The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P = 400 kN and P, = 360 kN acting at points A and D, respectively (see figure). Bars BE and CF are made of steel (E = 200 GPa) and have cross-sectional areas ABE = 11,100 mm and AcF = 9,280 mm. The distances between various points on the bars are shown in the figure. Determine the vertical displacements 8a and dp of points A and D, respectively. %3D %3D 15m 1.5 m 2.1 m- BO P = 400 kN 2.4 m P2 = 360 kN 0.6 m

The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P = 400 kN and P, = 360 kN acting at points A and D, respectively (see figure). Bars BE and CF are made of steel (E = 200 GPa) and have cross-sectional areas ABE = 11,100 mm and AcF = 9,280 mm. The distances between various points on the bars are shown in the figure. Determine the vertical displacements 8a and dp of points A and D, respectively. %3D %3D 15m 1.5 m 2.1 m- BO P = 400 kN 2.4 m P2 = 360 kN 0.6 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

2. For the beam loaded as shown in the figure, determine displacement at B using moment-area theorems. EI is constant
An I shape cross-section is subjected to the moment M = 8.4 kN.m. Determine the stress at point A. Set θ = 28°. Present your answer in MPa. The moments of inertia are Iz = 31.846 x 106 mm4 and Iy = 3.346 x 106 mm4.
6. A tapered bar of length 600 mm is having cross sectional areas of 650 mm? and 350 mm? at two ends. The bar is fixed at the end having larger area and subjected to axial forces 40 kN which is acting axially outwards at the smaller end and 20 kN, acting at a point 200 mm from smaller end and directing axially towards the larger side. The Modulus of Elasticity of the bar is 700 x 103 N/mm2. Model the bar with three finite elements and Determine i The nodal displacements. ii The stresses in each element. iii The reaction force at the support.
A hollow steel beam (cross-section shown in figure 5) is subjected to a vertical shear force of 30 kN.Moment of inertia of the cross is IN.A = 383.33x106 in4.a) Solve to determine the maximum shear stress and its location.b) Solve to determine the shearing stress at fiber 75 mm from the top of beam’s cross-section.
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.
2. A two-member truss structure is loaded as shown. Determine the horizontal and vertical components of the displacement of point A. CY dimensions in meters TAB 3 A 80KN 4:5 EAB 70 GPa ; EAC=70 GPa AAB=150mm²; AAC = 100mm²
The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P₁ = 400 kN and P₂ = 360 kN acting at points A and D, respectively (see figure). Bars BE and CF are made of steel (E = 200 GPa) and have cross-sectional areas ABE = 11,000 mm², Acf-9280 mm² and bars are shown in the figure. 1.5 m P₁ = 400 kN E A B 1.5 m A A 2.1 m A D P, 360 kN 2.4 m F 0.6 m Determine the vertical displacements 8 and 8p of points A and D, respectively.
I need the answer as soon as possible
2. The 2- dimensional truss shown in FIGURE Q2 is made of material that has a modules of elasticity E = 150×10° N/m?. The cross sectional area of each member is 0.01 m². Forces P1 and P2 are acting as shown, Wall (e= 40°, P;= 8 kN) 2 (a) (b) 40 (c) 309 P1 P= 2kN 4m FIGURE Q2 a. You are required to design TWO (2) different system's fixing type of nodes 2, 3, and 4 to the wall. Then recommend the best option that provides the lowest displacement at node 1 by perfoming complete calculations to justify your recommendation. b. After the client approved your recommendation in (a), it was found that the displacements occurred at node 1 is still high. As a result, you are required to modify the truss design in order to reduce the displacement at node 1 by minimum 15% on a condition that modules of elasticity, and the force remain unchanged. Justify your recommendation.
9 Consider the plane truss with load Pas shown in the figure. Let the horizontal and vertical reactions at the joint B be Hg and V, respectively and Vc be vertical reaction at the joint C. 2 exhoM S SLO 60° - II B A 60° D L 60° F 60° KLA G P с Which one of the following sets gives the correct values of VB, HB and V? (a) VB = 0; HB = 0; Vc = P (b) VB P/2; HB = 0; Vc = P/2 (c) VB = P/2; HB = P (sin60°); Vc = P/2 (d) VB = P; HB = P (cos(60°); Vc = 0 [2016
Calculate for the shear force in kN at member ED of the frame shown in figure 1 using Portal Method. Enter absolute value and use 2 decimal places in your solution.
The cantilever beam shown in Figure A is subjected to load magnitudes of Pz = 3.0 kips and Py = 8.1 kips. The flanged cross section shown in Figure B has dimensions of bf = 7.1 in., tf = 0.55 in., d = 11.5 in., and t = 0.35 in. Using L = 70 in., determine: (a) the bending stress at point A. (b) the bending stress at point B. (c) the angle for the orientation of the neutral axis relative to the +z axis. Note that positive angles rotate clockwise from the+z axis. FIGURE A P₂ L B tw bf D FIGURE B