{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

homework_08

# homework_08 - V f c = 0.1 Find in approximation the mean...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
1.010 Fall 2008 Homework Set #8 Due November 13, 2008 (in class) 1. A concrete column has square cross-section with side length 0.5m. The column is subject to a random axial stress S contributed by two random loads W 1 and W 2 , i.e. S = W W 1 2 where A is the cross-sectional area of the column. The mean value and + A A coefficient of variation of W 1 are m W 1 = 2500kN and V W 1 = 0.2, whereas for W 2 , m W 2 = 3000kN and V W 2 = 0.15. W 1 and W 2 have correlation coefficient " = 0.5. The compressive strength of concrete, f c , is also random and independent of W 1 and W 2 , with mean value m f c = 30000 kN/m 2 and coefficient of variation
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: V f c = 0.1. Find in approximation the mean value and variance of the safety factor SF = f c / S . 2. Daily temperature and humidity are measured each day of a week in August, and the resulting sample is: T ( o F) H(%) 70 81 84 86 79 90 65 77 68 78 86 95 77 86 (a) Plot the sample (Plot H against T). (b) Estimate the mean values and variances of T and H. (Replace the expectation in the definition of m and ! 2 with the sample average) (c) Find the covariance and correlation coefficient between T and H. (Again replace the expectation in the definition of m and ! 2 with the sample average) (d) Suppose that one day temperature is reported to be 80 o F. What would you expect the humidity to be? How much uncertainty would you have on H?...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

homework_08 - V f c = 0.1 Find in approximation the mean...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online