Question 1(10 Marks) Design a strain gage-transducer to measure the deflection of the cantilever beam (Fig.1) if the fo...
1. The cantilever beam shown in the following figure is subjected to a load P or a deflection o at its free end. Two gages A and B are mounted at locations A and B on the top and bottom faces of the beam. Gage A is used to measure strain in the y direction (Ey), and gage B is used to measure strain in the x direction (Ex). Assume that: E=30(10) psi, Poisson's ratio v=0.3 a) Determine the theoretical...
As shown below (Fig.1), A strain gage with gage factor of 2.02 is mounted on the bottom of a beam to measure the strain on the surface of the beam. The beam's Young's Modulus is 193 GPa. A wheatstone bridge circuit was constructed as sketched in Fig. 2. Al resistors including the gage itself is 1202. Supply voltage is 5.0 V DC. The bridge is initially balanced when there is no load (a). when a downward load is added, will...
DE = 29 Question 4: Indeterminate Beam Design and Deflection A 2014-T6 aluminium cantilever beam is rigidly fixed to a wall and supported at the free end with a roller support, shown below. The beam is loaded with a distributed load, W, of 10kN/m and a point load, P of 55kN. Both the distributed load and the point load act in the direction shown in the image below. Note, the parameter DE is related to your student number as described...
P2: (40points) As shown below (Fig.1), A strain gage with gage factor of 2.02 is mounted on the bottom of a beam to measure the strain on the surface of the beam. The beam's Young's Modulus is 193 GPa. A wheatstone bridge circuit was constructed as sketched in Fig. 2. All resistors including the gage itself is 12002. Supply voltage is 5.0 V DC. The bridge is initially balanced when there is no load Strain gage Fig.1 Ri R2 DC...
3. A cantilever beam of length L is embedded at its right end, and a horizontal compressive force of P pounds is applied at the free left end of the beam. When the origin is taken as its free end, the deflection of the beam can be shown to satisfy the differential equation Ely" = -Py – w(x)} Find the deflection of the cantilever beam if w(x) = Wox, 0 < x < L, and y(0) = 0, y'(L) =...
SOLVE USING MATLAB PLEASE THANKS! The governing differential equation for the deflection of a cantilever beam subjected to a point load at its free end (Fig. 1) is given by: 2 dx2 where E is elastic modulus, Izz is beam moment of inertia, y 1s beam deflection, P is the point load, and x is the distance along the beam measured from the free end. The boundary conditions are the deflection y(L) is zero and the slope (dy/dx) at x-L...
(a) A cantilever beam shown in Figure 6 is subjected to a concentrated load P. Deflection of the beam at each point can be defined by the following equations: 6EI Pa 6EI F3x-a) for axx<l The following MATLAB code calculates and plots the deflection diagram for a beam with 1-4 m, d1 = 3 m, b = 1 m,E>210 x 10, Pa, 1 = 285 x 10-6 m4 and P = 20 kN. Find at least FOUR errors in the...
QUESTION 1:(15 points) Determine the natural frequency of the system corsisting of a cantilever beam and a spring in Fig.1. Assuming the beam and the spring to be massless, the system has the single DOF defined as the vertical deflection under a weight W 1.2kN .The beam has a length L=4m and the flexural rigidity EI = 2400 kM㎡. The spring has the stiffness 60 kN/m . EI t L Fig.1
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...
A load of 1 kg is applied to the tip of a cantilever beam with a width b 2.5 cm, a thickness h-1 mm, length L = 20 cm, moduļus E = 74 GPa, and density 2.7 gcm. What strain is experienced on the bottom surface of the strain gauge 5 cm from the fixed end? A load of 1 kg is applied to the tip of a cantilever beam with a width b 2.5 cm, a thickness h-1 mm,...