This worksheet using PTC Mathcad performs calculations to measure the traffic flow and evaluation assurance level for normal trucks and construction vehicles. Measuring Traffic Flow and EAL for Vehicles Material Properties, Development, and Splice Lengthsĭetermines factors and properties and defines constants required to compute shear strength, flexural strength, minimum thickness, and the development and splice lengths of reinforcing bars. This worksheet using Mathcad provides you with an example of how the shear force and the bending moment along a simply supported beam can be determined as a function of the distance from one end.Ĭomputes the stiffness reduction factors for inelastic behavior (Table A, page 3-8 of the AISC Manual), the stiffness ratios at the ends of the column (G values), and the effective length factor k for sidesway permitted. This worksheet using PTC Mathcad models the low water crossing geometry as a trapezoid to find the height, width, and velocity of the water in a channel.įinding the Shear Force and Bending Moment Along a Beam This worksheet illustrates PTC Mathcad's ability to solve a set of nonlinear coupled equations for several unknowns, where the unknowns each have different units.įinding Channel Height, Channel Width, and Velocity of Water A single story, all stories, or selected stories may be entered.Ĭomputes elastic effective length factors for braced or unbraced frames using PTC Mathcad solve blocks to solve the equations for effective length factors, eliminating the need to use the alignment chart in the AISC Standards Commentary.Įxample of Solving a Set of Coupled, Non-linear Equations with Units
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This worksheet shows you how to compare the air pressure versus elevation when calculating the air volume in an air and aerated mud drilling.Ĭalculates the horizontal shear and section properties for composite steel beam and concrete slab sections with solid slabs, composite steel decks, or haunches.Ĭalculates bending moments for continuous rectangular or T-shaped beams using ACI coefficients and determines the required number and size of reinforcing bars.Ĭalculates bending moments using ACI coefficients, and determines the required reinforcing-bar spacing for continuous one way slabs.Ĭomputes the section properties of the peripheral shear area around square or rectangular, interior, exterior or corner columns, useable shear stress at factored load, and the shear stresses at the four corners of the shear area due to axial load and bending moments about one or both axes.ĭirect Design Moments and Flexural ReinforcementĬalculates the service loads, the factored loads, the bending moments and the required flexural reinforcement for two-way reinforced concrete slab systems of uniform thickness.Ĭalculates the effective length factors and critical loads for rectangular columns in braced or unbraced frames. This worksheet using PTC Mathcad looks at a problem where a portion of a pipe containing two discharges is bolted to the remainder at the flange and is interested in solving for the tensile forces in the bolts at the flange required to hold the pipe in place.Ĭomparing Air Pressure and Elevation for Air Volume Calculations Locates the centroid of axially loaded, as driven pile groups, calculates the eccentricities between the column center and the centroid of the pile group.Ĭalculates the maximum positive bending moment, the maximum deflection, and the points of inflection for a beam with a uniformly distributed load and applied end moments.Ĭalculating the Tensile Stress and Tensile Forces in the Bolts of a Flange Pipe The worksheet shows you how to find the depth of flow downstream of the bridge piers so that the flow regime remains subcritical. For this problem, the pier width, upstream depth of the river and velocity, and the drag coefficient of the piers are given. This worksheet shows the application of the momentum equation to determine the water depth between bridge piers. All worksheets created in PTC Mathcad Prime 2.0.Ĭomputes net pressures on the bulkhead, required depth of embedment of the sheet piles, maximum bending moment and the bending moment at the tie rod anchor point.Īpplying the Momentum Equation to Determine Water Depth between Bridge Piers Worksheets marked with use PTC Mathcad premium features, otherwise they are Express compatible. Building Thermal Analysis - covers the major topics of heat transfer and thermal dynamics in buildings.Building Structural Design - solves typical problems encountered in the structural design of buildings.
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