Answered: Plot the Shear and Bending moment…

Plot the Shear and Bending moment diagrams for the following. Use Singularity Functions to Solve the problem y 400 lbf Hinge |A BAC R₂ R₁ 4 in 4 in 2 in 40 lbf/in 10 in D R3 ·X

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.2P: 5.2 Evaluate the Prandtl number from the following data: , .

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Question

Plot the Shear and
Bending moment
diagrams for the
following. Use
Singularity Functions to
Solve the problem
y
400 lbf
Hinge
| A B₁ AC
R₂
R₁
4 in 4 in 2 in
40 lbf/in
10 in
D
R3
X

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Step 1: To draw :The shear force and bending moment diagram

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The purpose of this problem is to show the relationship between material constants typically used in engineering practice. This is useful because you may often have access to measurements of or tabulated values of some constants (e.g., Young's modulus and Poisson's ratio) but need another constant (e.g., shear modulus) for a calculation. Use the expression Cijkl = µ(dildjk + dikdjl) + Ad¿jdkl to derive the following: (a) Young's modulus, E = µ(3X+2µ)/(X+μ), from the definition 11 = Ee11 in a unconfined (022 = 0,033 = 0) uniaxial tension test. (b) Poisson's ratio, v = \/(2(X + μ)), from the definition v = €22/11 in the same test as in (a). (c) Shear modulus, μ = G = 012/(2€12) = E/(2(1 + v)). Use the results to show that C can also be written Cijkl Ev/((1+v)(1 − 2v))dij§kl. = E/(2(1 + v))(duðjk + dikdjl) +