(a) The lightest W12 section using Load and Resistance Factor Design (LRFD) method.

Question

Consider the simply supported truss as defined in the figure and parameter table. Find the force in members CD, HD, and HG. Follow the convention the tension is positive and compression is negative. A 1910 P. B cc 000 BY NỌ SA 2021 Cathy Zupke L₂ parameter value L₁ 1.5 L2 1.5 L3 2.5 LA 2 1.5 1.5 30 50 60 60 L5 L6 P₁ P₂ P3 P₁ units H # G P₁ E F The force in member CD = The force in member HD = The force in member HG = m m EEEEEZZ m m m L3 KN KN ↑ KN KN KN 3

Answer 1

Question

Chapter 6, Problem 6.8.1P

To determine

(a)

The lightest W12 section using Load and Resistance Factor Design (LRFD) method.

To determine

(b)

The lightest W12 section using Allowable Strength Design (ASD) method.

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Consider the simply supported truss as defined in the figure and parameter table. Find the force in members CD, HD, and HG. Follow the convention the tension is positive and compression is negative. A 1910 P. B cc 000 BY NỌ SA 2021 Cathy Zupke L₂ parameter value L₁ 1.5 L2 1.5 L3 2.5 LA 2 1.5 1.5 30 50 60 60 L5 L6 P₁ P₂ P3 P₁ units H # G P₁ E F The force in member CD = The force in member HD = The force in member HG = m m EEEEEZZ m m m L3 KN KN ↑ KN KN KN 3

250 mm A D P = 25 kN B 30 60 C TOP VIEW 280 mm Member AD is fabricated by joining two bars (E=205GPA, G,A=82GPA) and is pinned to plate ABC using a 5 mm diameter pins as shown in the figure. The yield strength of the pins is T,=890MPA. Plate ABC is a right triangle and is fixed along its edge BC. A 25KN Force P is then applied at end D causing a lateral strain in member AD with magnitude equal to 7.5x104mm/mm. This also causes Point A to displace only along the horizontal resulting to a shear strain at point A equal to y,=+0.00165rad. Determine the following: 1. Poisson's ratio of material used in member AD, vD 2. The normal strain in member AD, CAD 3. The average stress experienced by pin A, TA 4. Factor of Safety of pin A with respect to yielding, FS,A 5. Displacement of point D, A,

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