180kN 60kN A B 4m 2m 2m Im 2m 4EI 4EI D ΕΙ 3M शि EI Figure 1

Q2. Calculate the deflection at point D for the following static beam structure using the Unit Load and Moment Area method P = a kN D q = a +b B EI b/4 m b/2 m b Where: E3D 210 х 106 I= 8360 x 10-8 a = 3 b = 2a 3 b b A = (2/3) A = (1/3)

Determine:a) the horizontal displacement of joint A of the steel truss. b) Due to fabrication error, members AD and BE are 2cm too long. Determine the horizontal displacement of joint A under the same loading condition. Each member has a cross-sectional area of 400mm2 and E=200GPa.

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Q2 / The cross sectional area of each member of the truss as shown in the figure below 1.75 in and E = 29(10')ksi , determine the vertical displacement at joint D due to radiant heating of member FD is subjected to an increase in temperature from 20° F C to 110° F, take a = 0.75(10³)/F , and member CD would be decreased 0.2 in use Method of Virtual Work. (P in k) P=9 VP F E 4 m А D B C 3 m 3 m 3 m +

For the beam and loading shown, EI is constant. Note that the beam is statically indeterminate to the first degree. (a) Determine the equations of the elastic curve for the beam using the x coordinate. (b) Determine the slope at A. A L- wo B

Derive the condition (inequality) in hλ that indicates the Region of Absolute Stability for the Trapezoidal Method.  You can try to draw this region, but I am only asking for the condition.

use virtual work method to determine horizontal and vertical components of the deflection at joint B of the truss P D A E B -2 at L EA= = constant P A F |--

Idealize the following braced frame as a truss. Compute the horizontal deflection at Node A. ● ● ● E = 29000 ksi Column: A = 10.0 in.² Diagonal brace: A = 1.09 in.² Beams: A = 10.0 in.2 14 20k 1OK 77777 16' A

A beam is subjected to equal bending moments of M₂ = 3300 N-m. The cross-sectional dimensions are b = 190 mm, c = 26 mm, d = 75 mm, and t = 5 mm. Determine: (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ N y| M₂ (typ) Z- b H K d