Three forces act at point O. Force F1 has magnitude F1 = 17.4 kips. The direction angles for F1 are (α1, β1, γ1) = (76.6°, 108°, 22.6°). Force F2 = (−27.0i + 10.0j + 27.0k) kips. Force F3 = (4.00i + 6.00j − 34.0k) kips.
(a)Determine the resultant force FR, = F1 + F2 + F3 in kips [reported in Cartesian vector form].
FR = _____ kips
(b) Determine the magnitude of the resultant force in kips.
________kips
(c) Determine the direction angles of the resultant force in degrees.
α = _______ °
β = _______ °
γ = _______ °
(d) Determine unit vectors in the directions of each component force as well as in the direction of the resultant force. (Express your answers in vector form.)
uF1 =
uF2 =
uF3 =
uR =
In: Civil Engineering
Convert a position expressed in one of the vector notations to the others
From
Magnitude and Angle Form
Cartesian Component Form
Magnitude, Direction, Sense Form
In: Civil Engineering
Design a strap footing to support the two columns. These structural elements are spaced at a distance of 5.4 m center to center. Exterior column is 300 mm x 300 mm and carries a dead load of 250 KN and a live load of 300 KN. Interior column is also 350 mm x 350 mm in cross section and carries a dead load of 360 KN and a live load of 580 KN.
Use f'c = 21 MPa, fy = 276 MPa, and q-all net = 160 KPa. Assume weight of footing to be 9% of total load.
In: Civil Engineering
What are the steps for designing footings for a building? (In terms of dimensions, reinforcing steel, ...)
according to aci code (metric system)
In: Civil Engineering
In: Civil Engineering
How did the Kings of England begin to centralize political power during the high middle ages? In what ways were they checked by the church and the nobility?
In: Civil Engineering
In: Civil Engineering
Consider a pipe that branches out into three parallel pipes and then rejoins at a junction downstream. All three pipes have the same diameters (D= 3 cm) and friction factors (f= 0.018). The lengths of pipe 1 and pipe 2 are 5 m and 8 m, respectively while the velocities of the fluid in pipe 2 and pipe 3 are 2 m/s and 4 m/s, respectively.
Solve for the headloss at the junction (m).
In: Civil Engineering
A grade line AB having a slope of -4% intersect another grade line BC having a slope of +2% at B. The elevations of points A, B and C are 93 m, 87 m and 92 m respectively. Determine the:
a) elevation of the sag of the 200 m vertical parabolic curve to connect the grade lines;
b) location of sag from where the curve starts;
c) station of sag if PI is at station 10+20 (format: 00+00.00);
d) vertical distance from point B to curve;
e) elevation at station 09+80.
In: Civil Engineering
The tank (moving horizontally) is to suffer an acceleration of
4.5 m/s2 without losing water. Tank is 7 m square at bottom with
water 3m deep.
Specific question for this problem
Calculate the hydrostatic force acting on the left side of the tank in KN
In: Civil Engineering
In: Civil Engineering
Q1
Which of the following are NOT tests which are used to assess the performance of astabilization or solidification process?
a. corrosion test b. EP TOX c. paint filter test d. TCLP
Q2
Given that you receive a dose of radiation of 1 milli-rad, the highest tissue damage wouldresult if the radiation adsorbed was in the form of:
a. Alpha b. Beta c. Gamma d. X-rays e. all the same
Q3
When a radioactive isotope decays by emission of an alpha particle:
a. an element with a lower atomic number results b. the same element with a different molecular weight results c. an element with a higher atomic number results resultsd. there is no change in the element or its molecular weight6.
Q4
When a radioactive isotope decays by emission of a beta particle:
a. an element with a lower atomic number results b. the same element with a different molecular weight results c. an element with a higher atomic number results results
d. there is no change in the element or its molecular weight
In: Civil Engineering
Q.1 Concrete is a composite material. From microscopic point of
view, it can be considered
as a three-phase composite with aggregate, cement paste and
interface zone between
these two components.
1. For concrete with 28-day compressive strength of 35 Mpa
(5076psi) made with
ordinary Portland cement and crushed granite aggregate, which phase
of the
concrete is generally the weakest?
2. If the granite aggregate for the concrete mentioned in (i) is
replaced by lightweight
aggregate. How would this affect the strength of concrete?
3. If we would like to increase the strength further, what approach
shall we take?
Note: Explain in detail answer quetion.
In: Civil Engineering
Wage and Tax Statement Data on Employer Federal Insurance Contributions Act tax used to finance federal programs for old-age and disability benefits (social security) and health insurance for the aged (Medicare).FICA Tax
Ehrlich Co. began business on January 2. Salaries were paid to employees on the last day of each month, and social security tax, Medicare tax, and federal income tax were withheld in the required amounts. An employee who is hired in the middle of the month receives half the monthly salary for that month. All required The total amount paid to employees for a certain period.payroll tax reports were filed, and the correct amount of payroll taxes was remitted by the company for the calendar year. Early in the following year, before the Wage and Tax Statements (Form W-2) could be prepared for distribution to employees and for filing with the Social Security Administration, the A detailed record of each employee's earnings.employees' earnings records were inadvertently destroyed.
None of the employees resigned or were discharged during the year, and there were no changes in salary rates. The social security tax was withheld at the rate of 6.0% and Medicare tax at the rate of 1.5% on salary. Data on dates of employment, salary rates, and employees' income taxes withheld, which are summarized as follows, were obtained from personnel records and payroll records:
| Employee | Date First Employed | Monthly Salary | Monthly Income Tax Withheld | ||
| Arnett | Nov. 16 | $3,300 | $488 | ||
| Cruz | Jan. 2 | 5,100 | 959 | ||
| Edwards | Oct. 1 | 2,500 | 310 | ||
| Harvin | Dec. 1 | 2,600 | 322 | ||
| Nicks | Feb. 1 | 10,200 | 2,295 | ||
| Shiancoe | Mar. 1 | 3,600 | 551 | ||
| Ward | Nov. 16 | 8,400 | 1,814 | ||
Required:
1. Calculate the amounts to be reported on each employee's Wage and Tax Statement (Form W-2). Enter amounts to the nearest cent if required. Enter all amounts as positive numbers.
| Employee | Gross Earnings | Federal Income Tax Withheld | Social Security Tax Withheld | Medicare Tax Withheld | ||||
| Arnett | $ | $ | $ | $ | ||||
| Cruz | ||||||||
| Edwards | ||||||||
| Harvin | ||||||||
| Nicks | ||||||||
| Shiancoe | ||||||||
| Ward | ||||||||
| $ | $ | |||||||
2. Calculate the following employer payroll taxes for the year: (a) social security; (b) Medicare; (c) state unemployment compensation at 5.4% on the first $10,000 of each employee's earnings; (d) federal unemployment compensation at 0.8% on the first $10,000 of each employee's earnings; (e) total. Round your answers to two decimal places.
| (a) | $ |
| (b) | $ |
| (c) | $ |
| (d) | $ |
| (e) | $ |
In: Civil Engineering
In: Civil Engineering