Consider a fixed beam AB of span 1 subjected to a uniformly distributed load 'w' kN/m on half of its span as shown in figure. The fixed end moment at A and B are A B C D w kN/m A m -1/2- M, (kNm)=wl²; M, (kNm) = wl² 96 5 96 M(kNm)=wl²; M, (kNm)=wl² 12 12 11 5 M¸ (kNm) = 12 wl²; M, (kNm) = 12 5 11 M (kNm)= 192 w²; M, (kNm) = 192 wl B

Consider a fixed beam AB of span 1 subjected to a uniformly distributed load 'w' kN/m on half of its span as shown in figure. The fixed end moment at A and B are A B C D w kN/m A m -1/2- M, (kNm)=wl²; M, (kNm) = wl² 96 5 96 M(kNm)=wl²; M, (kNm)=wl² 12 12 11 5 M¸ (kNm) = 12 wl²; M, (kNm) = 12 5 11 M (kNm)= 192 w²; M, (kNm) = 192 wl B

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

Compute all reactiosn for the beam in FigureP9.15 assuming that the supports do not move; EI is constant. (b) Repeat computations given that support C moves upward a distance of 288/EI when the load is appleid
The beam with cross-section shown in Figure 1 is subjected to a uniformly distributed load and a moment. The centroidal axis of the section is c= 74.44 mm from the bottom. I. -2.18x10 mm. E = 2.1×10 MPa. a) At a cross-section 2 m to the right of support A; i) ii) iii) Calculate the Shear Force, V, and the Bending Moment, M. Determine the maximum bending stress. Sketch the bending stress distribution across the section, include critical tension & compression stress values. Determine shear stress developed at the flange-web interface and also the shear stress at the neutral axis of the cross-section. Sketch the shear stress distribution across the section, include the critical values. b) Using the double integration method, find the deflection curve for 0≤x≤5 m. 3 kN/m 5m 3 m- Figure 1 15 kN-m 100 All dimensions are in mm.
100 N/m, A simply supported beam ABCD is subjected to a linearly distributed load, with wo two concentrated loads, one at C and the other at D, and a point moment at B as shown in Figure 4.1. The angles of the point loads are: 0₁ = 40° and 0₂ = 30° and the dimensions are a = = 5 m, b = 3 m and c = 2 m. b) Use the method of sections to derive expressions for the internal resultant loadings, i.e., normal (N) and shear (V) forces as well as bending moment (M) at the cross-section of the beam as functions of x. The expressions must be valid for 0≤x≤a and a ≤x≤ b and b≤x≤c. Check that your equations provide values at the midpoint of AB that are consistent with your results in part a. Wo A X a B 1 500 N 의 200 N·m b Figure 4.1. - Simply supported beam 0₂ 2 300 N
ЗР L/6 1. From figure 1.1. Determine 10 the distance 'a' as a fraction of the beam's length 'L' for locating the roller support at C so that the internal moment at B is zero. * 2. A particle is subjected to vector forces A = (2lb)i + (-6lb)j + (10lb)k and B = (-6lb)i %3D + (-2lb)j + (2lb)k. What will be the resultant force? *
Draw the shear force and bending moment diagrams of the beam whose span and loading condition are given in the figure. Calculate the section rotation (OA) at point A and the vertical displacement (Yc) at point C using the moment are theorem in mm. (EI = 50000 kN.m2) P=3kN L1=4m L2=1.3m A EI L1 (m) B * 2EI L2 (m) C P (KN)
40 k Problem # 3 12 ft 12 ft Use the Virtual Work as the displacement method. E = 29000 ksi D 5 ft | AB = 400 in^4 C The king-post trussed beam supports a concentrated force of 40k at its center. Determine the force of strut CD. The struts each have a cross-sectional area of 2 in^2. Assume they are pin connected at their end points. Neglect the effect of axial force in the beam.
The simply supported beam consists of a W21×44 structural steel wide-flange shape [E = 29,000 ksi; != 843 in.*1. Assume that the support at D can provideresistance either up or down. For aloading of w = 6.8 kips/ft, determine: (a) the beam deflection va at point A. (b) the beam deflection ve at point C. AssumeLaB = 9 ft, Lgc =7 ft, Lco =7 ft, LDE=5 ft. B D E LAB LeD LDE Answers: (a) VA = in. (b) vc= in.
Using the virtual work method, detemine the vertical displacement of joint Cof the steel truss shown in Figure Q3. Assume E= 200 GPa and A = 500 mm for all members. 4 m 300 kN Im 120 kN 4m 4m Figure Q3
Compute the vertical displacement (downward) at Joint C of the given truss shown in Figure 2 using the method of virtual work. You can use Space Gass to compute the internal forces of the real and virtual systems without manual calculations. Assume the cross-sectional area and modulus of elasticity of each member are constant. F B H 3 kN + G 4 kN + D 3 kN + + 3 m
1. A beam ABCD is hinge supported at A, B, and C. AB = BC = CD = 7m. The support B and C sink 6mm and 8 mm respectively. The point D carries a point load of 1 kN. Take E = 2 x 10^5 MPa; I = 4 x 10^7 mm^4 and draw the bending moment diagram by slope deflection method. %3D %3D
Question 1) F=36 kN single load, M=48 kN.m moment and w=20 kN/m distributed load act on the beamn whose loading condition is given in the figure . The length L is also given as L=3 m. The cross-sectional properties of the beam are; body height y a =210 mm , body thickness x, = 14 mm , flange width xf = 173 mm , flange height yf =14 mm . Point P on the section is located just above the flange-body junction. It is desired to determine the stress state at point Pin the section taken from the B line of the beam. According to this; g w kN/m F kN M kN.m A E В 2L L. L Xf P Yg Xg Question 1-A) B at a point of cutting force (V B ) to find. ( Write your result in kN .) Question 1-B), B at a point of bending moment (M 8 ) you find. ( Write your result in kN.m.) Question 1-C) digits for the decimal part of your result and use the expression E for the decimat part. Write it as 5E-3 instead of 0.005 .) Find the moment of inertia of the beam section .( Do your operations by converting the lengths to…
PROBLEMThe beam shown below has internal hinges at points B and D. Assume EI is constant. Using your most convenient methodshow the following:a. Magnitude and directions of the support reactions (Ax,Ay, MA, Cy, Fy). b. The elastic curve.c. Vertical displacement at B. d. Rotation just to the left of B. e. Rotation just to the right of B.