shear equation

Solution to Problem 422 | Shear and Moment Equations

Problem 422
Write the shear and moment equations for the semicircular arch as shown in Fig. P-422 if (a) the load P is vertical as shown, and (b) the load is applied horizontally to the left at the top of the arch.

Simply supported circular arc member


Solution to Problem 421 | Shear and Moment Equations

Problem 421
Write the shear and moment equations as functions of the angle θ for the built-in arch shown in Fig. P-421.

Circular arc beam with fixed end support and free at one end


Shear and Moment Diagrams

Shear and Moment Diagrams
Consider a simple beam shown of length L that carries a uniform load of w (N/m) throughout its length and is held in equilibrium by reactions R1 and R2. Assume that the beam is cut at point C a distance of x from he left support and the portion of the beam to the right of C be removed. The portion removed must then be replaced by vertical shearing force V together with a couple M to hold the left portion of the bar in equilibrium under the action of R1 and wx.

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