# Mechanic of Materials (a short lab)

*label*Science

*timer*Asked: Jun 24th, 2018

*account_balance_wallet*$10

**Question description**

r*emember before u handle this work, this work is so important to me, so i will revise it many times before i turn it in and i will rate u depend on your work quality such as providing correct and full answers and meet all requirements in the attached instructions. Please avoid the Lack of depth in your response.*

__see the data then complete and answer the attached WORD document fully.__

__don't forget to graph the data report via Excel ,__

__Don't forget to provide me with:__

__1: the excel file including graphs __

__2: calculations via Excel for __

## Tutor Answer

Attached.

Mechanics of Materials Laboratory

Dr. M. E. Barkey

Department of Aerospace Engineering and Mechanics

The University of Alabama

Stress State from Combined Loading

M. E. Barkey

1

04/06/18

A. Introduction and Objective

The objectives of this experiment are to compute a stress state for combined loading and

the principal stresses that result from this stress state; measure strains experimentally with

a strain gage rosette; calculate stresses from the measured strains and compute the

principal stresses from the experimental data.

B. Theory

1.0 Stress State from Combined Loading

We have studied states of stress from varies types of loads as they are applied

independently on a structure. The formulas for the stresses are summarized below:

o=F

o=

(axial normal stress)

(1)

(longitudinal bending stress)

(2)

(pressure vessel stresses)

(3)

Æ

–My

I

oh =

p r,

oa =

tw

pr

2tw

v =

VQ

It

(transverse shearing stress)

(4)

v =

Tq

Ip

(torsional shearing stress).

(5)

For a state of combined loading, the stress states from these individual loads can be

superimposed to determine the combined loading stress state. The principle of

superposition can be applied as long as the system that you are analyzing remains

linear—for our purposes in this class, that means that the material cannot have

yielded—i.e. when load is applied and removed, the strains return to nearly the same

initial value.

M. E. Barkey

2

04/06/18

The following steps should be taken to determine the stress state at the point of

interest on your structure:

1) Make a free-body-diagram to determine the reactions (loads and moments) that

act at the point of interest in the structure.

2) Determine how each reaction contributes to the stress state at the point of interest.

Before these two steps, you can also use statics to simplify the structure by removing

various loading arms and replacing them with a statically equivalent force-moment

system. Note that forces and moments must be resolved to the centroid of the crosssection of the bar on which you are determining the stress state.

Figure 1: Structure subjected to combined loading.

M...

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