# Symmetrical Load

## Solution to Problem 558 | Unsymmetrical Beams

### Problem 558

In Prob. 557, find the values of x and w_{o} so that w_{o} is a maximum.

## Solution to Problem 557 | Unsymmetrical Beams

**Problem 557**

A cast-iron beam 10 m long and supported as shown in Fig. P-557 carries a uniformly distributed load of intensity w_{o} (including its own weight). The allowable stresses are f_{bt} ≤ 20 MPa and f_{bc} ≤ 80 MPa. Determine the maximum safe value of w_{o} if x = 1.0 m.

## Solution to Problem 556 | Unsymmetrical Beams

**Problem 556**

A T beam supports the three concentrated loads shown in Fig. P-556. Prove that the NA is 3.5 in. above the bottom and that I_{NA} = 97.0 in^{4}. Then use these values to determine the maximum value of P so that f_{bt} ≤ 4 ksi and f_{bc} ≤ 10 ksi.

## Solution to Problem 444 | Relationship Between Load, Shear, and Moment

## Solution to Problem 443 | Relationship Between Load, Shear, and Moment

**Problem 443**

Beam carrying the triangular loads shown in Fig. P-443.

## Solution to Problem 417 | Shear and Moment Diagrams

**Problem 417**

Beam carrying the triangular loading shown in Fig. P-417.

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