# couple

## Solution to Problem 624 | Moment Diagram by Parts

**Problem 624**

For the beam loaded as shown in Fig. P-624, compute the moment of area of the M diagrams between the reactions about both the left and the right reaction.

## Moment Diagram by Parts

The moment-area method of finding the deflection of a beam will demand the accurate computation of the area of a moment diagram, as well as the moment of such area about any axis. To pave its way, this section will deal on how to draw moment diagram by parts and to calculate the moment of such diagrams about a specified axis.

## Solution to Problem 619 | Double Integration Method

**Problem 619**

Determine the value of EIy midway between the supports for the beam loaded as shown in Fig. P-619.

## Solution to Problem 618 | Double Integration Method

**Problem 618**

A simply supported beam carries a couple M applied as shown in Fig. P-618. Determine the equation of the elastic curve and the deflection at the point of application of the couple. Then letting a = L and a = 0, compare your solution of the elastic curve with cases 11 and 12 in the Summary of Beam Loadings.

## Solution to Problem 617 | Double Integration Method

**Problem 617**

Replace the load P in Prob. 616 by a clockwise couple M applied at the right end and determine the slope and deflection at the right end.

## Solution to Problem 582 | Design for Flexure and Shear

**Problem 582**

Find the cross-sectional dimensions of the smallest square beam that can be loaded as shown in Fig. P-582 if f_{v} ≤ 1.0 MPa and f_{b} ≤ 8 MPa.

## Solution to Problem 506 | Flexure Formula

## Solution to Problem 332 | Flanged bolt couplings

**Problem 332**

In a rivet group subjected to a twisting couple T, show that the torsion formula τ = Tρ/J can be used to find the shearing stress τ at the center of any rivet. Let J = ΣAρ^{2}, where A is the area of a rivet at the radial distance ρ from the centroid of the rivet group.