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qr code with logo c# Mathematical Approach in Software
534 Mathematical Approach Draw UPC  13 In None Using Barcode creation for Software Control to generate, create EAN13 Supplement 5 image in Software applications. UPC  13 Scanner In None Using Barcode recognizer for Software Control to read, scan read, scan image in Software applications. The following parameters need to be considered in analysis: 1 2 3 4 5 Plan aspect ratio Skew angles and curved slabs Number of girders Spacing of girders Boundary conditions: Simply supported Continuous Fixed Girders framing into integral abutments Girders framing into semiintegral abutments Fascia girder de ections are also affected by the thickness of the sidewalk on the cantilever side Hence, variations in the deck slab thickness need to be considered for fascia girders for bridge decks with sidewalks For serviceability and durability, the maximum live load de ection calculated from any of the above methods must be less than the AASHTO criteria GTIN  13 Generator In Visual C#.NET Using Barcode creation for VS .NET Control to generate, create GS1  13 image in VS .NET applications. Encode European Article Number 13 In .NET Using Barcode creation for ASP.NET Control to generate, create EAN 13 image in ASP.NET applications. LOAD AND RESISTANCE FACTOR RATING AND REDESIGN
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Generate GS1128 In None Using Barcode drawer for Software Control to generate, create USS128 image in Software applications. Print EAN13 In None Using Barcode creator for Software Control to generate, create GTIN  13 image in Software applications. Large de ections in a single span truss (Figure 55) require nonlinear analysis since the load de ection curve becomes nonlinear when compared to continuous span de ections 1 Large de ection causes fracture and debonding of the wearing surface due to excessive work done In timber construction, fasteners loosen 2 Stiffness of entire deck width considered: De ection DF Number of lanes/number of lanes 3 Additional shear de ection occurs under heavy truck load, especially for cantilever overhangs 4 Arching action at the supports in composite deck slabs may reduce de ection Encode Code 128A In None Using Barcode printer for Software Control to generate, create Code 128 Code Set A image in Software applications. Create Barcode In None Using Barcode creator for Software Control to generate, create barcode image in Software applications. 536 Primary Effects of De ections
USD  8 Creator In None Using Barcode drawer for Software Control to generate, create Code 11 image in Software applications. Generate USS128 In None Using Barcode printer for Font Control to generate, create UCC.EAN  128 image in Font applications. 1 The two design criteria for strength and de ection are linked together When there is no de ection, there is no stress The higher the de ection, the higher the slope and resulting curvature (Figure 55) An increase in curvature gives rise to an increase in bending moment Barcode Scanner In C# Using Barcode recognizer for .NET framework Control to read, scan read, scan image in Visual Studio .NET applications. Scanning Code 39 In VB.NET Using Barcode recognizer for .NET framework Control to read, scan read, scan image in .NET framework applications. Figure 54 Use of three column hammerhead piers in place of wall piers
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Matrix Barcode Encoder In Java Using Barcode generator for Java Control to generate, create 2D Barcode image in Java applications. Encode EAN 13 In Java Using Barcode encoder for Java Control to generate, create EAN13 image in Java applications. STRENGTHENING AND REPAIR WORK
Figure 55 Positive and negative curvature in trusses
and bending stress Strength is based on ultimate load conditions, while de ection is based on service conditions Total de ection due to dead and live load plus impact will not exceed yield stress 2 Sophistications in today s bridge designs combined with advances in development of high performance materials of various grades demands an equally advanced and sophisticated approach to considering serviceability and durability requirements such that it will not negate the economic bene ts of advances made in material development A simple example of a simply supported beam is used to demonstrate why present serviceability requirements (eg, de ection limits) can have such a signi cant impact on the design of HPS girder bridges The maximum moment, Mmax, which is equal to PL/4, is used in strengthbased design to size the member cross section 3 According to Saadeghvaziri of NJIT, the exural equation stressload relation can be represented as follows: Mc/I PLc/4I (51) In this equation, c is distance to extreme bending ber and I is moment of inertia In typical designs the above equation is solved for required moment of inertia to determine the section geometry Subsequently, de ection is determined based on the following equation and checked against codes limits 4 Maximum de ection, max PL3 /48EI (52) For most cases the de ection limits are easily satis ed, often with a large margin However, existing de ection limits negate the economical use of high performance materials because the original basis for these limits were not well established, and they did not consider existing bridge systems and the range of materials currently available 5 Developing a de ectionstrength relation: The required moment of inertia, I, is determined based on material strength PLc/4 As can be seen, the higher the material strength the lower the required moment of inertia The required moment of inertia considering de ection limit: I PL3 /48E lim (53)

