Derive expressions for the near-tip mode I and mode II stress intensity factors, k1 and k2, respectively, for a center-cracked plate containing a crack which is inclined at an angle ß to the far-field tensile load and subjected to a far-field mode I stress intensity factor, KI. Check your answers with Eq. 9.118.

The bill & melinda gates foundation : William (Bill) H. Gates, III, was born in 1955 and began programming mainframe computers at age 13. While attending Harvard University, Gates developed a version of the programming language BASIC for the first microcomputer--the MITS Altair. |

Gradual development of modern industrialization : Starting with the first part of the previous century, Europe had a growing economy, a flexible social structure, and a good educational system, which assisted the gradual development of modern industrialization. |

Analyze questions associated with chosen case study : Analyze the questions associated with your chosen case study and discuss them using concepts you learned in this course. Explain your rationale for each of your answers to your chosen case study. Format your assignment according to the following form.. |

Standards in school-society and work increased : In text examples related to the Pygmalion effect, Lou Holtz calls for setting a higher standard. Have the standards in school, society, and work increased or decreased over the last five years? |

Derive expressions for the near-tip mode i and mode ii : Derive expressions for the near-tip mode I and mode II |

Determining the order of importance : Evaluate the following criteria, in order of importance to you, in regard to the workplace: material wealth, success, career satisfaction, and work-life. Determine whether or not you believe there is a way to balance them. |

Pros and cons and the synergies : The verdict is out on their success. What are the pros and cons and the synergies of such a move? |

Calculate the ratio bk/bj for a steel for which kic = 250 m : Calculate the ratio bK/bj for a steel for which Kic = 250 MPa , |

How many jars will you need to make 1500 sandwiches : If a 18 ounce jar of peanut butter makes 15 sandwiches, how many jars will you need to make 1,500 sandwiches |

## Calculate the screen drag force of the screenThe static pressures upstream and downstream of the screen are 0.2 and 0.15 psi and are uniformly distributed over the flow cross section area. Neglecting the force exerted by the duct wall on the flowing air, calculate the screen drag force. |

## Determine what horsepower must be supplied to the pumpA pump of 80% efficiency lifts water from one large open tank to another; the difference in water surface elevations is 20 feet. The pipe is relatively smooth (f = 0.0122), and has 3 elbows, each with a loss coefficient of 2/3. |

## Find the final temperatureA horizontal water jet impinges against a vertical flat plate at 25 ft/s and splashes off the sides in the vertical plane. If a horizontal force of 350 lbf is required to hold the plate against the water stream, determine the volume flow rate of the .. |

## What is the vapor pressure of carbon dioxide in the bottleWhat is the vapor pressure of carbon dioxide in the bottle before it is opened (i.e., when it is at equilibrium) assuming no other ions are present besides those related to CO2 and water |

## Design a one way slab to support a uniform live loadDesign a one way slab to support a uniform live load of 300 psf. The beam is simply supported with a span of 20 ft. Use a reinforcement ration ( Ps) of 0.008 Use f'c=3000 psi and fy=60000 psi. |

## What applications are appropriate for eachWhat are the differences between plainsawn and quartersawn lumber? |

## Determine the actual distance below the surface at velocityAssuming the following equation represents the true distribution in the vertical, determine the actual distance below the surface at which the velocity, u, equals the depth-averaged velocity, U. |

## A four-lane freeway two lanes in each direction is ona four-lane freeway two lanes in each direction is on mountainous terrain with 11ft lanes a 5ft right-side shoulder |

## Calculate the required compressive strengthcalculate the required compressive strength for a concrete mix design if f'c = 5000 psi and data indicate a standard deviation of 600 psi based on 15 tests for a similar concrete mix. |

## Neglect the energy stored in the paddle wheelA paddle wheel within the cylinder is rotated until 15 kJ of work is done on the air while the pressure is held constant. Determine the final temperature of the air. Neglect the energy stored in the paddle wheel. |

## What would the trailing hose manometer reading beA pressure quantity survey is being undertaken in an access decline used as an intake airway to an underground mine. The survey uses both traverse barometer and trailing hose methods. |

## Determine what is the maximum speed attainable by the carA driver traveling on a roadway decides to overtake a slow-moving truck traveling at 15 mph. The accelerating characteristic of the car is given by the following: dv/dt= 2.08-0.032v where v is the speed (ft/sec), and t is the time (sec). |

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