Lec5 MECH ENG STRucture
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This document summarizes a lecture on forces and moments transmitted by slender members. It defines slender members as long, skinny structural elements like skis, golf clubs, and I-beams. It discusses axial forces that act along the member's axis, shear forces that act in the plane of the member's face, and bending moments. Sign conventions for these internal loads are also defined. An example is then shown of calculating the internal forces and moments in a beam with a point load applied.
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2. When your daily activities reflect your governing values, prioritized in order of importance, you experience inner peace and avoid neglecting what matters most.
3. You control your life by controlling your time. Focus on identifying vital versus urgent tasks and spend maximum time on important priorities rather than what is simply urgent. Managing events according to your values leads to fulfillment.Theory Of Wing Sections
Theory Of Wing SectionsMohamed Yaser
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This document discusses the development of a new type of battery that could revolutionize energy storage. It describes how the battery uses a solid electrolyte material that conducts ions quickly without using liquid electrolytes. This leads to a battery that charges faster, lasts longer and poses less risk of leaks or fires. The solid-state battery is expected to be commercially available within the next five years and could replace lithium-ion batteries in many applications.F- 20
F- 20Mohamed Yaser
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The Northrop F-20 Tigershark was a privately developed fighter aircraft intended to compete with the F-16 Fighting Falcon. It began flying in 1982 but failed to secure any orders due to the US relaxing restrictions on F-16 sales. While the F-20 had performance comparable to early F-16 models, its airframe was based on the older F-5 design with limited expansion capabilities. The last prototype is displayed at the California Science Center.Copy of book1 in c++
Copy of book1 in c++Mohamed Yaser
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This document lists dates from January 29th to February 28th. It includes columns for important events and tasks but these columns are empty. The document appears to be a monthly calendar intended to log events and tasks but it currently contains no information.structure for aerospace eng
structure for aerospace engMohamed Yaser
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This document provides an introduction and overview of the structural design process for aerospace structures. It discusses that structural integrity is key to prevent failure, and the majority of accidents are due to structural material failure. The course will provide tools to properly design aerospace structures to ensure integrity. It notes that while aircraft structures have been the main focus, the techniques can be generalized to other structures like space structures. The structural design process is then outlined, with the goal being to ensure integrity while minimizing cost, often meaning weight. Key aspects of structural integrity are also defined.Tutorial 2
Tutorial 2Mohamed Yaser
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This document provides a summary of basic MATLAB commands organized into sections:
1) Basic scalar, vector, and matrix operations including declaring variables, performing arithmetic, accessing elements, and clearing memory.
2) Using character strings to print output and combine text.
3) Common mathematical operations like exponents, logarithms, trigonometric functions, rounding, and converting between numeric and string formats.
The document demonstrates how to perform essential tasks in MATLAB through examples and explanations of core commands. It serves as an introductory tutorial for newcomers to learn MATLAB's basic functionality.Tutorial
TutorialMohamed Yaser
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This document provides an introduction to using MATLAB for numerical methods in chemical engineering. It discusses how computers solve problems by breaking them down into linear algebraic systems that can be represented as matrix equations. While compiled languages like FORTRAN are efficient, MATLAB is better suited for education and small-to-medium projects because it is an interpreted language, allowing interactive use without needing to compile code. MATLAB handles tasks like input/output, variable naming, and graphics internally through pre-compiled routines.1
1Mohamed Yaser
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This document provides a tutorial on basic MATLAB commands for creating, manipulating, and operating on vectors and matrices. It describes how to create vectors and matrices, change their entries, perform matrix multiplication and inversion, extract submatrices, and create special matrices like identity and diagonal matrices. Examples are provided to illustrate various commands like eye, inv, backslash, and how to input vectors, matrices, and create M-files for functions and scripts. realitivistic relativity 2.0
realitivistic relativity 2.0Mohamed Yaser
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This document introduces an alternative theoretical framework to Einstein's theory of special relativity called Realitivistic Relativity 2.0. It proposes that star systems and atomic systems are fundamentally similar, with stars behaving like protons and planets like electrons. The author derived mathematical relationships between celestial objects and their quantum counterparts with high accuracy. This work maps objects in star systems to particles in atoms and vice versa, challenging existing interpretations of physics. It aims to simplify and unite physics through reexamining data from first principles without preconceived theories.Lec5 MECH ENG STRucture
- 1. 2.001 - MECHANICS AND MATERIALS I Lecture #5 9/20/2006 Prof. Carol Livermore TOPIC: FORCES AND MOMENTS TRANSMITTED BY SLENDER MEM- BERS? When will a structure fail? Recall: 1. What can the structural elements tolerate? 2. What forces and moments are experienced in the various parts of the structure? EXAMPLE: Airplane EXAMPLE: Truss SLENDER MEMBERS Long, skinny structural elements 1
- 2. L >> b, L >> h EXAMPLE: Skis, Golf Clubs, I-Beams Local axes follow the beam. AXIAL FORCES: Forces that act along the axis of the slender member. FBD Fij (x) = N (x), i: face, j: direction, x: location SHEAR FORCES: Forces that act in the plane of a face.
- 3. Summarize Internal Loads: Moments: Mxz (x2 ) > 0x: face, z: axis, x2 : location Mxz (x) = Mz (x) Bending Moment Sign Convention Summarize sign conventions 3
- 4. N >0 N <0 V >0 V <0 M >0 M <0 4
- 5. EXAMPLE: Calculating internal forces and moments Step 1: Find reactions at supports. Fx = 0 R Ax = 0 Fy = 0 R Ay ? P = 0 R Ay = P MA = 0 MA ? P a = 0 MA = P a 5
- 6. Step 2: If you have a multi-component structure, you will need to ?nd joint forces too. Step 3: Find internal forces and moments. 1. Set up local coordinates. 2. Identify interesting points. 3. Cut beam and do FBDs. 6
- 7. For 0 < x < a Fx = 0 N =0 Fy = 0 P ? Vy = 0 P = Vy MA = 0 P a + Mz ? P x = 0 Mz = P x ? P a = ?P (a ? x) OR (From the other end) FBD Fx = 0 ?N = 0 N =0 Fy = 0 ?P + Vy = 0 Vy = P M? = 0 ?Mz ? P (a ? x) = 0 7
- 8. Mz = ?P (a ? x) Note: This is the same as before. For a < x < L Fx = 0 ?N = 0 N =0 Fy = 0 Vy = 0 M? = 0 ?Mz = 0 Mz = 0 Step 4: Plot result and sanity check. 8