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Prob. 6.4-6. (a) A glued, laminated (glulam) beam is made by gluing together n planks of width b and thickness 1, as illustrated in Fig. P6.4-6a. Derive a formula that relates the value of the section modulus S to the number of planks used to make the beam. Assume that the thickness of each glue layer is negligible and that the laminated beam behaves like an ordinary wood beam. (b) A simply supported glulam beam of width b = 200 mm and length L = 5 m supports a concentrated load P = 9 kN at its center, as shown in Fig. P6.4-6b. The magnitude of the allowable stress of the wood in tension or compression is allow = 6 MPa. Determine the number of planks of thickness r = 50 mm required for the lightest glulam timber beam that can be used for this appli- cation. 22 nt 22

Prob. 6.4-6. (a) A glued, laminated (glulam) beam is made by gluing together n planks of width b and thickness 1, as illustrated in Fig. P6.4-6a. Derive a formula that relates the value of the section modulus S to the number of planks used to make the beam. Assume that the thickness of each glue layer is negligible and that the laminated beam behaves like an ordinary wood beam. (b) A simply supported glulam beam of width b = 200 mm and length L = 5 m supports a concentrated load P = 9 kN at its center, as shown in Fig. P6.4-6b. The magnitude of the allowable stress of the wood in tension or compression is allow = 6 MPa. Determine the number of planks of thickness r = 50 mm required for the lightest glulam timber beam that can be used for this appli- cation. 22 nt 22

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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This a mechanics of material question please show all steps so your approach is easily followed. Please show Free body diagram, what is given, and what the problem is asking for. Thank you
"Prob. 6.4-6. (a) A glued, laminated (glulam) beam is made by gluing together n planks of width b and thickness 1, as illustrated in Fig. P6.4-6a. Derive a formula that relates the value of the section modulus S to the number of planks used to make the beam. Assume that the thickness of each glue layer is negligible and that the laminated beam behaves like an ordinary wood beam. (b) A simply supported glulam beam of width b = 200 mm and length L = 5 m supports a concentrated load P = 9 kN at its center, as shown in Fig. P6.4-6b. The magnitude of the allowable stress of the wood in tension or compression is allow = 6 MPa. Determine the number of planks of thickness [ = 50 mm required for the lightest glulam timber beam that can be used for this appli- cation. - b (a) 27 nt (b)
Transcribed Image Text:"Prob. 6.4-6. (a) A glued, laminated (glulam) beam is made by gluing together n planks of width b and thickness 1, as illustrated in Fig. P6.4-6a. Derive a formula that relates the value of the section modulus S to the number of planks used to make the beam. Assume that the thickness of each glue layer is negligible and that the laminated beam behaves like an ordinary wood beam. (b) A simply supported glulam beam of width b = 200 mm and length L = 5 m supports a concentrated load P = 9 kN at its center, as shown in Fig. P6.4-6b. The magnitude of the allowable stress of the wood in tension or compression is allow = 6 MPa. Determine the number of planks of thickness [ = 50 mm required for the lightest glulam timber beam that can be used for this appli- cation. - b (a) 27 nt (b)
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