# horizontal shear stress

## Solution to Problem 572 | Horizontal Shearing Stress

**Problem 572**

The T section shown in Fig. P-572 is the cross-section of a beam formed by joining two rectangular pieces of wood together. The beam is subjected to a maximum shearing force of 60 kN. Show that the NA is 34 mm from the top and the I_{NA} = 10.57 × 10^{6} mm^{4}. Using these values, determine the shearing stress (a) at the neutral axis and (b) at the junction between the two pieces of wood.

## Solution to Problem 571 | Horizontal Shearing Stress

**Problem 571**

For a beam with the same cross section as that in Prob. 570, plot the shearing stress distribution across the section at a section where the shearing force is V = 1800 lb.

## Solution to Problem 570 | Horizontal Shearing Stress

**Problem 570**

A uniformly distributed load of 200 lb/ft is carried on a simply supported beam span. If the cross-section is as shown in Fig. P-570, determine the maximum length of the beam if the shearing stress is limited to 80 psi. Assume the load acts over the entire length of the beam.

## Solution to Problem 569 | Horizontal Shearing Stress

**Problem 569**

Show that the maximum shearing stress in a beam having a thin-walled tubular section of net area A is τ = 2V / A.

## Solution to Problem 568 | Horizontal Shearing Stress

**Problem 568**

Show that the shearing stress developed at the neutral axis of a beam with circular cross section is τ = (4/3)(V / π r^{2}). Assume that the shearing stress is uniformly distributed across the neutral axis.

## Solution to Problem 567 | Horizontal Shearing Stress

**Problem 567**

A timber beam 80 mm wide by 160 mm high is subjected to a vertical shear V = 40 kN. Determine the shearing stress developed at layers 20 mm apart from the top to bottom of the section.

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