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ENG 243 - Statics Introduction.

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Presentation on theme: "ENG 243 - Statics Introduction."— Presentation transcript:

1 ENG Statics Introduction

2 Engineering Mechanics
Describe how forces affect bodies Applied Physics Equations of Motion Equations of Equilibrium Applied to real-world situations

3 Mechanics Courses Statics Rigid Bodies No Acceleration Dynamics
Rigid Bodies Acceleration Strengths of Mat’ls Deformable Bodies No Acceleration

4 Crane Example How does the crane cable affect the object?
If the box moves first, what happens? If the crane moves first, what happens? What forces affect the crane boom?

5 Units 4 units – 3 basic, 1 derived SI USC Mass – kg Length – m
Time – s Force – derived F = m·a W = m·g 1 kg·m/s2 = 1 N USC Force – lb Length – ft Time – s Mass – derived m = F/a m = W/g 1 lb/ft/s2 = 1 slug

6 Units Be careful with conversions SI: g = 9.81 m/s2
Determine the weight of a 15-kg block USC: g = 32.2 ft/s2 Determine the mass of a 200-lb block

7 Significant Digits Carry intermediate answers Round off last answer
Carry at least one extra digit Don’t round exact numbers – trig functions Round off last answer If the answer begins with 1, show 4 For all others, show 3 Example:  0.243

8 Calculators Basic Scientific Advanced Scientific Sin, Cos, Tan
Square roots/Powers Polar/Rectangular Advanced Scientific Simultaneous Equations Vectors – Cross Products

9 Problem Solving Sketch Given: Find: Primary relationship (equation)
Secondary relationships, assumptions Rewrite to final form Plug in numbers and units Check that you’ve solved the problem

10 Example Problem A concrete column has a diameter of 350 mm and a length of 2 m. If the density of concrete is 2.45 Mg/m3, determine the weight of the column, in pounds. 2 m 350 mm 1. Sketch 2. Given: 3. Find:

11 Example Problem A concrete column has a diameter of 350 mm and a length of 2 m. If the density of concrete is 2.45 Mg/m3, determine the weight of the column, in pounds. 2 m 350 mm 4. Primary equation 5. Secondary equations 6. Rewrite to solve

12 Example Problem A concrete column has a diameter of 350 mm and a length of 2 m. If the density of concrete is 2.45 Mg/m3, determine the weight of the column, in pounds. 2 m 350 mm 7. Plug in numbers and units 8. Check that you’ve solved the problem


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