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Mechanics of Materials

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1 Mechanics of Materials
ميكانيكا المواد Mechanics of Materials

2 Office Hours Mechanics of Materials 3, 0, 3 Required Core Course
Strength of Materials Lec. 1 Course ID Course Name Hours Course Type 803323 Mechanics of Materials 3, 0, 3 Required Core Course Instructor Office Extension Mohammed A Alsabban G1153, Building G 1142 Office Hours Monday 11:00am-12:00 noon Grading توزيع الدرجات HW 10% الواجبات Attendance 10% الحضور 1st MT 15% يوم 27 شعبان 2nd MT 15% يوم 19 رمضان Final 50% يوم 17 شوال

3 Class/Lab Schedule Theory Section 1: Sun & Mon 1:00pm – 2:40 pm Teaching Assistance Section 1: Wed 1:00pm–2:40pm Course Objective Student learns how to calculate the stresses, strains and displacements in material due to external axial, bending and torsional loads. The student gets the ability to use these techniques to obtain maximum stress at a point and in designing simple structural elements. Course Description (Catalogue) Concept of stress and strain, state of stress and strain at a point, equilibrium, stress–strain and strain displacement relationship. Two-dimensional problems. Stress transformation. Shear force and bending moment relations and diagrams. Torsion, Combined loading, Statically indeterminate problems, Energy method and stability.

4 Statics (803-221) Course Contents (Catalogue) Prerequisite courses
Stresses and strains due to axial loads, stress-strain diagram, hook’s law, moment, shear, two and three dimension problems. The relation between the forces and bending moment and shear forces. Reactions in beams, shear in beams, bending moment and shear force reactions in beams. Moment of inertia, shear stress, Principle stresses, strain–displacement relationship, Mohr’s circle to determine stresses and strain. Torsional moment, shear due to torsion – statically indeterminate problems. Energy method and stability. Prerequisite courses Statics ( ) Textbook References Hibbeler, R. C., “Mechanics of Materials”, Seventh SI edition, Pearson, 2009 Lectures are presented using power point and copies are sent to students' s

5 تقديم Introduction Mechanics of Materials is the study of the internal effect of external forces applied to structural member. Stress, strain, deformation deflection, torsion, flexure, shear diagram, and moment diagram, topics covered by this subject.دراسة تأثير القوى الخارجية على المادة داخليا، الاجهاد والانفعال والتشوه وتغير الحجم، الالتواء والانثناء، القص والعزوم وابرازهم بيانيا Materialsدراسة المواد المتوفرة Stiffness (deformation characteristics)مقاومة المادة لتغير الحجم والشكل تحت تأثير القوى الخارجية Stability (of load-carrying members)اتزان الأعضاء

6 دراسة خصائص الموادCharacteristics of Materials
Laboratory تتم في معامل Specimens بأخذ عينات قياسية Testواجراء اختبارات قياسية Behaviorورصد Physical Characteristics وتحديد الخصائص الميكانيكية

7 Method of Sections طريقة المقاطع
Internal resistance of a bodyمقاومة داخلية Forces within to balance external forcesقوى داخلية توازن القوى الخارجية Stable body at rest is in equilibriumالجسم الساكن جسم مستقر Arbitrary section (suggested where?)مقطع اختياري Body divided into partsيقطع الجسم الى أجزاء Parts must also be in equilibrium الاجزاء المقطوعة في حالة اتزان External forces are balanced by the internal forcesالقوى الداخلية تتوازن مع القوى الخارجية Free Body Diagram (FBD)رسم حر للنظام يساعد في تحليله

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9 Stressالإجهاد Stress : Intensity of Force, or force divided by area [N/m2], called [Pascal]الاجهاد شدة القوة على وحدة مساحة Perpendicular and Parallel resolution of stressعمودي أو موازي للسطح

10 اجهاد رأسي (عمودي) Normal Stress σ

11 Normal Stress σ Tension force produces tensile stresses to lengthen the member.قوة الشد ينتج عنها اجهاد شد ويطيل من العضو Compressive force produces compressive stresses to shorten the member.قوة الضغط ينتج عنها اجهاد ضغط ينقص من طول العضو

12 اجهاد القص Shear Stress τ
Parallel to plane موازي للسطح

13 The most general state of stress acting on an element

14 Equilibriumالاتزان If the body as a whole is in equilibrium, any part of it must also be in equilibrium.الجسم المتزن أي جزء مقطوع منه متزن ∑ F external = ∑ F internal مجموع القوى الخارجية تساوي مجموع القوى الداخلية

15 Area [m2 or mm2] Stress [Pascal, Pa] Pa = Pascal = Units (SI)
Strength of Materials Lec. 1 Units (SI) Force [ Newton, N] Area [m2 or mm2] Stress [Pascal, Pa] Pa = Pascal = MPa = Mega Pascal =

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17 The most general state of stress acting on an element

18 Axial Load and Normal Stress
Stress is maximum when plane of cut is perpendicular to force. Axial loads produces uniaxial stress Loads acting through the centeroid of the cross-sectional area produces uniformly distributed stress

19 Average Shearing Stress
Stresses in the plane parallel to the applied force Assuming uniformly distributed stress The average shearing stress is

20 Critical Section Section that have the minimum cross-sectional area and the greatest axial force Maximum Stress occurs at the critical section

21 Equilibrium Equations
For 2-D (x-y plane) it is reduced to:

22 Determinate VS Indeterminate
Depending on the number of the unknown reactions a problem may be identified as: Determinate Or Indeterminate Ways to solve problems will differ accordingly

23 Factor of Safety For design purposes ultimate strength can NOT be applied directly and a factor of safety is introduced. Reasons: Not sure about magnitude of applied force Assumed Uniformity of material is no exactly true. Corrosion Plastic deformation under sustained loads Cyclic Loading and Fatigue Residual Stresses

24 Review Support Reactions

25 Review Equilibrium:

26 Internal Resultant Loadings
Review Internal Resultant Loadings

27 Review Coplanar Loadings

28 Examples

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41 Homework Problems

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44 Review Average normal stress

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54 Review Average shear stress

55 Pure Shear

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63 Homework Problems

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66 Review Allowable Stress

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68 Design of Simple Connections
Review Design of Simple Connections

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77 Homework Problems

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