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DESIGN DESCRIPTION To construct a warehouse, the frame system shown in Figure 1 has been adopted. As an engineer, your task is to analyse the mid frame, highlighted in RED. Column 3 Column 1 Beam 1 Columb 2 Slab 1 Beam 1 Slab 2 Beam 2 Beam 3 Column 2 5 m 5 m 5 m Column 3 Column 1 8 m (a) Transfer of self-weight of Slabs 1 and 2 to surrounding beams (simplified case) Beam 1 Figure 1 A warehouse frame system The detailed information of the structural components is provided as follows: Slabs 1 and 2 are made of in-situ cast reinforced concrete and have a thickness of 150 mm (Figure 2). For simplicity, we assume that half the weight of each slab is transferred to Beam 1 (as shown in Figure 2). In addition, a water tank full of water with a weight of 1042 kg (1000 L of water plus weight of the tank) will be installed in the middle of Beam 1 (Figure 2). All the beams are made of reinforced concrete and have a standard size of 225 mm x 600 mm. Note that the density of reinforced concrete is 2500 kg/m³. Half of slab 1 Half of slab 2 (b) Transfer of self-weight of Slabs 1 and 2 to Beam 1 Figure 2 Load transfer from slabs to beams in the warehouse frame system A Beam 1 8 m 600 mm 5 m 125 mm 225 mm Beam cross section Column cross section C Column 1 D Column 2 Figure 3 The middle frame Consider that Column 1 will experience the vertical reaction force at the left end of Beam 1. It will also receive concentrated loads from Beams 2 and 3, amounting to a total of 118 kN. Determine the maximum compressive stress, the deflection of the column and the buckling behaviour of Column 1. Note that Column 1 has dimensions of 125 mm ×125 mm and a modulus of elasticity of 13 GPa, and is fixed at the bottom. Please also note that the self-weight of Column 1 is ignored.

DESIGN DESCRIPTION To construct a warehouse, the frame system shown in Figure 1 has been adopted. As an engineer, your task is to analyse the mid frame, highlighted in RED. Column 3 Column 1 Beam 1 Columb 2 Slab 1 Beam 1 Slab 2 Beam 2 Beam 3 Column 2 5 m 5 m 5 m Column 3 Column 1 8 m (a) Transfer of self-weight of Slabs 1 and 2 to surrounding beams (simplified case) Beam 1 Figure 1 A warehouse frame system The detailed information of the structural components is provided as follows: Slabs 1 and 2 are made of in-situ cast reinforced concrete and have a thickness of 150 mm (Figure 2). For simplicity, we assume that half the weight of each slab is transferred to Beam 1 (as shown in Figure 2). In addition, a water tank full of water with a weight of 1042 kg (1000 L of water plus weight of the tank) will be installed in the middle of Beam 1 (Figure 2). All the beams are made of reinforced concrete and have a standard size of 225 mm x 600 mm. Note that the density of reinforced concrete is 2500 kg/m³. Half of slab 1 Half of slab 2 (b) Transfer of self-weight of Slabs 1 and 2 to Beam 1 Figure 2 Load transfer from slabs to beams in the warehouse frame system A Beam 1 8 m 600 mm 5 m 125 mm 225 mm Beam cross section Column cross section C Column 1 D Column 2 Figure 3 The middle frame Consider that Column 1 will experience the vertical reaction force at the left end of Beam 1. It will also receive concentrated loads from Beams 2 and 3, amounting to a total of 118 kN. Determine the maximum compressive stress, the deflection of the column and the buckling behaviour of Column 1. Note that Column 1 has dimensions of 125 mm ×125 mm and a modulus of elasticity of 13 GPa, and is fixed at the bottom. Please also note that the self-weight of Column 1 is ignored.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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DESIGN DESCRIPTION To construct a warehouse, the frame system shown in Figure 1 has been adopted. As an engineer, your task is to analyse the mid frame, highlighted in RED. Column 3 Column 1 Beam 1 Columb 2 Slab 1 Beam 1 Slab 2 Beam 2 Beam 3 Column 2 5 m 5 m 5 m Column 3 Column 1 8 m (a) Transfer of self-weight of Slabs 1 and 2 to surrounding beams (simplified case) Beam 1 Figure 1 A warehouse frame system The detailed information of the structural components is provided as follows: Slabs 1 and 2 are made of in-situ cast reinforced concrete and have a thickness of 150 mm (Figure 2). For simplicity, we assume that half the weight of each slab is transferred to Beam 1 (as shown in Figure 2). In addition, a water tank full of water with a weight of 1042 kg (1000 L of water plus weight of the tank) will be installed in the middle of Beam 1 (Figure 2). All the beams are made of reinforced concrete and have a standard size of 225 mm x 600 mm. Note that the density of reinforced concrete is 2500 kg/m³. Half of slab 1 Half of slab 2 (b) Transfer of self-weight of Slabs 1 and 2 to Beam 1 Figure 2 Load transfer from slabs to beams in the warehouse frame system A Beam 1 8 m 600 mm 5 m 125 mm 225 mm Beam cross section Column cross section C Column 1 D Column 2 Figure 3 The middle frame
Transcribed Image Text:DESIGN DESCRIPTION To construct a warehouse, the frame system shown in Figure 1 has been adopted. As an engineer, your task is to analyse the mid frame, highlighted in RED. Column 3 Column 1 Beam 1 Columb 2 Slab 1 Beam 1 Slab 2 Beam 2 Beam 3 Column 2 5 m 5 m 5 m Column 3 Column 1 8 m (a) Transfer of self-weight of Slabs 1 and 2 to surrounding beams (simplified case) Beam 1 Figure 1 A warehouse frame system The detailed information of the structural components is provided as follows: Slabs 1 and 2 are made of in-situ cast reinforced concrete and have a thickness of 150 mm (Figure 2). For simplicity, we assume that half the weight of each slab is transferred to Beam 1 (as shown in Figure 2). In addition, a water tank full of water with a weight of 1042 kg (1000 L of water plus weight of the tank) will be installed in the middle of Beam 1 (Figure 2). All the beams are made of reinforced concrete and have a standard size of 225 mm x 600 mm. Note that the density of reinforced concrete is 2500 kg/m³. Half of slab 1 Half of slab 2 (b) Transfer of self-weight of Slabs 1 and 2 to Beam 1 Figure 2 Load transfer from slabs to beams in the warehouse frame system A Beam 1 8 m 600 mm 5 m 125 mm 225 mm Beam cross section Column cross section C Column 1 D Column 2 Figure 3 The middle frame
Consider that Column 1 will experience the vertical reaction force at the left end of Beam 1. It will also receive concentrated loads from Beams 2 and 3, amounting to a total of 118 kN. Determine the maximum compressive stress, the deflection of the column and the buckling behaviour of Column 1. Note that Column 1 has dimensions of 125 mm ×125 mm and a modulus of elasticity of 13 GPa, and is fixed at the bottom. Please also note that the self-weight of Column 1 is ignored.
Transcribed Image Text:Consider that Column 1 will experience the vertical reaction force at the left end of Beam 1. It will also receive concentrated loads from Beams 2 and 3, amounting to a total of 118 kN. Determine the maximum compressive stress, the deflection of the column and the buckling behaviour of Column 1. Note that Column 1 has dimensions of 125 mm ×125 mm and a modulus of elasticity of 13 GPa, and is fixed at the bottom. Please also note that the self-weight of Column 1 is ignored.
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