The beam shown below is subjected to two 4 kN concentrated loads located 1.5 meters from each support. The bending moment diagram for the beam is plotted. Using the moment-area method, determine the deflection at point С. (A Assume E=200GPA, I=4×106 mm4) 4 kN 4 kN VD А В D00. 1.5 m 3 m 1.5 m 6 Bending Moment Diagram (kN.m) +

The beam shown below is subjected to two 4 kN concentrated loads located 1.5 meters from each support. The bending moment diagram for the beam is plotted. Using the moment-area method, determine the deflection at point С. (A Assume E=200GPA, I=4×106 mm4) 4 kN 4 kN VD А В D00. 1.5 m 3 m 1.5 m 6 Bending Moment Diagram (kN.m) +

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Question Two The beam ABC in Fig Q2 is supported on pin and roller supports at points A and C respectively. Determine the slope and deflection at point B of the beam shown by the 1. direct integration method 2. Moment-area method Take E = 70 GPa and I = 335x106 mm4. -2 m- B - 4 m Figure Q2 C 80 kN-m
6. Given the beam loaded as shown, determine the deflection at the midspan. Use Conjugate Beam Method. 270 kN 45 kN/m A C 3 m 3 m- - 3 m El = constant 200 GPa I = 1665x106mm4 E %3D
Q7 Use method of conjugate beam to determine the slope and deflection at the center of the beam given below. Take E = 200 GPa and I= 4000 cm*. 5 kN 8 kN A EI B 2EI C EI -3 m -- 4 m t2 m -
3. Determine the deflection at point C for the beam shown by the virtual work method. 3 kN/m A D C 5 m 10 m 5 m I 21 I E = constant = 250 GPa I = 600(106) mm4
5. For the beam loaded as shown, find the slope at the right support and the deflection at point A. Use E = 200 GPa and 1= 9 x 107 mm4. Use conjugate beam method a CS Scanned with CamScanner 20 kN/m -1.5 m b -4.5 m 10 kN/m ch 1.0 m
6. Given the beam loaded as shown, determine the deflection at the midspan. Use Conjugate Beam Method. A -3 m 270 KN B 3 m El = constant E = 200 GPa I= 1665x10mm4 45 kN/m 3 m
5: Find the deflection at b, c and d for the loaded beam shown in the figure below by using finite difference (EI constant) dx" 9 ΕΙ a 1 1 L/4 2q b L/4 A с L/4 q d L/4 e HTTTT
Use the unit load method (or Principle of Virtual Work) to determine the deflection dA in inches at the left end A of the following beam. The flexural stiffness of the beam El is 28,800 k.ft. 3 k/ft 3 k/ft C OTO 4 ft 12 ft 4 ft
VWM - PROBLEM 4. Using the VIRTUAL WORK METHOD, and the value of EI are E=200 GPa and I=18x10ʻ mmt. Determine the following unknowns for the prismatic cantilever beam shown below. A. The moment at the support in kN-m. B. The deflection at point B in meters. C. The deflection at point C in meters. D. The maximum deflection in meters. E. The rotation at the free-end in rad. 20 kN 30 kN/m B C D 5m 2m 2m
Find the location and the magnitude of the maximum deflection of the beam shown. Use the Conjugate Beam method. E = 29000 ksi, 1= 3033 in 60 k 60 k D E B Hinge -10 ft -10 ft- -10 t- -10 ft- L= 40 ft El = constant E = 29,000 ksi
6. Tabulate the value of deflection of the beam at an interval of 0.2m from the left support and using this values draw the Elastic curve of the beam. Let El = 6x10° Nm² a) 600N/m 200N/m 200N/m 2m 3m 10.8m,0. 8m, 6.6m х (т) Ely (N.m³) у (т) у (тт) (GRAPH OF THE ELASTIC CURVE) b) 120N/m 120N/m 2m 2m 2m 6m x (т) Ely (N.m³) у (т) у (тт) (GRAPH OF THE ELASTIC CURVE)
Using conjugate beam method, determine the slope at A and B and the deflection at C for the simply supported beam shown in the figure. El is contant 5280 N/m 2760 N/m 4.5 m - - 3.5 m -