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Homework format guide

Homework format guide - ∑ F x = 0 → H(x = 0 lbs ∑ F y...

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FORMAT FOR ALL HOMEWORK Problem 1.17 Page 18 FIGURE ______________________________________________________________________________ PROBLEM STATEMENT: Determine the resultant internal loadings (reactions) acting on the cross-section at point B (see Figure). ______________________________________________________________________________ SOLUTION SOLUTION DETAILS Draw a FBD of the beam to expose the reactions at arbitrary position along beam, designated x Invoke Static Equilibrium for FBD
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Unformatted text preview: ∑ F x = 0 → H(x) = 0 lbs ∑ F y = 0 → V(x) – ½ (w(x)) x = 0 V(x) = 2x 2 lbs ∑ M z-axis at x = 0 → M(x) + V(x) x - ½[ (w(x)) x ] 2x/3 = 0 M(x) = 2x 3 – 1/3 (4x 3 ) = 2x 3 /3 ft-lbs Reactions at B obtained by letting x = 12ft → M B = 1152 ftlbs; V B = 288lbs; H B = 0lbs SOLUTION COMPLETED • B 60 lb/ft 12ft • Equation for distributed load is given by w(x) =4x lb/ft 2 3ft M(x) V(x) • H(x) x w(x) =4x lb/ft 2 y +...
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