Civil and Environmental Engineering Answers

A unit cube of a transversely isotropic solid is subjected to uniform surface tractions resulting in the strain, , where  is a constant. The symmetry axis of the solid is on the -plane and is inclined at angle to -axis.

(a) Calculate the applied tractions in terms of the elastic constants and .

(b) Compare results with those for an isotropic solid.

5. NORMAL TENSION. A steel tape having a cross-sectional area of 0.06cm.sq and a modulus of elasticity of 2.0x10^6 kg/cm.sq, weighs 0.03kg/m. Its length is 30.00m when standardized at pull of 5kg and supported throughout its length. Determine the tension at which the effect of sag will be eliminated by the elongation of the tape due to increased tension.

4. COMBINED CORRECTION. A 50m steel tape is of standard length under a pull of 5.50kg and a temperature of 20°C when supported throughout its entire length. The tape weighs 0.05kg/m, has a cross-sectional area of 0.04 cm.sq and a modulus of elasticity of 2x10^6 kg/cm^2. This tape was used in the field to measure a distance that was determined to be 458.650. The constant pull applied was 8kg with the tape supported only at endpoints. During the measurement the temperature was observed to be at an average of 18°C. Use   C  11.6 10 / 6 

a. Determine the correction due to tension.

b. Determine the correction due to change in temperature.

c. Determine the correction due to sag.

d. Determine the correct length of the line.

1. SLOPE TAPING. A measurement is made along a line that is inclined by a vertical angle of

15°25’ as measured using a hand level and clinometer. The slope measurement is 756.52m. What

is the corresponding horizontal distance?

2. CORRECTION OF TAPE LENGTH. The correct distance between points E and F is 213.50m. If a 100m tape that is 0.025m too long is used to measure EF, what will be the measured distance?

3. CORRECTION OF TAPE LENGTH. The sides of a square lot having an area of 2.25 hectares

were measured using 100m tape that was 0.04m too short. Compute the error in the area.

Construct the truth table for (pVq)∧(p∧q)

Determine the area bounded by the curves y= 1/x, 2x - y =0, x=11, and the x-axis

Find the area under the curve y=x^2 + 1 and the x-axis between x=0 and x=3. *

Find the volume generated under the curve y=x^2 + 1 and the x-axis between x=0 and x=3, rotated about the x-axis *

Find the volume generated under the curve y=x^2 + 1 and the x-axis between x=0 and x=3, rotated about the y-axis 

Determine the area bounded by the curves x= 3, y= 4 and the axes in 1st quadrant. *