The three beams below are loaded the same and have the same support conditions. However, onehas a moment release just to the left of C, the second has a shear release just to the right of C,and the third has an axial release just to the left of C. Which beam has the largest maximummoment?First, find support reactions, then plot axial force (N), shear (V) and moment (M) diagrams for allthree beams. Label all critical N, V, and M values and also the distance to points where N, V,and/or Mis zero.PL at CPLLL4 LA2B2144 DPL at BAxMomentAyreleaseCyDy(a)PL at CPALLL4 L2B234 DPL at BShearAyAxCyreleaseDv(b)PL at CA22PLL4 LB24PL at BAyAxAxial forcerelease(c)15Сх

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Answered: The three beams below are loaded the…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.5.20P: The three beams in the figure have the same loading. However, one has a moment release just to the...

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A compound beam (see figure) has an internal moment release just to the left of B and a shear release just to the right of C Reactions have been computed at A, C, and D and are shown in the figure. First, confirm the reaction expressions using statics; then plot shear (V) and moment (W) diagrams. Label all critical Fand M values and also the distance to points where either V and/or M are zero.
A beam ABCD with a vertical arm CE is supported as a simple beam at .1 and D (see figure). A cable passes over a small pulley that is attached to the arm at E. One end of the cable is attached to the beam at point B. The tensile force in the cable is 1800 lb. Draw the shear-Force and bending-moment diagrams for beam A BCD. Note: Disregard the widths of the beam and vertical arm and use centerline dimensions when making calculations. Repeat part (a) if a roller support is added at C and a shear release is inserted just left of C (see figure part b).
The three beams in the figure have the same loading. However, one has a moment release just to the left of C, the second has a shear release just to the right of C, and the third has an axial release just to the left of C. Which beam has the largest maximum moment? First, find support reactions; then plot axial force (N), shear ( V) and moment (M) diagrams for all three beams. Label all critical N, K, and M values and also the distance to points where N, K and loi M are zero.
A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the middle region of the beam (sec figure). Obtain a formula for the fixed-end moments MAand MBin terms of the load q, the length L, and the length h of the loaded part of the beam. Plot a graph of the fixed-end moment MAversus the length b of the loaded part of the beam. For convenience, plot the graph in the following nondimensional form: MAqL2/l2versusbL with the ratio b/L varying between its extreme values of 0 and 1. (c) For the special case in which ù = h = L/3, draw the shear-force and bending-moment diagrams for the beam, labeling all critical ordinates.
At a full d raw, an archer applies a pull of 130 N to the bowstring of the bow shown in the figure. Determine the bending moment at the midpoint of the bow.
A compound beam (see figure) has an shear release just to the left of C and a moment release just to the right of C. A plot of the moment diagram is provided below the beam for applied load P at B and triangular distributed loads v(x) on segments Z/C and CD. First, solve for reactions using statics; then plot axial force (A) and shear force (K) diagrams. Confirm that the moment diagram is that shown below. Label all critical N, V, and M values and also the distance to points where N, V, and/or M are zero.
Cantilever beam AB carries an upward uniform load of intensity q1from x = 0 to L/2 (see Fig. a) and a downward uniform load of intensity q from x = L/2 to L. Find q1in terms of q if the resulting moment at A is zero. Draw V and M diagrams for the case of both q and qtas applied loadings. Repeat part (a) for the case of an upward triangularly distributed load with peak intensity q0(see Fig. b). For part (b), find q0, instead of q1
A propped cantilever beam is loaded by two different load patterns (see figures a and b). Assume that El is constant and the total beam length is L. Find expressions for reactions at Â and B for each beam. Plot shear and moment diagrams. Assume that a = L/B.
Find expressions for shear force V and moment M at mid-span of beam AB in terms of peak load intensity q0and beam length variables a and L Let a = 5L/b.
A counterclockwise moment M0acts at the midpoint of a fixed-end beam ACB of length L (see figure). Beginning with the second-order differential equation of the deflection curve (the bendingmoment equation), determine all reactions of the beam and obtain the equation of the deflection curve for the left-hand half of the beam. Then construct the shear-force and bending-moment diagrams for the entire beam, labeling all critical ordinales. Also, draw the deflection curve for the entire beam.
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