Homework: Construct shear and moment diagrams using the equilibrium method. Indicate the magnitudes of Vmax and Mmax" 1. L 51 5
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- A structural system consists of three joined bars ofdifferent materials and geometries, as shown in thefigure. Bar ➀ is aluminum alloy, bar ➁ is cold rolledbrass, and bar ➂ is tempered alloy steel. Propertiesand dimensions of all three are shown in the figure.Initially, the entire system is free of stresses, butthen the right support is moved 3 mm to the rightwhereas the left support remains fixed in space.Determine the stress in each bar due to this 3 mmdisplacement.effect of temperature and rate of pulling on ductility value.A cantilever beam with a 'T' shaped cross-section is loaded with a distributed load as shown below. The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm. A y Parameter L a d 0 L B 777 Description Beam length T Width of the flange Height of the web Yield stress |←0 →| Value 250 80 75 250 y Units mm mm mm MPa You are tasked with ensuring the beam can withstand the applied loading. To do this you must: a) Calculate the centroid for the given cross-section. Your value of y should be measured from the bottom of the section. Determine an expression for Q (statical moment of area) for the given shape. The expression(s) for Q should be in terms of the variable, y, measured from the bottom of the section.
- The rectangular plate ABCD undergoes deformation as shown with the dashed lines. Find the average shear strain at A Yxy with respect to the x and y axes. The values for the parameters are given here: parameter LAB LAB B A At A Yay LAD 8₁ 8₂ 18₁ mm 460 280 2 5 Submit Question LAD rad C D Question Help: Message instructor cc 0❀0 BY NO SA 2021 Cathy Zupke 8₂ XProblem 1 A bar obtained by bonding together pieces of aluminum (Ea section shown below. Considering that the allowable stress (both in compression and tension) of aluminum and brass are 120 MPa and 180 MPa, respectively, determine the largest moment M that can be applied about the 70 GPa) and brass (Eb 105 GPa) has the cross horizontal axis. 8 mm 8 mm 32 mm- 8 mm 32 mm 8 mm Brass AluminumEffect of temperatures and rate of pulling on ductility value.
- A stat of stress is specified in Figure. By using Mohr's circle determine the normal and shearing stresses on (a) the principal planes, (b) the planes of maximum shearing stress. 20 MPa 32 MPa 10 MPa 10 MPa 32 MPa 20 MPa I need a clear answer by hand, not by keyboard and fast answer within 20 minutes. Thank you | dybalaThe figure (all dimension are in mm) below shows an I-section of the beam. The shear stress at point P (very close to the bottom of the flange) is 12 MPa. The stress at point Q In the web (very close to the flange) is: N'-. 100- P Q 201 100- T 20 81484 80 20 40 --N (a) Indeterminable due to incomplete data (6) 60 MPa (c) 18 MPa (d) 12 MPa 068Homework 8: A (20°C) a rigid beam in placed upon the rods shown in figure: 1) Determine the magnitude of uniformly distributed load w (kN/m) so that beam remains horizontal when temperature of steel becomes to (100°C). 2) Find the stress developed in each rod. Steel A, = 1000mm², as = 12 * 10-6 , E, = 200GPA, L = 500mm %3D %3D Aluminum Aal 1500mm2, aal = 23 * 10-6 , Eal = 70GPA, L = 300mm %3| Rigid beam w (kN /m) A C steel Aluminum 3m 3m
- The failure stress of a homogeneous steel bar having a diameter of 10 mm is 250 MPa. Using a factor of safety of 2.0, calculate the maximum load in N that the bar can support. A 12500*pi В) 6250*pi C) 3125*pi 1563*pi(40 How A Rismatic steel bar of a Square cro ss section (looxlo0)mm is loaoled by Compressive force P= 1300 K, the bar has length 2.5 m, Eg=200GPay V=0.3,determine the shortening 8, the increase in the dimensions of cross Section, the change in Volume DV of the bar? loomm loommDrive an expression for the total extension of the bar of circular cross-section as shown when it's Subjected to an axial tensile lead (P).