250 mmADP = 25 kNB3060 CTOP VIEW280 mmMember AD is fabricated by joining two bars (E0=205GP,, Ga=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 7.5x10-mm/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, vAD2. The normal strain in member AD, caD3. The average stress experienced by pin A, T,4. Factor of Safety of pin A with respect to yielding, FS,A5. Displacement of point D, A,

E=2G(1+μ) GIVEN E=205GPa G=82GPa by formula 205=2X82 (1+μ) μ=1.25-1=.25

E 250 mm 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 7.5×10-4 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, vAD 2. The normal strain in member AD, cAD 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,

E 250 mm 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 7.5×10-4 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, vAD 2. The normal strain in member AD, cAD 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,

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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