Strength of Materials IText book

Introduction to mechanics of solids by egor popov

References

Strength of Materials by Singer

Strength of Materials by Temoshinko

Strength of Materials by Khurmi

Strength of Materials fundamentals by Al-Hussaini

Mechanics of Materials:- is that field of the structural engineering branch studying the behavior of materials under loads.

.سلوك المواد تحت األحماليدراسة اإلنشائية هواحد فروع الهندسة -: ميكانيكا الموادOr

Investigate the internal resistance and deformation of the solid body subjected to loads

.لألحمالالمعرض والتشوه لالجسام الصلبة من المقاومة الداخلية يتحرى

The strength of a material is its ability to withstand an applied load without failure

or plastic deformation. The field of strength of materials deals with forces and

deformations that result from external forces that acting on a material.

تعامل مع القوى والتشوهات الناتجة مقاومة المواد ت. دائميأو تشوه فشلدون سلط عليها قدرتها على تحمل الحمل المهية المادة مواقم

.عن القوى الخارجية التي تعمل على مادة ما

DEFINITION

Units • British system: a system of weights and measures based on the foot and pound and second and

pint. British Imperial System, English system. system of weights and measures - system of

measurement for length and weight and duration.

• Metric system : The metric system is a system of measurement that uses the meter, liter, and gram as

base units of length (distance), capacity (volume), and weight (mass) respectively. To measure smaller or

larger quantities, we use units derived from the metric units.

• SI system :SI unit is an international system of measurements that are used universally in technical and

scientific research to avoid the confusion with the units. Having a standard unit system is important

because it helps the entire world to understand the measurements in one set of unit system. Following is

the table with base British system , metric system and SI units:

Name of the Quantity British system Metric system SI system

1 Length (l) Foot (ft), inch (in) Meter (m) Meter (m)

2 Force (F) Pound (lb) Newton (N) Newton (N)

3 MASS (M) Pound (lb) GRAM GRAM

4 TIME Second (sec) Second (sec) Second (sec)

5 temperature Fahrenheit (°F) degree Celsius (°C) degree Celsius (°C)

6 Electric current (I) Ampere (A) Ampere (A) Ampere (A)

pin support Roller support

Simply support beam

pin support Roller support

Over Hanging beam

pin support Roller support

TYPES OF BEAMS ACCORDING TO SUPPORTS

Fixed support

Cantilever beam

Free End

pin support Roller support

continuous beam

pin support pin support

Fixed support

Fixed beam

Fixed support Roller support

Propped Cantilever beam

Fixed support

https://www.youtube.com/watch?v=akESczxuTz8 ادخل على الموقع الرفق لتوضيح كيف تكون العتبة في الواقع

TYPES OF Loads

1-Concentrated load

2-Concentrated moment

3-Uniformly distributed load

4-Triangular load

EXAMPLE 1: CALCULLATE THE REACTIONS IN SIMPLY SUPPORTED BEAMS SHOWN BELOW>

A B

2kN/m

1 m 2m

4kN

1 m 1 m

SOLUTION:-

𝑓𝑥 = 0

Ax=0

𝑀𝐵 = 0

Ay(5) – 2x2x3- 4x1 =0

Ay= 3.2 kN

𝑓𝑦 = 0

Ay+ By – 2x2- 4 =0

3.2+ By – 2x2- 4 =0

By= 4.8 kN

AB

2kN/m

1 m 2m

4kN

1 m 1 m

By=4.8 kNAy= 3.2 kN