250 mmADP = 25 kNB3060 CTOP VIEW280 mmMember AD is fabricated by joining two bars (E=205GPA, G,A=82GPA) and is pinned to plateABC using a 5 mm diameter pins as shown in the figure. The yield strength of the pins isT,=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 magnitudeequal to 7.5x104mm/mm. This also causes Point A to displace only along the horizontalresulting 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, vD2. The normal strain in member AD, CAD3. The average stress experienced by pin A, TA4. Factor of Safety of pin A with respect to yielding, FS,A5. Displacement of point D, A,

E=2G(1+μ)μ=E2G-1 GIVEN E=205GPa G=82GPa NOW USING ABOVE FORMULA μ=2052x82-1 μ=.25

< 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=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 7.5x10*mm/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, €AD 3. The average stress experienced by pin A, T, 4. Factor of Safety of pin A with respect to yielding, FS,A 5. Displacement of point D, A,

< 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=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 7.5x10*mm/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, €AD 3. The average stress experienced by pin A, T, 4. Factor of Safety of pin A with respect to yielding, FS,A 5. Displacement of point D, A,

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter5: Beams

Section: Chapter Questions

Problem 5.2.1P

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