# inverted t-beam

## 819 Inverted T-section | Moment of Inertia

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## 721 Increasing the width of flange to lower the centroid of inverted T-beam

**Problem 721**

Refer again to Fig. P-714. To what value should the 6-in. width of

the flange be changed so that the centroid of the area is 2.5 in. above the base?

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## 714 Inverted T-section | Centroid of Composite Figure

**Problem 714**

The dimensions of the T-section of a cast-iron beam are shown in Fig. P-714. How far is the centroid of the area above the base?

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## 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.

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## 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.

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## 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.

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## Solution to Problem 554 | Unsymmetrical Beams

**Problem 554**

Determine the maximum tensile and compressive stresses developed in the overhanging beam shown in Fig. P-554. The cross-section is an inverted T with the given properties.

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## Solution to Problem 552 | Unsymmetrical Beams

**Problem 552**

A cantilever beam carries the force and couple shown in Fig. P-552. Determine the maximum tensile and compressive bending stresses developed in the beam.

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## Solution to Problem 548 | Unsymmetrical Beams

**Problem 548**

The inverted T section of a 4-m simply supported beam has the properties shown in Fig. P-548. The beam carries a uniformly distributed load of intensity w_{o} over its entire length. Determine *w _{o}* if

*f*≤ 40 MPa and

_{bt}*f*≤ 80 MPa.

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