Question 3 Two universal columns of size 203 x 203 x 60 kg/m and a steel beam are used to support a uniformly distributed load of 2 KN/m and two concentrated loads as shown in Fig. Q.3a. Determine the maximum load, P, that can be applied onto the beam using the Euler buckling theory assuming that the beam is of sufficient strength. The self-weight of the beam and the columns are ignored. You may assume that the steel beam is simply supported by the columns and the top of the column is not allowed to move in both the in-plane and the out-of-plane directions.
Homework Answers
7.26 Torking stress in either tension or compression is AMS. 92.8 mm x 185.6 mm o MPa. am 3 m long is simply supported at each end and carries a uniformly distributed load of 10 kN/m. The beam...
7.26
Torking stress in either tension or compression is AMS. 92.8 mm x 185.6 mm o MPa. am 3 m long is simply supported at each end and carries a uniformly distributed load of 10 kN/m. The beam at rectangular cross section, 75 mm x 150 mm. Determine the magnitude and location of the peak bending ress. Also, find the magnitude of the bending stress at a point 25 mm below the upper surface at the section midway betwcen supports....
A horizontal beam AB is pin-supported at the end A and carries a uniformly distributed load...
A horizontal beam AB is pin-supported at the end A and carries a uniformly distributed load with intensity 20 kN/m and a concentrated load F as shown in the figure. The beam is also supported at C by a pinned-end column: the column is restrained laterally at mid-height in the plane of the figure but it is free to deflect perpendicular to the plane of the figure. Assume the column may buckle in any direction. The column is a solid...
The beam of building structure (Fig. 3a) is made of mild steel I-section beam with 80mm...
The beam of building structure (Fig. 3a) is made of mild steel I-section beam with 80mm deep and 60mm wide as shown in Fig. 36. The beam is bolted (simply supported) onto the girder on both side over a span of 1.0 m. The loading from deck is expected to transfer onto the beam as the form of uniform distributed load, w. The material is to be treated as elastic-perfectly plastic, with yield strength of 240 MPa, and elasticity modulus...
P10.047 (Multistep) The simply supported beam shown in the figure consists of a W410 x 60...
P10.047 (Multistep) The simply supported beam shown in the figure consists of a W410 x 60 structural steel wide-flange shape [E = 200 GPa; I = 216 x 100 mm"]. For the loading shown, determine the beam deflection at point B. Assume P = 88 kN, w = 94 kN/m, M = 162 kNm, and d= 1.5 m. .PL IIIIIIIIIIIII Part 3 Neglect the concentrated moment M and the concentrated load P and determine the deflection at B due to...
The beam of building structure (Fig. 3a) is made of mild steel I-section beam with 80mm...
The beam of building structure (Fig. 3a) is made of mild steel I-section beam with 80mm deep and 60mm wide as shown in Fig. 36. The beam is bolted (simply supported) onto the girder on both side over a span of 1.0 m. The loading from deck is expected to transfer onto the beam as the form of uniform distributed load, w. The material is to be treated as elastic-perfectly plastic, with yield strength of 240 MPa, and elasticity modulus...
A square wood platform of side-length ? = 2.4 m rests on masonry walls. The deck...
A square wood platform of side-length ? = 2.4 m rests on masonry
walls. The deck of the platform is constructed of 4 cm thick planks
supported on two beams which are 2.4 m long. The beams have a width
of 100 mm and height of 150 mm and are supported at their ends by
the walls. The structure is designed to support a uniformly
distributed load, ?? (kN/m2), acting over the entire top surface of
the platform. The tensile...
Question 2 (25 marks) A square wood platform of side-length L = 2.4 m rests on...
Question 2 (25 marks) A square wood platform of side-length L = 2.4 m rests on masonry walls. The deck of the platform is constructed of 4 cm thick planks supported on two beams which are 2.4 m long. The beams have a width of 100 mm and height of 150 mm and are supported at their ends by the walls. The structure is designed to support a uniformly distributed load, wA (kN/m2), acting over the entire top surface of...
x Incorrect Two beams support a uniformly distributed load of w = 28 kN/m, as shown....
x Incorrect Two beams support a uniformly distributed load of w = 28 kN/m, as shown. Beam (1) is supported by a fixed support at A and by a simply supported beam (2) at D. In the unloaded condition, beam (1) touches, but exerts no force on, beam (2). Beam (1) has a depth of 300 mm, a moment of inertia of 11 = 125 x 106 mm, a length of L = 3.4 m, and an elastic modulus of...
3. Given a. W27X84 A992 Steel beam is simply supported over a 25' FT beam length. b. The compress...
Steel Design
3. Given a. W27X84 A992 Steel beam is simply supported over a 25' FT beam length. b. The compression flange of the beam is fully braced along the beam length. c. A uniformly distributed service dead load of 2.5 KLF. d. A uniformly distributed service live load of 3.5 KLF. e. A live load deflection limit of L/360. A dead live load deflection limit of L/240. f. Neglect the self-weight of the beam in all calculations. Determine: The...
4. The beam AC shown in Figure 4 is supported by two columns AE and BD, and carries a load P (P-50 kN). The columns hav...
4. The beam AC shown in Figure 4 is supported by two columns AE and BD, and carries a load P (P-50 kN). The columns have the same square cross section hxh, Young's modulus E 2x105 MPa. Determine the minmum dimension h of the cross section such that both columns do not fail in elastic buckling. Use the factor of safety of 1.2 against buckling. Pin connections are used for ends E, A, and B as shown in Figure 4....
7.26
Torking stress in either tension or compression is AMS. 92.8 mm x 185.6 mm o MPa. am 3 m long is simply supported at each end and carries a uniformly distributed load of 10 kN/m. The beam at rectangular cross section, 75 mm x 150 mm. Determine the magnitude and location of the peak bending ress. Also, find the magnitude of the bending stress at a point 25 mm below the upper surface at the section midway betwcen supports....
A horizontal beam AB is pin-supported at the end A and carries a uniformly distributed load with intensity 20 kN/m and a concentrated load F as shown in the figure. The beam is also supported at C by a pinned-end column: the column is restrained laterally at mid-height in the plane of the figure but it is free to deflect perpendicular to the plane of the figure. Assume the column may buckle in any direction. The column is a solid...
The beam of building structure (Fig. 3a) is made of mild steel I-section beam with 80mm deep and 60mm wide as shown in Fig. 36. The beam is bolted (simply supported) onto the girder on both side over a span of 1.0 m. The loading from deck is expected to transfer onto the beam as the form of uniform distributed load, w. The material is to be treated as elastic-perfectly plastic, with yield strength of 240 MPa, and elasticity modulus...
P10.047 (Multistep) The simply supported beam shown in the figure consists of a W410 x 60 structural steel wide-flange shape [E = 200 GPa; I = 216 x 100 mm"]. For the loading shown, determine the beam deflection at point B. Assume P = 88 kN, w = 94 kN/m, M = 162 kNm, and d= 1.5 m. .PL IIIIIIIIIIIII Part 3 Neglect the concentrated moment M and the concentrated load P and determine the deflection at B due to...
The beam of building structure (Fig. 3a) is made of mild steel I-section beam with 80mm deep and 60mm wide as shown in Fig. 36. The beam is bolted (simply supported) onto the girder on both side over a span of 1.0 m. The loading from deck is expected to transfer onto the beam as the form of uniform distributed load, w. The material is to be treated as elastic-perfectly plastic, with yield strength of 240 MPa, and elasticity modulus...
A square wood platform of side-length ? = 2.4 m rests on masonry
walls. The deck of the platform is constructed of 4 cm thick planks
supported on two beams which are 2.4 m long. The beams have a width
of 100 mm and height of 150 mm and are supported at their ends by
the walls. The structure is designed to support a uniformly
distributed load, ?? (kN/m2), acting over the entire top surface of
the platform. The tensile...
Question 2 (25 marks) A square wood platform of side-length L = 2.4 m rests on masonry walls. The deck of the platform is constructed of 4 cm thick planks supported on two beams which are 2.4 m long. The beams have a width of 100 mm and height of 150 mm and are supported at their ends by the walls. The structure is designed to support a uniformly distributed load, wA (kN/m2), acting over the entire top surface of...
x Incorrect Two beams support a uniformly distributed load of w = 28 kN/m, as shown. Beam (1) is supported by a fixed support at A and by a simply supported beam (2) at D. In the unloaded condition, beam (1) touches, but exerts no force on, beam (2). Beam (1) has a depth of 300 mm, a moment of inertia of 11 = 125 x 106 mm, a length of L = 3.4 m, and an elastic modulus of...
Steel Design
3. Given a. W27X84 A992 Steel beam is simply supported over a 25' FT beam length. b. The compression flange of the beam is fully braced along the beam length. c. A uniformly distributed service dead load of 2.5 KLF. d. A uniformly distributed service live load of 3.5 KLF. e. A live load deflection limit of L/360. A dead live load deflection limit of L/240. f. Neglect the self-weight of the beam in all calculations. Determine: The...
4. The beam AC shown in Figure 4 is supported by two columns AE and BD, and carries a load P (P-50 kN). The columns have the same square cross section hxh, Young's modulus E 2x105 MPa. Determine the minmum dimension h of the cross section such that both columns do not fail in elastic buckling. Use the factor of safety of 1.2 against buckling. Pin connections are used for ends E, A, and B as shown in Figure 4....
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