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# HW6_Soln - AE322 HW#6 Solution Q 9.14(a For the section in...

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AE322 – HW #6 Solution Q 9.14 (a) For the section in figure 1 determine the magnitude of the stress at the point y = -1.0 in and z = +3.0 in for the loads given below. Figure 1 Soln: = 8/5 2.67 2.67 and = - = -10.61 kip/

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(c) For the section in figure 2 determine the magnitude of the stress at the bottom of the web. Figure 2 Coordinates representing the bottom of the web can be taken a (y,z) = (0,-1.11) = 0.192 0.0389 0.0292 and = 0 = 290.55 kip/
Problem 10.3 (b) Calculate the three deflection functions for a uniform, homogeneous beam of length L that is cantilevered at the origin of x -coordinate axis and unsupported(free) at its other end, if the product of inertia is zero, and if the only loading is in the x,z plane, such that: The loading is as sown in figure 3 below Figure 3 Governing Differential Equation for symmetric cross-section, x-direction [EA u’(x)]’ = with BC as u(0) = 0 and EA u’(L) = 0 y-direction [ v’’(x)]’’ = with BC as v(0)= v’(0) = = 0 z-direction [ w’’(x)]’’ = with BC as w(0)= w’(0) = 0 , & = For the given loading, = = =0 Since there is no loading along x and y direction, integration of governing differentiation and application of boundary conditions yield trivial solution in respective direction as,

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z-direction g.e. yields w’’’’(x) = 0 Integrating four time to get w(x) as, Apply BC, =
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HW6_Soln - AE322 HW#6 Solution Q 9.14(a For the section in...

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