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Verification Examples
Beam in Flexure According to ADM
Verify that a beam of different cross-sections made of Alloy 6061-T6 is adequate for the required load, in accord with the Aluminium Design Manual.
Beam in Axial Compression According to ADM
Determine the allowable axial compressive strength of a pinned 8 ft long beam of various cross-sections made of Alloy 6061-T6 and laterally restrained to prevent buckling about its weak axis in accord with the Aluminium Design Manual.
Moment Frame Design According To AISC C.1A
Determine the required strengths and effective length factors for the ASTM A992 material columns in the moment frame shown in Figure 1 for the maximum gravity load combination, using LRFD and ASD.
W-Shape Tension Member According to AISC D.1
An ASTM A992 W-shape member is selected to carry a dead load of 30.000 kips and a live load of 90.000 kips in tension. Verify the member strength by both LRFD and ASD.
W-Shape Column Design with Pinned Ends According to AISC E.1A
An ASTM A992 14×132 W-shape column is loaded with the axial compression forces given. The column is pinned top and bottom in both axes. Determine whether the column is adequate to support the loading shown in Figure 1 based on LRFD and ASD.
W-Shape Flexural Member Design According to AISC F.1-1A
Consider an ASTM A992 W 18×50 beam forspan and uniform dead and live loads as shown in Figure 1. The member is limited to a maximum nominal depth of 18 in. The live load deflection is limited to L/360. The beam is simply supported and continuously braced. Verify the available flexural strength of the beam selected based on LRFD and ASD.
W-Shape in Strong Axis Shear According to AISC G.1A
An ASTM A992 W 24×62 beam with end shears of 48.000 and 145.000 kips from dead and live load is shown in Figure 1. Verify the available shear strength of the beam selected based on LRFD and ASD.
Combined Compression and Bending Moment According to AISC H.1B
Using AISC Manual tables, determine the available compressive and flexural strengths and if the ASTM A992 W14x99 beam has sufficient available strength to support the axial forces and moments shown in Figure 1, obtained from a second-order analysis that includes P-𝛿 effects.
Helicoid
A membrane is stretched by means of isotropic prestress between two radii of two concentric cylinders not lying in a plane parallel to the vertical axis. Find the final minimal shape of the membrane - the so-called helicoid, and determine the surface area of the resulting membrane. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in analytical solution, also self-weight is neglected in this example.
Plastic Material Oscillations
This verification example is based on Verification Example 0122. A single-mass system without damping is subjected to an axial loading force. An ideal elastic-plastic material with characteristics is assumed. Determine the time course of the end-point deflection, velocity and acceleration.
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