Structural Steel Design (6th Edition)
6th Edition
ISBN: 9780134589657
Author: Jack C. McCormac, Stephen F. Csernak
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 2.12PFS
A structural steel beam supports a roof that weighs 20 psf. An analysis of the loads has the following:
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A simply supported beam is reinforced as shown in the figure. With material strengths f’c = 21 MPa, long bar fy = 415 MPa and stirrup bar fy = 275 MPa, and load factors 1.2 for dead load and 1.6 for live load combination, calculate the following:
a. Determine the ultimate shear force (kN) at critical section distance “d” from the face of support.
b. Nominal shear strength of concrete (kN) as per NSCP 2015.
c. Spacing of 10-mm stirrups at the critical section for shear in mm.
d. Location of section from the left support where stirrups are no longer required.
Lecture Five
Reinforced Concrete
Example_2:
A cantilever beam as shown below has a rectangular cross section of b=200mm,
d=390mm, span=2.4m with 3 bars of 22mm diameter, carries a uniform dead load
including it s own weight of 12 kN/m and L.L of 10.5 kN/m. Check the adequacy
of the section, using f of 28 MPa and fy of 280 MPa
70
Wd+ WL
390
Sol:
2.4 m
200
What is the value of the long term deflection for the double reinforced beam having a base of 250 mm, d of 400 mm, As = 3000 mm^2, As' = 1000 mm^2. If the computed value of deflection deadload = 5.50 mm, deflection live load = 10.00 mm, deflection sustained live load = 7.00 mm. The long term deflection to be considered is 8 years.
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- A column in the upper story of a building is subjected to a compressive load from the followingsources: dead load = 30.8 kips, occupancy live load = 1.7 kips, roof live load = 18.7 kips, andsnow load = 19.7 kips. Determine the factored load (required strength) to be used in the designof the column. Which load combination controls? What is the required design strength of the column? What is the required nominal strength of the column for a resistance factor of 0.9?arrow_forward4. An unequal angle bar 150 mm x 75 mm thickness of metal 8 mm is used as a joist free supported over a span of 3 meters with its longer leg placed vertically. Find the safe uniformly distributed load that it can carry if the maximum permissible bending stress is 120 MN/m2. Also calculate the maximum tensile stress under the load.arrow_forwardA timber beam in an existing building is 200 mm wide and 380 mm deep and is simply supported at the ends of 4 6 m span. A) Calculate the safe uniformly distributed load for the timber alone if the bending stress must not exceed 7 N/mm2. B) It is proposed to strengthen the beam to enable it to carry a uniformly distributed load of 150 kN by bolting two steel plates to the beam as shown below. Calculate the required thickness t of the plates if the plates if the maximum permissible stress for the steel is 140 N/mm2 and the modular ration is 24arrow_forward
- 2. A concrete beam is shown below. A. Determine the magnitude of the resultant force acting on the beam (2 decimal places) B. The distance of resultant force from the left edge (3 decimal places) C.If the loads will be replaced by a single force located at the left edge, what moment must be paired with it (Clockwise positive) to be equivalent to the original loads? (2 decimal places) w, w, M Given W1 = 11 kN/m W2 = 14 kN/m %3D M = 4.3 kNm L1 = 4.1 m L2 =1.9 marrow_forwardWhat is the value of the long term deflection for the double reinforced beam having a base of 250 mm, d of 400 mm, As = 3000 mm^2, As' = 1000 mm^2. If the computed value of deflection deadload = 5.50 mm, %3D deflection live load = 10.00 mm, deflection sustained live load = 7.00 mm. The long term deflection to be considered is 8 years. 24.286 mm 30.000 mm 26.667 mm None of the Choices 21.111 mm 22.500 mmarrow_forwardExplain how your answer to the problem below affects the design of a structure. Explain how the required tension steel area affects the design of a structure. Problem: A rectangular beam has b = 300 mm and d =490 mm. Concrete compressive strength is 27 MPa and steel yield strength is 276 MPa. Calculate the required tension steel area if the factored moment is (a) 20 kN-m, (b)140 kN-m, (c) 485 kN-m, and (d)520 kN-m.arrow_forward
- In the figure below, find the value of uniform load w (kN/m) that can be applied on the composite beam if the maximum stresses in steel and timber are 48MPa and 3.2MPA, respectively. Est=195GPa,Etimber=13GPA 120mm W Steel 10mm Timber 300mm 2m 4m 2m 250mm Steel 10mm 120mmarrow_forwardA reinforced concrete column 254 mm in diameter is designed to carry an axial compressive load of 398 kN. Using allowable stresses of 4 MPa for concrete and 141 MPa for steel, determine the required number of reinforcing steel bars with a diameter of 20 mm. Assume that Ec = 13 GPa and Es = 202 GPa. Answer must be rounded to the next whole number.arrow_forwardThe various axial loads for a building column have been computed according to the applicable building code, with the following results: dead load =200k ;load from roof=50k (roof live load); live load from floors (reduced as applicable for large floor area and multistory columns) =250k; compression wind=128k; tensile wind=104k; compression earthquake=60k;and tensile earthquake=70k.Determine the critical design column load, Pu, using the LRFD load combinations.arrow_forward
- The various axial loads for a building column have been computed according to the applicable building code, with the following results: dead load =200k; load from roof=50k (roof live load); live load from floors (reduced as applicable for large floor area and multistory columns) =250k; compression wind=128k; tensile wind=104k; compression earthquake=60k; and tensile earthquake=70k. Determine the critical design column load, Pu, using the LRFD load combinations. LRFD: 1.) U=1.4D 2.) U=1.2D +1.6L + 0.5(Lr or S or R) 3.) U=1.2D + 1.6(Lr or S or R) + (L* or 0.5W) 4.) U= 1.2D + 1.0W + L* + 0.5 (Lr or S or R) 5.) U=1.2D + 1.0E + L* + 0.2(S) 6.) U= 0.9D + 1.0W 7.) U= 0.9D + 1.0Earrow_forward2. A concrete beam is shown below. A. Determine the magnitude of the resultant force acting on the beam (2 decimal places) B. The distance of resultant force from the left edge (3 decimal places) C. If the loads will be replaced by a single force located at the left edge, what moment must be paired with it (Clockwise positive) to be equivalent to the original loads? (2 decimal places) Ws Wz M W1= 11 kN/m W2= 14 kN/m M= 4.3 kNm L1= 4.1 m L2=1.9 m A. R= kN (2 decimal places) В. х3 m (3 decimal places) С. М3 kNm (2 decimal places)arrow_forwardA timber prop of 120 mm diameter rests on a concrete plinth as shown. The plinth is 50 mm thick. If the shearing stress in the plinth is 12.3 MPa. Determine the axial load applied on top. provide your answer in kN with precision to two decimal points. Answer: 300 120 300arrow_forward
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