Civil and Environmental Engineering Answers

10. In a curved prestressed bridge, how should the guided bearings in piers of the curved region be oriented with respect to the fixed bearing in abutment?

6. Sometimes the side of concrete bridges is observed to turn black in colour. What is the reason for this phenomenon?

The free end ofa cantilever is supported by a 10 mm diametre steel wire. Determine the force in wire and maximum bending moment in the beam when the cantilever is subjected to a uniformly distributed load of intensity 40 kN/m over its entire length (Figure 11.25). Given, flexural rigidity of beam = 1 x 10" Nmm®*, Young's Modulus of the steel wire = 2 « 10° Nimm*.  

Redefine each piecewise function into the Heaviside function and find its Laplace transform.

𝑓(𝑡) ቄ

1, 0 ≤ 𝑡 < 5;

𝑒

−(𝑡−2), 𝑡 ≥ 5.

4. Convert the following azimuths to equivalent bearings.

a. AZIMs of Line CD = 270°00’

b. AZIMn of Line DE = 228°15’

c. AZIMs of Line EF = 135°00’

5. A field is in the form of a regular pentagon. If the true bearing of side AB is N 30°30’E, determine the true azimuth from south of the following sides of the field: AB, BC, and CD. Assume that the corners of the field are labeled in a clockwise direction.

a. Determine the interior Angles.

b. Determine the true bearing and true azimuth of Side AB.

c. Determine the true bearing and true azimuth of Side BC.

d. Determine the true bearing and true azimuth of Side CD.

1. Compute the angles EOF and GOH from the following set of lines whose magnetic bearings

are given:

a. OE, S 15°14’ E and OF, S 36°00’ W

b. OG, N 70°15’ W and OH, S 52°05’ W

2. Compute the angle EPF from the following set of lines whose azimuths are given. AZIMn of Line PE = 219°02’ ; AZIMs of Line PF = 154°16’

3. Convert the following bearings to equivalent azimuths.

a. AB, S 50°10’ E

b. CD, S 45°50’ W

c. EF, N 66°30’ W

A weekly business magazine offers a 1-yearsubscription for $58 and a 3-year subscription for $116. If

you thought you would read the magazine for at least the next 3 years, and consider 20% as a minimum

rate of return, which way would you purchase the magazine: With three 1-year subscriptions or a single

3-year subscription?

A purchasing agent plans to buy some new equipment for the mailroom. Two manufacturers have

provided bids. An analysis shows the following:

Manufacturer Cost Useful Life (years) End-of-Useful-Life

Salvage Value

Speedy $2500 7 $250

Allied 2600 7 425

The equipment of both manufacturers is expected to perform at the desired level of (fixed)output. For a

7-year analysis period, which manufacturer’s equipment should be selected? Assume 7% interest and

equal maintenance costs.

Using the method of joints, determine

the force in each member of the truss

Determine maximum diameter of hole that can be punched through a plate of 10mm thick,if the punch can withstand a compressive stress of 500mpa and ultimate shear stress of 200mpa