Problem #3 Please see below a beam. The beam is made up of three sections: Young's...
EMT 101- Engineering Programming Homework 3 Deflection of an I-Beam(100 %) You are to develop a program that calculates and plots the vertical deflection of a beam subjected to a force acting on it as given in Figure 1. The I-Beam has length, L 2m with its left end fixed at the wall (no deflection at wall) The right end of the beam is applied with a vertical load force P with a vertical deflection function (3L -a) EI wherer...
ans all parts please 15) (10 Points) Consider a horizontal beam of length L. with uniform cross-section and made out of uniform material. It is resting on the x-axis, with one end at the origin. It is acted upon by a vertical force it's own weight in this simple version). The deflection of the beam at any point x,for 0 <=<L.is given by Ely) = w, where E, I, ware constants. E is the Young's modulus of elasticity of the...
8. The cantilever beam in Figure Q8 subjects to concentrated loading. The cross section geometry gives the second moment of area / 100 x 10 m. The longitudinal geometry of the beam: a 2 m, b 1 m. The material of the beam: Young's modulus E 200 GPa. The loading: concentrated force P 10 KN. (a) Determine the reactions to the beam at the fixed end. (b) Determine the rotation angle at point x-a (c) (Determine the deflection at the...
Q1 An elastic cantilever beam of varying cross section, as shown in Figure Q1(a), is subjected to an increase in temperature of 60°C in an unnatural environment. The equation governing the displacement of the elastic column and the finite element stiffness matrix are respectively given as -O and ΑΕ) - where A is the cross sectional area of the beam, E is the Young's modulus of the beam material, u is the displacement and / is the finite element length....
Problem 4. At one end of an elastic beam (length 2L, annular cross section with outer radius R, inner radius r, and planar moment of inertia z(R4- that is supported by a truss structure (cross-sectional area A), a vertical load P is applied, which results in a vertical deflection at that point that can be determined by 5PL 2PL3 EA 3EIz Two experiments with the same data but different inner radii r were conducted, and the deflections w were measured....
Please answer in numerical order. 1. Use ρ-p0.004 and choose (you decide) the number (3 to 5) and size of steel bars from the attached table. Then proceed to determine (a) the size of the cross-sectional area, (b) the moment capacity of the RC section that you design, and (c) show where is the neutral axis on the diagram (or sketch a new one). 2.5" Given: fe 3,000 psi, fy -60,000 psi Concrete cracking strain 0.003 Initial yielding strain of...
Guys please help Name Problem 1 (25 points) A rigid beam is supported by three posts A. B and C, and subjected to load P (P-130 KN). Post A and C have a diameter 60 m Post B has a diameter 30 and are made of aluminum (Young's modulus Eal-70 GPa). mm and is made of brass (Young's modulus E-100 GPa). (1) Draw free body diagram for the rigid beam and write down the equilibrium equation (1o points) (2) Is...
QUESTION 34 The simply supported beam shown in the figure below is subjected to a 3 kN concentrated force. The beam has modulus of elasticity of E-70 GPa and area moment of inertia equals to l-126x10-6 m4 Question 34- Question 38] 3 kN 5 According to successive integration method Ely(x) = x3 (x-2)3 6 12 4 () x2 8 (x+ 1)2 4 QUESTION 36 C2 = 0 QUESTION 36 C2 - 0 2 3 QUESTION 37 C1- 1.33 1.5 2.3...
I need help with this problem. A cantilever beam is subjected to a linearly distributed load, with W, = 10 kN/m and to an inclined point load F equal to 20 kN, as shown in the figure. The length of the beam is L=10 m. Make a cut at distance x from the free end of the cantilever, as shown in the figure, and use the method of sections to derive expressions for the internal resultant loadings at the cross-section...
Consider the beam ABC of length L[m] in Figure 1 below, with simple supports at both ends. The beam supports a concentrated load P[N] at point B. You may assume the beam to be weightless in your analysis. P A B L/3 2L/3 Figure 1: Schematic of beam ABC. Part (a) [4 marks] Determine the vertical reaction forces at points A and C in terms of P. Part (b) [8 marks] Determine expressions (in terms of Pand L) for the...