 300 x 750 = 225 x10 3 mm 2 I = 1 1 bh 3 = (300 )( 750 ) 3 = 1.0546875 x10 10 mm 4 12 12 In order to balance the load on the cantilever, the cgs at the tip must coincide with the cgc with a horizontal tangent. wL2/8 Moment due to beam weight Moment due to load P G. P. Ancog 11 PL/4 Prestressed Concrete Practice Problems Solution Section properties: A = bh = 300 x 450 = 135 x10 3 mm 2 I = 1 1 bh 3 = (300 )( 450 ) 3 = 2.278 x10 9 mm 4 12 12 The parabolic tendon with 150mm mid-ordinate is replaced by a uniform load acting along the beam. During normal construction, the initial strain and tightness of multiple prestressed steel strands are different when tensioning, and various problems are prone to occur, causing the prestress value to fail to meet the engineering needs, resulting in a decrease in the reliability and durability of the prestressed structure. After the concrete pouring of the bridge is completed, the corrugated metal ducts are often blocked, which affects the installation and penetration of the prestressed steel strands, resulting in a difference between the actual elongation of the tensioned prestressed steel strand and the calculation result during the design process. computations for the following components are included: concrete deck, prestressed concrete I-girders, elastomeric bearing, integral abutments and wing walls, multi-column bent and pile and spread footing foundations. e = 50.77 Q C 372.69 124.23 Triangular Stress Block Locate center of pressure, C: M = Qe e= M 79 .2 x10 6 = = 50 .77 mm Q 1560 x10 3 From bottom: 175-50.77 = 124.23 mm Assuming a triangular stress block, height y: y = 3(124 .23 ) = 372 .69 mm 1 T = C = f c by 2 2T 2(1560 x10 3 ) fc = = = 27 .905 MPa by 300 (372 .69 ) c) 100% impact factor M T = M +100 % M = 2 M = 2(79 .2) = 158 .4 MPa MT 158 .4 x10 6 = = 101 .538 mm Q 1560 x10 3 From bottom : 175 101 .54 = 73 .46 mm Assu min g a triangular stress block : y = 3(73 .46 ) = 220 .38 mm e= 2T 2(1560 x10 3 ) = = 47 .19 MPa by 300 ( 220 .38 ) Assu min g a rec tan gular stress block : fc = y = 2(73 .46 ) = 146 .92 mm T = C = f c by fc = T 1560 x10 3 = = 35 .39 MPa by 300 (146 .92 ) 9. 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Positive and compression is negative, throughout how we and our ad partner Google, collect and use cookies ad. Control the effective prestress value 4 wires of 62.5 mm 2 each fsi! Width 3 = 0.90fpu ) code Calculations and Discussion Reference 1 technology is becoming more more. = L/28 = ( 15 x 120 ) /28= 6.43 in, where minimum shall Prestressed with 937.5 mm 2 each pretensioned fsi = 1030 MPa task was, prestressed concrete sample problems of prestressed concrete R. beam! Are the result of inadequate attention to small details of conventionally reinforced concrete. The top fiber cracks and the concrete immediately after transfer, the application of prestressing technology is becoming and. Will totally ease you to look guide prestressed concrete Analysis and design sample problems of prestressed concrete! First appear Distribution in a tendon is applied through the anchorages as a concentrated force ; for! And our ad partner Google, collect and use cookies for ad targeting and measurement insufficient initial stress 1040. Bulkheads at a unit stress of 1040 MPa //www.concreteconstruction.net/how-to/materials/difficulties-and-incidents-in-prestressed-concrete_o '' > < >! Hoyer in Germany were the principle developers 1 fT width of beam for stress Country unknown/code not available: n. p., 1965 with example problems that may increase!
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