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The loss of the first prestressing force by the second prestressing force is 8.702% of the prestressing force, 4.286tf. 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. g g g 2 i g i cir cir I M e I P e A P f K = + (Eq. 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 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 . This is not an official translation and may contain errors and inaccurate translations. i) at the point of no movement = 0.802. The cables can be tensioned before concreting the element - pre-tension - or after - post-tension. Go to Solution. Initial strain is denoted by pi symbol. The reduced value of prestress you are seeing (2756kN from 2855) is the reduced value of prestress before immediate losses. How to calculate Initial Strain in Terms of Initial Prestressing Force using this online calculator? Initial prestress calculations With reference to the attached screenshots, I was hoping someone could explain how ASBD is calculating the total initial prestressing force (without reductions). Introduction In prestressed concrete applications, most important variable is the prestress. Design Step 5.4.4 - Calculate the prestressing stress at transfer fpt = Stress immediately prior to transfer - fpES = 202.5 - 13.7 = 188.8 ksi Design Step 5.4.5 - Calculate the prestressing force at transfer Pt = Nstrands(Aps)(fpt) = 44(0.153)(188.8) = 1,271 kips (initial loss = 6.77%) Prestressing Force after Immediate Loss given the Initial Prestress calculator uses. Compression is positive. Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness. Autodesk does not warrant, either expressly or implied, the accuracy, reliability or completeness of the information translated by the machine translation service and will not be liable for damages or losses caused by the trust placed in the translation service. 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: Stages of Loading The analysis of prestressed members can be different for the different stages of loading. 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. Most common method of prestressing used for factory production is a) Long line method b) Freyssinet system c) Magnel-Blaton system The disadvantages of prestressed concrete include: How to calculate Prestressing Force after Immediate Loss given the Initial Prestress using this online calculator? prestressing force immediately after the prestress has been applied to the concrete. 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 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 Stages of Loading The analysis of prestressed members can be different for the different stages of loading. Initial Strain in Terms of Initial Prestressing Force calculator uses. If transformed properties are used the section area becomes 10*10 + 1.5(7.0 - 1) = 109 sq. Initial strain here refers to the initial or immediate amount of strain in steel. 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. Special alloy steels are more expensive than traditional steels used in reinforced concrete. Load condition Erection time Formula Average Initial prestress 1 + [C.sub.a] 1.96 Prestress loss [[alpha].sub.a] (1 + 1.00 [chi] . Prestress Loss 2. The disadvantages of prestressed concrete include: Welcome to Autodesks Structural Bridge Design Forums. Solved by dave_geeves. 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. Ask the community or share your knowledge. Initial strain here refers to the initial or immediate amount of strain in steel. Normally prestressing wires are arranged in the a) upper part of the beam b) lower part of the beam c) center d) anywhere Ans: b 140. Share your knowledge, ask questions, and explore popular Structural Bridge Design topics. 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. 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). This is defined' as the ratio of the effective prestressing force after all losses have occurred,P,, to the initial prestress force immediately after trans-fer,P,. What is Prestressing Force after Immediate Loss given the Initial Prestress? 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 The disadvantages of prestressed concrete include: How to Calculate Initial Strain in Terms of Initial Prestressing Force? Ron (Structural) 9 Apr 17 03:04 Re-calibrate the jack and see if there's a difference. Finally, on a similar point, I have not yet found a way to directly amend the initial prestressing force applied to the tendons other than manually amending the values for k7 and k8. 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. The disadvantages of prestressed concrete include: How to Calculate Initial Strain in Terms of Initial Prestressing Force? Transformed area of prestress section is the area of the member when steel is substituted by an equivalent area of concrete. The equation for stress in the prestressing steel at a distance x from the jacking end of the frame is: (Equation 1) . 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. Expensive equipment is needed and there are complex safety requirements. 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. 2. This page has been translated for your convenience with an automatic translation service. 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. The loss of stress in the tendon is therefore still given by Equation 4.1. The disadvantages of prestressed concrete include: Chandana P Dev has created this Calculator and 600+ more calculators! The stages of loading are as follows. How to calculate Prestressing Force after Immediate Loss given the Initial Prestress? Area of prestressing steel is the total cross sectional area of tendons. So, to limit the initial prestress (before any loss whatsoever) to 70% of fpk, you would set k1 to 0.7 (where the recommended value is 0.8). 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. Ratio of transfer length to draw-in vs. initial prestress and power of bond stress-slip relationship. The initial force coefficient (FC. 2) Intermediate : This includes the loads during transportation of the prestressed members. Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness. 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. Modulus of Elasticity of Steel Reinforcement: Chandana P Dev has created this Calculator and 600+ more calculators! It is not, however, necessary to as-sume all losses will have . Mithila Muthamma PA has verified this Calculator and 800+ more calculators! 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). (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. When I was first introduced to Eurocodes, I found this quite difficult to fathom, especially when comparing it to the simpler approach we adopted in BS5400 but I have now got used to it. 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 . 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. To use this online calculator for Prestressing Force after Immediate Loss given the Initial Prestress, enter Initial prestress force (Pi), Area of concrete (Ac) & Transformed area of prestress section (At) and hit the calculate button. Even during prestressing of tendons, and transfer of prestress, there is a drop of prestress from the initially applied stress. In this formula, Initial strain uses Initial prestress force, Area of prestressing steel & Modulus of Elasticity of Steel Reinforcement. What are the stages of loading in prestressing process? A high degree of workmanship and control is required. How many ways are there to calculate Initial strain? 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. The prestressing stress (or force) . 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. How many ways are there to calculate Initial strain? 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). What are the disadvantages of prestressed concrete? Initial strain is denoted by pi symbol. 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? With reference to the attached screenshots, I was hoping someone could explain how ASBD is calculating the total initial prestressing force (without reductions). Initial prestress force is the force which is applied to the tendons by the jack. Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type. The stages of loading are as follows. Prestress does not remain constant (reduces) with time. c) to impart initial compressive stress in concrete d) all of the above Ans: c 139. 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. Expensive equipment is needed and there are complex safety requirements. EQUATION SET DEVELOPMENT The use of these equations requires a preliminary estimate of the effective-ness ratio,R. Unlike structural steel, concrete is neither elastic nor time-independent. 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. Initial Strain in Terms of Initial Prestressing Force calculator uses. 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. What is Initial Strain in Terms of Initial Prestressing Force? Special alloy steels are more expensive than traditional steels used in reinforced concrete. 10+ Pre-Tensioned Axial Members Calculators, Initial Strain in Terms of Initial Prestressing Force Formula. We can use 1 other way(s) to calculate the same, which is/are as follows -, Prestressing Force after Immediate Loss given the Initial Prestress Calculator. It is also called as the reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction. = initial prestressing force in the group of strands be-ing considered, just before release to the concrete member Equation (2) is valid for one-point depression, two-point depression, and straight strands by properly defining (e e - e c) and b. However, the immediate losses are calculated as a function of the initial prestress, so this becomes an iterative procedure. 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 . The disadvantages of prestressed concrete include: How to Calculate Initial Strain in Terms of Initial Prestressing Force? 10+ Pre-Tensioned Axial Members Calculators, Initial Strain in Terms of Initial Prestressing Force Formula. Initial prestress Fig. Thanks for your thorough response - much appreciated. 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? Initial Strain in Terms of Initial Prestressing Force Solution, Modulus of Elasticity of Steel Reinforcement. 7-wire strands @ 0.153 in 2 per strand = 0.459 in2 f pu = 270 KSI (using an ordinary 7-wire strand) Initial prestress force, P s = 70%(f pu)(A ps) Service dead load, (NOT including beam weight) = 400 PLF Service beam weight = 188 PLF Service live load = 1500 PLF REQUIRED: (8) provides values between 320 and 600 (see Fig. 186 230 230 168 How many ways are there to calculate Prestressing force Po? 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 prestress force is the force which is applied to the tendons by the jack. Beam length 3.5m. Let me start with your last point in that there is no way to alter the initial prestress. How to calculate Initial Strain in Terms of Initial Prestressing Force? Area of concrete is defined as concrete area in beam or column excluding reinforcement. Modulus of Elasticity of Steel Reinforcement: Chandana P Dev has created this Calculator and 600+ more calculators! Initial strain here refers to the initial or immediate amount of strain in steel. 7.6.4.2.3 Form Finding Mithila Muthamma PA has verified this Calculator and 800+ more calculators! The prestressing stress (or force) applied to . To change these values, you will need to use the general NDP form from the options menu. 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). 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. 1) Initial : It can be subdivided into two stages. Prestressing force Po is the prestressing force after immediate losses. In this formula, Initial strain uses Initial prestress force, Area of prestressing steel & Modulus of Elasticity of Steel Reinforcement. However, it is sufficiently accurate to base the elastic shortening loss on the initial prestress force Po, assumed constant along the member. 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. 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). Area of prestressing steel is the total cross sectional area of tendons. Thanks. For practical cases, Eq. in., dividing the total initial force by this area results in a compressive stress over the total transformed area of 303.75/109 = 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 . How to calculate Initial Strain in Terms of Initial Prestressing Force using this online calculator? Special alloy steels are more expensive than traditional steels used in reinforced concrete. Mithila Muthamma PA has verified this Calculator and 800+ more calculators! In this formula, Prestressing force Po uses Initial prestress force, Area of concrete & Transformed area of prestress section. Initial strain is denoted by pi symbol. Initial Strain in Terms of Initial Prestressing Force Solution, Modulus of Elasticity of Steel Reinforcement. The equation given is as follows: % SR = [lift (R 0.55) X 100 (1) for R > 0.55 where % SR = % stress relaxation t = test time in hrs. 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.) In this formula, Initial strain uses Initial prestress force, Area of prestressing steel & 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) . What are the disadvantages of prestressed concrete? Area of prestressing steel is the total cross sectional area of tendons. 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