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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.
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.
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.
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.
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.
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.
A single-mass system with dashpot is subjected to a constant loading force. Determine the spring force, the damping force and the inertial force at given test time. In this verification example, the Kelvin--Voigt dashpot, namely, a spring and a damper element in serial connection, is decomposed into its purely viscous and purely elastic parts, in order to better evaluate the reaction forces.
A single mass system with dashpot is subjected to the constant loading force. Determine the deflection and the velocity of the dashpot endpoint in given test time.
The mathematical pendulum consists of a zero‑weight rope and a mass point at its end. The pendulum is initially deflected. Determine the angle of the rope at given test time.
A double-mass oscillator consists of two linear springs and masses, which are concentrated at the nodes. The self-weight of the springs is neglected. Determine the natural frequencies of the system.