# rectangular beam

## 18 - 20 Rectangular beam in maxima and minima problems

## 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.

## Solution to Problem 527 | Flexure Formula

**Problem 527**

In Prob. 526, if the load on the overhang is 600 lb/ft and the overhang is x ft long, find the maximum values of P and x that can be used simultaneously.

## Solution to Problem 526 | Flexure Formula

**Problem 526**

A wood beam 6 in wide by 12 in deep is loaded as shown in Fig. P-526. If the maximum flexural stress is 1200 psi, find the maximum values of w_{o} and P which can be applied simultaneously?

## Solution to Problem 522 | Flexure Formula

**Problem 522**

A box beam is composed of four planks, each 2 inches by 8 inches, securely spiked together to form the section shown in Fig. P-522. Show that I_{NA} = 981.3 in^{4}. If w_{o} = 300 lb/ft, find P to cause a maximum flexural stress of 1400 psi.

## Solution to Problem 517 | Flexure Formula

**Problem 517**

A rectangular steel bar, 15 mm wide by 30 mm high and 6 m long, is simply supported at its ends. If the density of steel is 7850 kg/m^{3}, determine the maximum bending stress caused by the weight of the bar.

## Solution to Problem 511 | Flexure Formula

**Problem 511**

A simply supported rectangular beam, 2 in wide by 4 in deep, carries a uniformly distributed load of 80 lb/ft over its entire length. What is the maximum length of the beam if the flexural stress is limited to 3000 psi?