Answered: USING THE SLOPE DEFLECTION METHOD, DRAW…

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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Calculate the vertical deflection of point B and the horizontal movement at D shown in the figure. Consider that all the elements of the truss are linearly elastic and have sectional areas of 1800mm2. Also consider an E of 200,000N/mm2. Add the calculation process of solving the problem step by step and complete the table accordingly. L F FB ∂FB / ∂PB FD ∂FD/∂PD AE - 2√2/3 PB -2/3 √2 EB EF AB BC CD BF FD FC
Prob 01: Use method of virtual work and determine A. The displacement of point C of the beam made from steel. B. Slope at A of the beam made from steel. E = 29000 ksi, I 240 in* 12k 10 k B - 5 ft+S t- + Sft+5 ft-
Using Area Method: a. Draw the shear and moment diagram b. Label the maximum values of shear and moment c. Locate points of inflection d. Sketch the deflected shape.
Determine the slope at B of the beam. Use the moment-area theorems. Take E * = 29(10^3) ksi, I = 500 in^4. A 0.00268 rad 0.00342 rad 0.00212 rad 0.00456 red 6 ft 15 k B 6 ft C
Using the slope-deflection method, solve the elastic curve, shear and moment diagrams. EI is constant.
80KN 40KN D 入千 B. 5m 5m 5m 5m 1.51 a. Determine the member-end-moments and the support reactions the three-moment equation method. b. Draw the shear force and bending moment diagrams. c. Draw the deflected shape of continuous beam shown below. P. CS Scanned with CamScanner 9.
Problem 2 Determine the rotation and vertical displacement at the end A of the beam below using the method of virtual work. E = 29(10³) ksi, I = 170 inª. A 2 k/ft -10 ft- B -10 ft 10 k -10 ft с
Find the slope and deflection at B and E of the beam and loadings shown using area-moment method with M/EI graph and tangential deviation graph. The section of the beam is tubular with outer diameter of 500mm and inner diameter of 200mm. E=20GPa. (point B is not an internal hinge).
Calculate the slope and deflection atB and E of the beam and loadings shown using area moment method. The section of the beam is tubular with outer diameter of 500mm and inner diameter of 200mm. Take E=20GPa.
Use moment area method
10. B 100kN 4m 3m AE= Constant A= 1500mm? E=200GPA a. Determine the force in each member uf the real and the virtual truss shown above. b. What is the nature of each internal force. c. Determine the vertical deflection of point C using the virtual work method. CS Scanned with CamScanner
1150 lb B 30 lb D 4 ft 6 ft R₁ =78 lb Rc= 102 lb Using the Moment Area Method and assuming the cantilever wall at C your moment diagram by parts computations, determine the following: El (deviation of point D relative to tangent C), El to/c = lb-ft (do not use commas) Eldeviation of point A relative to tangent C). El tA/C = lb-ft3 (do not use commas) El (deflection at the free end), El yo (write "upward" or "downward") Direction of deflection (upward or downward) = lb-ft (do not use commas)

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USING THE SLOPE DEFLECTION METHOD, DRAW THE SHEAR AND MOMENT DIAGRAM. 8KN/M 15KN 2T H 10KN 9 5м 2m 2m 2m 2m E=CONSTANT 2I C 5M