Answer the following problems using Moment Area Method. Problem #250 kN15 kN/m90 kNEI = constantDE=70 GPaACI=95x10º mm*6 m-9 m-9 mRequired: 8A Sc 0B

Solution: Given data: E=70 GPaI=95×106 mm4

Answered: 15 kN/m 90 kN 50 kN D C 9 m -9 m 6 m

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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A. ) Determine Shear force and Bending Moment Diagrams with line loading, w = 5 k/ft (E= 30,000 ksi, I = 301 in4and A=7.68 in2). Assume the self weight is 26 plf.B.) Determine the rotation at support “A” and the deflection at 4 ft from support “A” by using Virtual Work Method and verify the results from the equations of the front pages of the text book.
1. Find the deflection in the X direction of point C and the B direction of point C using the method of virtual work. The area of the top ropes is 4 in? and the area of the bottom ropes is 2.5 in?. The BD bar has an area of 3 in?. 40 k 40 k 20 ft 20 ft - 10 ft 10 ft-
Applying the (AMM) Area Moment Method Approach. Consider 150 mm x 200 mm section and E = 80 GPa. Round off to two decimal places a. Vertical Reaction at C in kN.b. Slope of the elastic curve at support C in degrees.c. Deflection at point B in mm.d. Deflection at point D in mm. Show organized solutions
Please solve deflection and slope at point C using the method of superposition in the given image. Note:hand written solution not allowed
5. Use the moment area method to determine the slope and displacement at C. Use a steel beam W 8 x 10 with E = 29,000 ksi, and I= 30.8 in. 150 k B. 10 ft 10 ft 10 ft
Write shear and moment equations for the entire beam. Draw the shear and moment diagram. Draw the Qualitative Sketch of Deflected Shape. Using Double Intergration find the slope and deflection at point C. Using moment area method find the slope and deflection at point B.

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