Prob 4. The simply supported steel beam (E = 29,000 ksi), has a rectangular cross section as shown, and supports the triangular load as shown below. (El is constant). If/when you use integration you must solve for constants & simplify Derive the bending moment equation M(x), for the first half of the beam. Show your work Derive the slope equation, 0(x). Show your work Derive the deflection equation, A(x). Show your work Sketch the general shape of the deflection line. (d) Determine the maximum deflection Amaæ of the beam Hint: The maximum deflection occurs when 0(x) = 0, which happens at the point where M (x) Mmax %3D Вeam's X-section 10 k/ft 10 in 12 ft 12 ft 4 in

Prob 4. The simply supported steel beam (E = 29,000 ksi), has a rectangular cross section as shown, and supports the triangular load as shown below. (El is constant). If/when you use integration you must solve for constants & simplify Derive the bending moment equation M(x), for the first half of the beam. Show your work Derive the slope equation, 0(x). Show your work Derive the deflection equation, A(x). Show your work Sketch the general shape of the deflection line. (d) Determine the maximum deflection Amaæ of the beam Hint: The maximum deflection occurs when 0(x) = 0, which happens at the point where M (x) Mmax %3D Вeam's X-section 10 k/ft 10 in 12 ft 12 ft 4 in

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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P = 313 kN show your solution
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Problem 2: For the beam given below: (a) Calculate all support reactions. (b) Draw the shear diagram. Show all important values of shear. Show the sign convention within each region. (c) Draw the moment diagram. Show all important values of moment. Show the sign conventions within each region (concavity: smiley face, sad face, etc.) (d) Sketch the deflected shape. Show supports in your sketch. For your solution, let w = 2 kips/ft and L = 20 ft. A L 22 B L W C