Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN: 9781337094740
Author: Segui, William T.
Publisher: Cengage Learning
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Chapter 4, Problem 4.9.5P
To determine
The nominal compressive strength.
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In order to reinforce a column in an existing structure, two channels are continuously welded to the column as shown below. Fy = 50 ksi for both the column and the channels. The effective length with respect to each axis is 16 feet.
a) calculate the Moment of Inertia about each axis of the built-up shape.
a) what is the available axial compressive strength and what is the percentage increase in strength? Use both LRFD and ASD.
AW18
x 40 standard steel shape is used to support the loads shown on the beam. Assume P = 21 kips, w = 3.0 kips/ft, LAB = 3.0 ft, LBC
= 3.0 ft, and Lcp = 14.2 ft. Determine the magnitude of the maximum bending stress in the beam.
A
#1
LAB
Answer:
Omax = i
B
LBC
C
ksi
W
LCD
D
X
AW18 x 40 standard steel shape is used to support the loads shown on the beam. Assume P = 18 kips, w = 4.6 kips/ft, LAB = 3.4 ft, LBc =
3.4 ft, and LCD= 16.6 ft. Determine the magnitude of the maximum bending stress in the beam.
A
P
Answer:
Omax
LAB
=
B
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LBC
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ksi
W
LCD
D
X
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Chapter 4 Solutions
Steel Design (Activate Learning with these NEW titles from Engineering!)
Ch. 4 - Prob. 4.3.1PCh. 4 - Prob. 4.3.2PCh. 4 - Prob. 4.3.3PCh. 4 - Prob. 4.3.4PCh. 4 - Prob. 4.3.5PCh. 4 - Prob. 4.3.6PCh. 4 - Prob. 4.3.7PCh. 4 - Prob. 4.3.8PCh. 4 - Prob. 4.4.1PCh. 4 - Prob. 4.4.2P
Ch. 4 - Prob. 4.6.1PCh. 4 - Prob. 4.6.2PCh. 4 - Prob. 4.6.3PCh. 4 - Prob. 4.6.4PCh. 4 - Prob. 4.6.5PCh. 4 - Prob. 4.6.6PCh. 4 - Prob. 4.6.7PCh. 4 - Prob. 4.6.8PCh. 4 - Prob. 4.6.9PCh. 4 - Prob. 4.7.1PCh. 4 - Prob. 4.7.2PCh. 4 - Prob. 4.7.3PCh. 4 - Use A992 steel and select a W14 shape for an...Ch. 4 - Prob. 4.7.5PCh. 4 - Prob. 4.7.6PCh. 4 - Prob. 4.7.7PCh. 4 - The frame shown in Figure P4.7-8 is unbraced, and...Ch. 4 - Prob. 4.7.9PCh. 4 - Prob. 4.7.10PCh. 4 - Prob. 4.7.11PCh. 4 - Prob. 4.7.12PCh. 4 - Prob. 4.7.13PCh. 4 - Prob. 4.7.14PCh. 4 - Prob. 4.8.1PCh. 4 - Prob. 4.8.2PCh. 4 - Prob. 4.8.3PCh. 4 - Prob. 4.8.4PCh. 4 - Prob. 4.9.1PCh. 4 - Prob. 4.9.2PCh. 4 - Prob. 4.9.3PCh. 4 - Prob. 4.9.4PCh. 4 - Prob. 4.9.5PCh. 4 - Prob. 4.9.6PCh. 4 - Prob. 4.9.7PCh. 4 - Prob. 4.9.8PCh. 4 - Prob. 4.9.9PCh. 4 - Prob. 4.9.10PCh. 4 - Prob. 4.9.11PCh. 4 - Prob. 4.9.12P
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- Problem 1. The composite beam shown below carries a cantilevered load of 10 kN. The beam consists of one 30 x 124 mm plate and four 12 x 50 mm plates. They are pinned together at 120 mm intervals with round pins. The pin material has a shear strength of 159 MPa. Compute the minimum acceptable diameter for the pins. O O O O O O O -0 O 0- O 1000 mm Do O -120 mm (typ) O O O P = 10 KN 30 x 124 mm 12 x 50 mm (typ)arrow_forwardX Your answer is incorrect. AW18 x 40 standard steel shape is used to support the loads shown on the beam. Assume P= 19 kips, w = 3.8 kips/ft, LAB = 5.2 ft, LBc = 5.2 ft, and LCD = 14.4 ft. Determine the magnitude of the maximum bending stress in the beam. %3D P. D LAB LBC LCD Answer: ksi Omax 3.45 Cubmit nnwerarrow_forwardAW18 x 40 standard steel shape is used to support the loads shown on the beam. Assume P = 28 kips, w = 3.8 kips/ft, LAB = 4.6 ft, Lec = 4.6 ft, and Lco = 15.0 ft. Determine the magnitude of the maximum bending stress in the beam. %3D %3D B |C D LAB LBC LCD Answer: Omax = ksiarrow_forward
- PLEASE WRITE YOUR COMPLETE SOLUTION AND BOX THE FINALS ANSWERS. THANK YOU. A composite bar consists of steel segments with different cross-sections are rigidly fastened as shown. Axial loads are applied at the positions indicated. The stress must not exceed 116 MPa in tension, and 77 MPa in compression. Determine the following: (a) the safe value of P to the nearest safe 1 kN, if the diameter of segment 1 is 100 mm; (b) the required side length of the equilateral triangle segment 2 to the nearest safe 25 mm; and (c) the required side length of the regular pentagon segment 3 to the nearest safe 25 mm.arrow_forwardCompute for the beam shown. Use psi and psi. Does the compression steel yield in this beam at nominal strength?arrow_forwardDetails of a rectangular column are as follows: Column width along X-axis-250 mm Column Depth along the Y-axis-600 mm 8-25 mm diameter bars distributed equally along the longer sides. 10 mm diameter ties spaced at 10 mm on centers Concrete 28th day Compressive strength, fc;=20.7 MPa Reinforcing Steel yield strength, fy-415 MPa Assume that compression steel yields. a) Which of the following gives the nominal balanced load Pb (kN). A = 90.4 mm b) Which of the following gives the nominal axial load (kN) that the column n carry at an eccentricity of 200 mm along the X axis from the centroidal Y-axis.arrow_forward
- AW18 x 40 standard steel shape is used to support the loads shown on the beam. Assume P = 25 kips, w = 3.6 kips/ft, LAB = 5.6 ft, LBC = 5.6 ft, and LcD = 16.8 ft. Determine the magnitude of the maximum bending stress in the beam. LAB Answer: Omax = i B LBC C ksi W LCD D ZOQ Q 214% TOP BARI ENG 11:41 am 35 28/04/2023 8 coresarrow_forwardA simply supported beam is reinforced with 5-ϕ25 mm at the bottom and 2-ϕ20 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc’= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = mm Design strength of the beam section to the nearest whole number = kN·m Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = kN/m (to the nearest whole number)arrow_forwardA simply supported beam is reinforced with 5-ϕ25 mm at the bottom and 2-ϕ20 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc’= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = __ mmarrow_forward
- A simply supported beam is reinforced with 5-ϕ25 mm at the bottom and 2-ϕ20 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc’= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = kN/m (to the nearest whole number)arrow_forwardThe details of the cantilever beam are shown below. Use f’c = 28 MPa, fy = 415 MPa, and fyt = 275 MPa. Notes:• All dimensions are in millimeters.• Column reinforcement not shown for clarity• Column and beam are neither exposed to weather nor contact with the ground.• Analyze as singly reinforce beam only.• Neglect the weight of the beam.• Concrete is normal weight and reinforcements are galvanized. What is the flexural capacity of the beam at face of support in kNm? What is the shear capacity of the beam at face of support in kN? What is the maximum Pu (kN) that can be applied at the free end of the beam considering flexure and shear? What is the required minimum cut length (mm) of each stirrup? Round your answer to nearest safe25 mmarrow_forwardA simply supported beam is reinforced with 5-p25 mm at the bottom and 2-020 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc'= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = mm Design strength of the beam section to the nearest whole number = kN -m Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = kN/m (to the nearest whole number)arrow_forward
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