Structural Steel Design (6th Edition)
6th Edition
ISBN: 9780134589657
Author: Jack C. McCormac, Stephen F. Csernak
Publisher: PEARSON
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Chapter 2, Problem 2.5PFS
Structural steel beams are to be placed at 6 ft on center under a reinforced concrete floor slab. If they are to support a service dead load
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A simply supported timber beam with length L - 5m carries a uniformly distributed load w - 8 kN/m. Determine the magnitude of the
maximum compression bending stress that occurs in the beam at any location within the 5-m span length.
300 mm
100 mm
O 16.67 MPa
O 21.39 MPa
O 19.63 MPa
O 10.08 MPa
O 15.13 MPa
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The concrete girders shown in the photo of the passenger car parking garage span 30 ft and are 15 ft on center. If the floor slab is 5 in. thick and made of reinforced stone concrete, and the specified live load is 50lb/ft2 , determine the distributed load the floor system transmits to each interior girder.
Problem Set 3:
The overhanging beam carries a uniformly distributed load totaling 8W
and two concentrated loads of magnitude W each. Determine the safe
value of W if the working stresses are 3 000 psi in tension and 10 000 psi in
compression.
W
8W
W
Lam
AV BV V
VC
1 in
12 in
4ft
16ft
4ft
D
8 in
1 in
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- The T- beam used in a heavy storage warehouse is made of concrete having a specific weight of 125 lb/ft3. Determine the dead load per foot length of beam, and the live load on the top of the beam per foot length of beam. Neglect the weight of the steel reinforcement. (heavy storage warehouse live load = 250 lb/ft2)arrow_forwardThe dimensions for a reinforced concrete beam are given as: b = 300mm d = 400mm d’ = 75mm It is to be designed for a service dead load moment of 30kN-m and a service live load moment of 40kN-m. Suppose f’c = 21MPa and fy = 276MPa, how many 20-mm bars are required to reinforced the beam in terms of steel area?arrow_forwardProblem 1 The members of the truss shown below are of plain concrete. The compressive cylinder strength of concrete is 30 MPa. Determine whether the structure can carry the applied load. 31 KN 24 KN D 120x120mm 40x40mm 40x40mm 120x120mm 300 mm 40x40mm 400 mmarrow_forward
- A 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_forwardA 300mm x 425 rectangular beam is reinforced for tension only with 4-28mm bars. The beam has a concrete cover of 40mm and a stirrup of 10mm diameter bar. The beam carries a live load and a dead load (without its self-weight). Given that unit weight of concrete is 24kN/ cu.m f'c = 21 MPa and fy = 414 MPa, calculate the additional concentrated live load as shown in the figure.arrow_forwardA decorative concrete beam shown is simply supported on a span of 5m. f'c = 21 MPa Unit weight of concrete = 23.5 KN/m³ fr = 3 MPa RSB = 3-28mmo fy = 414 MPa concrete cover = 70mm In addition to its weight, what is the safe maximum uniform live load the beam could support. 100 mm 600 mm As 300 mmarrow_forward
- The concrete girders shown in the photo of the passenger car parking garage span 30 ft and are 15 ft on center. If the floor slab is 5 in. thick and made of reinforced stone concrete, and the specified live load is 50 lb/ft2 (see Table 1.4), determine the distributed load the floor system transmits to each interior girder.arrow_forwardA TIMBER BLOCK "B x B" mm SQUARE IS REINFORCED ON OPPOSITE SIDES BY A "B" mm AND 't' mm THICK STEEL PLATES. DETERMINE THE THICKNESS 't' SO THAT THE ASSEMBLY WILL SUPPORT AN AXIAL LOAD OF 1000 KN WITHOUT EXCEEDING A MAXIMUM TIMBER STRESS OF 12 MPa OR A MAXIMUM STRESS IN STEEL OF 350 MPa. MODULUS OF ELASTICITY OF STEEL AND TIMBER ARE 210 GPa & 7 GPa RESPECTIVELY. B t B t PROB 04arrow_forwardA cantilever timber beam with a span of L-3.7 m supports a uniformly distributed load w. The beam width is b- 320 mm and the beam height is h- 270 mm. The allowable bending stress of the wood is 5.7 MPa. Determine the magnitude of the maximum load w that may be carried by the beam. Answer: w- kN/m. Save for Later Attempts: 0 of 1 used Submit Answerarrow_forward
- A simply supported timber beam 20 cm wide and 40 cm deep carries a point load W at the middle point. The permissible stresses in flexure (bending) and shear is 100 N/cm2 and 150 N/cm2 respectively. Calculate the span length below which the shear stress will govern the safe load and above which the bending stress will govern the safe load.arrow_forwardSituation 1: A concrete overhang beam with the section shown is to support a 150 mm thick concrete slab with a tributary width of 2.70 m. The beam also supports a 3.20 m height of 100 mm thick concrete partition wall. Unit weight of concrete is taken to be 24 kN/m³. Determine the dead load in kN per meter length of beam and determine the maximum fiber stresses (tensile & compressive) due to the imposed dead loads. Draw the complete V&M diagrams. 14 b1 300 mm b3 10.0m G1 120 mm 360 mm LIBRARY Situation 2: Shown below is a floor plan of the library, office and balcony at the second floor level of a condo unit. Use the floor live loads for the given areas: Library area, LL = 5.60 kPa; for Office, LL = 3.20 kPa; and for the Balcony, LL = 2.40 kPa. Determine the live load intensity and load condition to be applied on each member (b1,b2, b3, b4, b5, G1, G2, & G3. Determine also the internal shear and internal moment at the midspan of girder G2. BALCONY G2 G3 4.0m b2 b4 1.2 m FLOOR PLAN 8.0m…arrow_forwardSituation 1: A concrete overhang beam with the section shown is to support a 150 mm thick concrete slab with a tributary width of 2.70 m. The beam also supports a 3.20 m height of 100 mm thick concrete partition wall. Unit weight of concrete is taken to be 24 kN/m³. Determine the dead load in kN per meter length of beam and determine the maximum fiber stresses (tensile & compressive) due to the imposed dead loads. Draw the complete V&M diagrams. -wall 300 mm 120 mm slab 1.2 m 4.8 m 360 mmarrow_forward
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