In order to calibrate the digital readout of a hydraulic cylinder a cantilever beam with a width of 75mm, a height of 150mm and a weight of 850 N/m is fitted with strain gauges to determine the actual force exerted. The cylinder is placed at a distance of 5 m from the supporting structure. The steel used has a yield strength of 350 MPa and a modulus of elasticity of 200 GPa. Calculate the bending moment and shear force diagrams that can be expected if the cylinder exerts a maximum force of 10 000 N at the end of the beam. q = 850 N/m P = 10 000 N

In order to calibrate the digital readout of a hydraulic cylinder a cantilever beam with a width of 75mm, a height of 150mm and a weight of 850 N/m is fitted with strain gauges to determine the actual force exerted. The cylinder is placed at a distance of 5 m from the supporting structure. The steel used has a yield strength of 350 MPa and a modulus of elasticity of 200 GPa. Calculate the bending moment and shear force diagrams that can be expected if the cylinder exerts a maximum force of 10 000 N at the end of the beam. q = 850 N/m P = 10 000 N

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

What is the shear stress acting on the inside surface and outside surface of a hollow shaft subjected to a torque of 1000 Nm?(The inner and outer diameter of the shaft is 125 mm and 150 mm respectively.) Report the answer in the Mpa
A student wants to measure the strain at a particular point K on a loaded specimen, so she affixes a 45° strain rosette at point K and obtains the following results: €A = 390 μrad EB = 275 μrad Ec = 325 prad After packing up and going home to analyse her results, she realises that the strain rosette was misaligned by 0 degrees CW (where a negative corresponds to CCW) from the x-y axes-ie. Gauge C is not parallel with the x-axis and is instead parallel with a different x' axis that is rotated by 0 degrees-where: 0 = 16 deg Instead of replacing the rosette and retaking measurements, the student realises she can use what she learned in ENGG2400 to find the strains she's interested in. b 45° 45° a) Draw a diagram of the situation, showing both the x-y axes and the strain rosette. b) Calculate Exx, Eyy and Yxy. c) Calculate the maximum in-plane shear strain and the associated average normal strain. I X
Figure 4–5a shows a cantilever beam with an end load. Normally we model thisproblem by considering the left support as rigid. After testing the rigidity of thewall it was found that the translational stiffness of the wall was kt force per unitvertical deflection, and the rotational stiffness was kr moment per unit angular(radian) deflection (see Fig. 4–5b). Determine the deflection equation for the beamunder the load F.
Question 1: The piece of plastic is originally rectangular. Given LCD and LAD are 400 and 300 mm, respectively. If the plastic distorts as shown by the dashed lines, a) Determine the average normal strain that occurs along CD. b) Determine the average normal strain that occurs along AD. c) Determine the shear strain Yxy at corner C. 2 mm LCD 2 mm D LAD mm B 12 mm 3 mm mm
It can be assumed that long cylinders, e.g. those used in pipelines, are subject to a state of plane strain, where the longitudinal strain is neglected in comparison with other strain components. The 3-dimensional state of strain at material point of a long cylinder in a pipeline, described in X, y, z coordinates, where the pipeline is extended in the y-direction, is given by: E. xx E yx -200 0 -180 [e ]= E, E, E = *10-6 ху yy Ezy [Ex E E= -180 0 50 yz a. Calculate the volumetric strain and the deviatoric strain invariants b. Calculate the mean stress and the deviatoric stress tensor. c. Calculate the characteristic equation of strain. d. Calculate the characteristic equation of stress. The material is linear elastic (E=200GPA, v=0.3).
A tension test performed on a metal specimen to fracture produced the stress-strain relationship shown in Figure. Graphically determine the following (show units and all work):a. Modulus of elasticity within the linear portion.b. Yield stress at an offset strain of 0.002 in./in.c. Yield stress at an extension strain of 0.005 in/in.d. Secant modulus at a stress of 62 ksi.e. Tangent modulus at a stress of 65 ksi.
Given the torque-angle deformation curve below, estimate the shear modulus in GPa?. Where the length of the specimen is 273mm and the diameter is 19.3mm (Round your answer to nearest integer, e.g. 100, do not add units, use exact value of pi not 3.14) SC.O 45.0 35.0 25.0 20.0 5.0 0.20 040 050 0.60 0.70 0.80 0.90 Angle (") A S en eta ine f Your Answer: Answer Torque (N-m)
The nominal stress-strain diagram for a specimen having an original diameter of 10 mm and a gauge length of 50 mm is shown below. Using the given nominal stress-nominal strain diagram, answer this question. The inset shows a detailed view of the curve at low strains. 400 350 300 250 Stress (MPa) 200 150 100 50 0 0.00 Stress (MPa) 350 kN 300 250 200 150 100 50 0 0.000 0.002 0.004 0.006 0.008 0.010 0.012 Strain 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 Strain 0.18 What is the maximum force that could be applied to the specimen before it plastically deforms?
Consider a 1,000-mm long, 25-mm diameter sample subjected to a tension test. Automatic high-precision gages recorded that for an applied load of 150 kN, the sample experienced a longitudinal strain of 2×10−3mm/mm. Assuming that the material remained elastic while loaded, determine its modulus of elasticity. A. 175.0 GPa B. 63.7 GPa C. 152.8 GPa D. 72.9 GPa Which of the following occurs when the value of Poisson’s ratio is doubled and the modulus of elasticity is kept constant? a. The lateral deformations experienced by the material is halved b. The volume of the material will remain constant when subjected to external forces c. The elastic region of the shear stress-strain diagram would be less steep d. The material can withstand higher amounts of stress before permanent deformations occur
The piece of wood shown below was used in an experiment. During the test it sheared parallel to the wood grain along the dashed line. Determine the average shear stress on that failure plane for a maximum load of P= 1250 lb. The dimensions of the wooden specimen are t = 2.5 in. and L = 4 in.
In order to calibrate the digital readout of a hydraulic cylinder a cantilever beam with a width of 75mm, a height of 150mm and a weight of 850 N/m is fitted with strain gauges to determine the actual force exerted. The cylinder is placed at a distance of 5 m from the supporting structure. The steel used has a yield strength of 350 MPa and a modulus of elasticity of 200 GPa. Using the principle of super positioning calculate the deflection and end slope that can be expected if the cylinder exerts a maximum force of 10 000 N at the end of the beam. q=250 N/m P-50 000 N 12 – (2.109-10¹) mm¹
1. An axial force of 250 kN is applied to the assembly shown, made of cylindrical brass core surrounded by an aluminum shell. The axial force is applied through rigid end plates. a) Determine the normal stress in each of the metal components, given that Ebrass = 105 GPa and Ealum = 70 GPA. 100mm b) What is the axial deformation of the assembly? 200mm 200mm