# Solve the preceding problem for a cantilever beam with data as b = 4 in., h = 9 in., L = 10 ft, P = 325 lb, and x = 45°.

### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347

Chapter
Section

### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347
Chapter 6, Problem 6.4.7P
Textbook Problem
1 views

## Solve the preceding problem for a cantilever beam with data as b = 4 in., h = 9 in., L = 10 ft, P = 325 lb, and x = 45°.

To determine

Orientation of neutral axis and maximum tensile stress.

### Explanation of Solution

Given Information:

The following figure is given,

Also, b=4 in., h=9 in., L=10 ft, α=450 and P=325 lb.

Neutral axis lies on the zero normal stress line.

The normal stress is given by,

σx=MyzIyMzyIz

Equate it to zero to find the line.

Calculation:

Consider the following figure,

You have following equation for zero normal stress,

σx=0MyzIyMzyIz=0yz=MyIzIyMz                                ....(1)

If load is at x distance from the origin along the beam length, then moments due to load and moments of area are as,

My=Pxcosα ;      Mz=Pxsinα ;   Iy=hb3/12 ;  Iz=h3b/12 ;

Substitute these expressions in equation (1), to get,

tanβ=

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