The prestressing stress (or force) applied to . Here is how the Initial Strain in Terms of Initial Prestressing Force calculation can be explained with given input values -> 0.05 = 200000/(2E-05*200000000000). To use this online calculator for Initial Strain in Terms of Initial Prestressing Force, enter Initial prestress force (Pi), Area of prestressing steel (Ap) & Modulus of Elasticity of Steel Reinforcement (Es) and hit the calculate button. Initial strain here refers to the initial or immediate amount of strain in steel. Here is how the Initial Strain in Terms of Initial Prestressing Force calculation can be explained with given input values -> 0.05 = 200000/(2E-05*200000000000). c) at time of prestressing A ps = 3 - " dia. Prestress Loss 2. A high degree of workmanship and control is required. = 0.20, K = 0.0002 (informational only). What are the disadvantages of prestressed concrete? force in the strand by two inde-pendent methods. The Prestressing Force after Immediate Loss given the Initial Prestress defines the relation between the initial prestressing force on the section and the force immediately after the stress loss and is represented as. 10+ Pre-Tensioned Axial Members Calculators, Initial Strain in Terms of Initial Prestressing Force Formula. If there is, apply the ratio of the difference to correct the values. How to calculate Initial Strain in Terms of Initial Prestressing Force? Initial Strain in Terms of Initial Prestressing Force calculator uses Initial strain = Initial prestress force/(Area of prestressing steel*Modulus of Elasticity of Steel Reinforcement) to calculate the Initial strain, The Initial Strain in Terms of Initial Prestressing Force in the above equation is found out by considering the initial prestress force over the cross sectional area of steel(tendons). The reduced value of prestress you are seeing (2756kN from 2855) is the reduced value of prestress before immediate losses. The disadvantages of prestressed concrete include: To use this online calculator for Initial Strain in Terms of Initial Prestressing Force, enter Initial prestress force (Pi), Area of prestressing steel (Ap) & Modulus of Elasticity of Steel Reinforcement (Es) and hit the calculate button. 2). Area of prestressing steel is the total cross sectional area of tendons. Likewise, the calculation for the reduced value of the prestressing force (2756.466kN) does not appear to align with the requirements of EC2 Cl 5.10.3(2). The prestressing stress (or force) . in., dividing the total initial force by this area results in a compressive stress over the total transformed area of 303.75/109 = Expensive equipment is needed and there are complex safety requirements. The value of the initial prestress force Pm0(x) (at time t = t0) applied to the concrete immediately after tensioning and anchoring (post-tensioning) or after transfer of prestressing (pre-tensioning) is obtained by subtracting from the force at tensioning Pmax the immediate losses Pi(x) and should not exceed the following value: However, it is sufficiently accurate to base the elastic shortening loss on the initial prestress force Po, assumed constant along the member. The Initial Strain in Terms of Initial Prestressing Force in the above equation is found out by considering the initial prestress force over the cross sectional area of steel(tendons) is calculated using. Area of concrete is defined as concrete area in beam or column excluding reinforcement. Initial Strain in Terms of Initial Prestressing Force calculator uses. Force (kips) Initial Percent of Ultimate Load (%) Residual Load at 72 Hours (kips) Percent Stress Loss At 72 Hours (%) 34 82.3 26 23.5 28 67.8 27 3.6 This example indicates that strand, when kept in an overstressed condition (greater than 0.75 f' s), results in a significant reduction of prestressing force due to the change in creep . Beam length 3.5m. It is not, however, necessary to as-sume all losses will have . How to calculate Initial Strain in Terms of Initial Prestressing Force using this online calculator? Therefore the initial stressp.ef, s = 160 / 415.27 s = 385.3 MPa Hence, as described earlier, a prestressing force of 160 kN was induced onto the section, and using the theoretical prediction equation 3.9 the ultimate stress can be found. 7 losses in prestress 1. Expensive equipment is needed and there are complex safety requirements. 10+ Pre-Tensioned Axial Members Calculators, Modulus of Elasticity of Steel Reinforcement, Prestressing Force after Immediate Loss given the Initial Prestress Formula. After initially tensioning the strand to re-move slack, an operator applies the final prestressing force, which is read from a hy-draulic gauge mounted on the tensioning jack. Ask the community or share your knowledge. The force is then checked by measur-ing strand elongation and comparing this measured value with a theoretical (calculat- How to calculate Prestressing Force after Immediate Loss given the Initial Prestress? The values of k7 and k8 are used to check the prestressing stresses at transfer after all immediate losses are considered and if these are exceeded then the initial prestressing needs to be reduced. We can use 1 other way(s) to calculate the same, which is/are as follows -, Initial Strain in Terms of Initial Prestressing Force Calculator. Unlike structural steel, concrete is neither elastic nor time-independent. Let me start with your last point in that there is no way to alter the initial prestress. i) at the point of no movement = 0.802. Special alloy steels are more expensive than traditional steels used in reinforced concrete. Share your knowledge, ask questions, and explore popular Structural Bridge Design topics. b) At ultimate, during extreme events. An initial tension load of between 5% and 25% of the final load is applied to the strands to take out slack and establish an initial point for the measurement of elongation. 10+ Pre-Tensioned Axial Members Calculators, Initial Strain in Terms of Initial Prestressing Force Formula. Most common method of prestressing used for factory production is a) Long line method b) Freyssinet system c) Magnel-Blaton system Initial prestress Fig. What is Initial Strain in Terms of Initial Prestressing Force? Special alloy steels are more expensive than traditional steels used in reinforced concrete. Here is how the Prestressing Force after Immediate Loss given the Initial Prestress calculation can be explained with given input values -> 400 = 200000*0.001/0.0005. What is Initial Strain in Terms of Initial Prestressing Force? Chandana P Dev has created this Calculator and 600+ more calculators! What is initial prestressing force? Solved by dave_geeves. a) At service, during operation. ~=_2_EP S 1-b fsi (8) This equation gives a relationship between the transfer length, the draw-in and the initial prestress. g g g 2 i g i cir cir I M e I P e A P f K = + (Eq. The determination of initial cable forces in a prestressed concrete cable-stayed bridge for a given vertical profile of deck under its dead load is an important but difficult task that affects. Similarly, the equivalent eccentricity of the side span can be written as follows: Substituting ( 11) into ( 2 ), we can get Equation ( 23) is the free vibration equation of the multispan externally prestressed concrete beam and the section rigidity and beam length can be modified as follows. Two types of prestressed concrete can be distinguished depending on when the steel is tensioned. Initial prestressing force = 173.3 k: From Figures 2-5 and 2-6, the distance from the bottom of the beam to the centroid of Group 3 is 4.0 in. How to calculate Initial Strain in Terms of Initial Prestressing Force using this online calculator? How many ways are there to calculate Prestressing force Po? The sum of the top and bottom prestressing forces is 2874.3975kN (2432.1825 + 442.215) - so where is the value of 2855kN coming from? In this formula, Prestressing force Po uses Initial prestress force, Area of concrete & Transformed area of prestress section. (7.29) where [ KL] 0 is the initial linear stiffness matrix, [ KL] 0 is the initial nonlinear stiffness matrix, { U } 0 is the variation of the coordinate, { P } 0 is the prestressed force, and { R } 0 is the residual force or imbalance force at each node. 2. Ratio of transfer length to draw-in vs. initial prestress and power of bond stress-slip relationship. The Initial Strain in Terms of Initial Prestressing Force in the above equation is found out by considering the initial prestress force over the cross sectional area of steel(tendons) and is represented as. By my calculation this should be: I have included the material properties for the prestressing tendons as a screenshot. Prestressing force Po is denoted by Po symbol. Initial prestress force is the force which is applied to the tendons by the jack. Area of prestressing steel is the total cross sectional area of tendons. 1) Initial : It can be subdivided into two stages. To use this online calculator for Initial Strain in Terms of Initial Prestressing Force, enter Initial prestress force (Pi), Area of prestressing steel (Ap) & Modulus of Elasticity of Steel Reinforcement (Es) and hit the calculate button. I must admit that the calculations are not as clear as they could be for this case, which I have raised with the developers before, but I do believe they are essentially correct. The initial prestress force of a cable is calculated using below empirical formula: where F is the initial prestress force, is the yield stress of the cable, and A is the cross-sectional area of the cable. Prestressing Force after Immediate Loss given the Initial Prestress Solution. We can use 1 other way(s) to calculate the same, which is/are as follows -, Initial Strain in Terms of Initial Prestressing Force Calculator. Prestressing Force after Immediate Loss given the Initial Prestress calculator uses. To change these values, you will need to use the general NDP form from the options menu. Initial Strain in Terms of Initial Prestressing Force calculator uses. The disadvantages of prestressed concrete include: Welcome to Autodesks Structural Bridge Design Forums. The loss of stress in the tendon is therefore still given by Equation 4.1. Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness. 3) Final : It can be subdivided into two stages. The disadvantages of prestressed concrete include: How to Calculate Initial Strain in Terms of Initial Prestressing Force? In practice, the force in post-tensioned members at transfer is not constant owing to friction. Prestress does not remain constant (reduces) with time. What is Initial Strain in Terms of Initial Prestressing Force? Prestressing Force after Immediate Loss given the Initial Prestress calculator uses Prestressing force Po = Initial prestress force*Area of concrete/Transformed area of prestress section to calculate the Prestressing force Po, The Prestressing Force after Immediate Loss given the Initial Prestress defines the relation between the initial prestressing force on the section and the force immediately after the stress loss. However, the immediate losses are calculated as a function of the initial prestress, so this becomes an iterative procedure. How to calculate Initial Strain in Terms of Initial Prestressing Force? Initial prestress force = Prestressing force Po*Transformed area of prestress section/Concrete Area Go Strain in Concrete in Terms of prestressing Force after Immediate Loss Strain in concrete = Prestressing force Po/ (Concrete Area*Modulus of Elasticity Concrete) Go Prestress Force After Immediate Loss when Prestress Drop is Given Here is how the Initial Strain in Terms of Initial Prestressing Force calculation can be explained with given input values -> 0.05 = 200000/(2E-05*200000000000). The cables can be tensioned before concreting the element - pre-tension - or after - post-tension. You mention that you could manually change k7and k8, but in fact it is more common to limit k1 and/or k2 (Cl 5.10.2.1), which is not exposed in the materials form. How to Calculate Prestressing Force after Immediate Loss given the Initial Prestress? Initial Strain in Terms of Initial Prestressing Force calculator uses. Modulus of Elasticity of Steel Reinforcement: Chandana P Dev has created this Calculator and 600+ more calculators! 10+ Pre-Tensioned Axial Members Calculators, Initial Strain in Terms of Initial Prestressing Force Formula. What are the disadvantages of prestressed concrete? Initial Strain in Terms of Initial Prestressing Force, Residual Strain in Terms of Prestressing Force after Immediate Loss, Prestressing Force after Immediate Loss given the Initial Prestress, Initial prestress when prestress after immediate loss is given, Strain in Concrete in Terms of prestressing Force after Immediate Loss, Prestress Force After Immediate Loss when Prestress Drop is Given, Prestress Drop when Pressure After Immediate Loss is Known, Modular Ratio when Prestress after Immediate Loss is Known, Residual Strain in Steel for Known Strain due to Elastic Shortening, Initial Strain in Steel for Known Strain due to Elastic Shortening. Initial Strain in Terms of Initial Prestressing Force calculator uses Initial strain = Initial prestress force / Area of prestressing steel * Modulus of Elasticity of Steel Reinforcement to calculate the Initial strain, The Initial Strain in Terms of Initial Prestressing Force in the above equation is found out by considering the initial prestress force over the cross sectional area of steel . Steel is not necessarily in direct contact with concrete. Prestressing tendons are installed and jacked to provide an initial prestress of 200 psi and final prestress of 175 psi across the transverse joints of the slabs. The stages of loading are as follows. Mithila Muthamma PA has verified this Calculator and 800+ more calculators! How to calculate Initial Strain in Terms of Initial Prestressing Force using this online calculator? 3) where Kcir = 0.9 for pretensioned members Pi = initial prestress force (after anchorage seating loss) e = eccentricity of center of gravity of . How many ways are there to calculate Initial strain? Thanks also for including a couple of screen shots to help explain your query, but if you have any further questions on this it is better if you also zip up a copy of your data file and attach it to the post as it makes it easier to directly replicate your issues. The value of prestress that you have calculated, using k7 and k8, is the value that you would expect when all immediate losses have been considered. The elongations for the side of initial prestress is 8mm for both beams, and for the other side, 70%fpu beam has 20mm, 35%fpu beam has 12mm. Thanks for an interesting question, and it is good to know that the printed output is being checked occasionally to verify the results. Initial strain here refers to the initial or immediate amount of strain in steel. The disadvantages of prestressed concrete include: How to Calculate Initial Strain in Terms of Initial Prestressing Force? a) During tensioning of steel b) At transfer of prestress to concrete. With reference to the attached screenshots, I was hoping someone could explain how ASBD is calculating the total initial prestressing force (without reductions). R = ratio of initial stress to yield stress This description of stress relaxation is a simple, straight line semi-log curve with 0% SR at 1.0 hr., and with the slope dependent upon the initial stress level . Initial Strain in Terms of Initial Prestressing Force Solution, Modulus of Elasticity of Steel Reinforcement. 3 - See Section 5.5 for prestressing forces Sample Calculations for Flexural Stresses at Transfer Definitions: P t = Initial prestressing force taken from Table 5.5-1 (kips) A g = Gross area of the basic beam (in2) e = Distance between the neutral axis of the noncomposite girder and the center of gravity of the prestressing steel (in.) Go to Solution. Initial Strain in Terms of Initial Prestressing Force calculator uses Initial strain = Initial prestress force/(Area of prestressing steel*Modulus of Elasticity of Steel Reinforcement) to calculate the Initial strain, The Initial Strain in Terms of Initial Prestressing Force in the above equation is found out by considering the initial prestress force over the cross sectional area of steel(tendons). This page has been translated for your convenience with an automatic translation service. Mithila Muthamma PA has verified this Calculator and 800+ more calculators! What is Prestressing Force after Immediate Loss given the Initial Prestress? Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type. If all iterative calculations were shown in the output then there would be 10s of pages, so only the last converged value is used in the printed results. Initial strain is denoted by pi symbol. Compression is positive. Initial Strain in Terms of Initial Prestressing Force Solution, Modulus of Elasticity of Steel Reinforcement. The definition of the variables in the above equation and their values for this example are as follows: A ps = area of prestressing steel (in 2) . Back to Structural Bridge Design Category. Prestressing force Po = Initial prestress force*Area of concrete/Transformed area of prestress section Po = Pi*Ac/At This formula uses 4 Variables Variables Used Prestressing force Po - (Measured in Newton) - Prestressing force Po is the prestressing force after immediate losses. The Initial Strain in Terms of Initial Prestressing Force in the above equation is found out by considering the initial prestress force over the cross sectional area of steel(tendons) is calculated using. Area of prestressing steel is the total cross sectional area of tendons. The Initial Strain in Terms of Initial Prestressing Force in the above equation is found out by considering the initial prestress force over the cross sectional area of steel(tendons) and is represented as. The equation for stress in the prestressing steel at a distance x from the jacking end of the frame is: (Equation 1) . Initial Strain in Terms of Initial Prestressing Force Solution, Modulus of Elasticity of Steel Reinforcement. c) to impart initial compressive stress in concrete d) all of the above Ans: c 139. We can use 1 other way(s) to calculate the same, which is/are as follows -, Initial Strain in Terms of Initial Prestressing Force Calculator. I believe the software does this until an appropriate convergence is reached and then reports a %age of the initial prestress that needs to be used (an information message pops up when the calcs are performed). 186 230 230 168 Introduction In prestressed concrete applications, most important variable is the prestress. In this formula, Initial strain uses Initial prestress force, Area of prestressing steel & Modulus of Elasticity of Steel Reinforcement. prestressing force immediately after the prestress has been applied to the concrete. The Prestressing Force after Immediate Loss given the Initial Prestress defines the relation between the initial prestressing force on the section and the force immediately after the stress loss is calculated using. EQUATION SET DEVELOPMENT The use of these equations requires a preliminary estimate of the effective-ness ratio,R. Initial Strain in Terms of Initial Prestressing Force, Residual Strain in Terms of Prestressing Force after Immediate Loss, Prestressing Force after Immediate Loss given the Initial Prestress, Initial prestress when prestress after immediate loss is given, Strain in Concrete in Terms of prestressing Force after Immediate Loss, Prestress Force After Immediate Loss when Prestress Drop is Given, Prestress Drop when Pressure After Immediate Loss is Known, Modular Ratio when Prestress after Immediate Loss is Known, Residual Strain in Steel for Known Strain due to Elastic Shortening, Initial Strain in Steel for Known Strain due to Elastic Shortening. Mithila Muthamma PA has verified this Calculator and 800+ more calculators! If transformed properties are used the section area becomes 10*10 + 1.5(7.0 - 1) = 109 sq. 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