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DOC008 - \wupiv “avg Naine lg Seat Number[1L 3 Problem 1...

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Unformatted text preview: . \wupiv “avg Naine lg Seat Number [1L 3 Problem 1) Draw shear and bending moment diagrams for the following beam. Use W1 = W2 == 4 kips/foot, M = 20 kip feet, L1 = 6 ft, L2 = 12 feet, L3 = 8 feet, and L4 = 5 ft. . LK/Fr . w2‘i 4.85 W in 1111111111111 i Q R] R2 (0; \‘L 8 5 L1 L2 A L3 L4 Problem 2) For the beam shown below, there are two steel plates located on the top and bottom of a concrete beam. The two steel plates are 1 inch thick and 10 inches Wide, whereas the concrete beam is 8 inches Wide and 18 inches deep. E for the steel is 30,000 ksi and E for the concrete is 10,000 ksi. a) Determine the maximum bending moment that can be placed on the beam if the allowable stress in the steel is 10 ksi. b) At that moment, What is the maximum stress in the concrete? Problem 3) A cantilever beam made of 2 inch by 12 \N inch timbers (shown ‘at right) is leaded with a 10 kip concentrated load as shown. a) Determine the shear stress at the glue line if glue is used to connect the two 5 2”x12” timbers. b) Also, determine how strong a nail O would have to be in shear if I wanted to replace the glue with nails. The nails are to be spaced at 2 inch intervals between the nails. a) f; 2 it Name Seat Numberfim— Problem 1) Draw shear and bending moment diagrams for the following beam. Use W1 = W2 = 6 kips/foot, M = 20 kip ft, L1 = 6 ft, L2 = 12 feet, L3 = 8 feet, and L4 = 6 ft. M tutti“ R1 w2 R2 Ll L2 L3 L4 Problem 2) For the beam shown below, there are two steel plates located on the top and bottom of a wooden beam. The two steel plates are 1/2 inch thick and 8 inches wide, whereas the wood beam is 6 inches wide and 12 inches deep. E for the steel is 30,000 ksi and E for the wood is 5,000 ksi. a) Determine the maximum bending moment that can be placed on the beam if the allowable stress in the steel is 20 ksi. b) At that moment, what is the maximum stress in the wood? WON / Problem 3) A cantilever beam made of 2 inch by 14 inch timbers (shown at right) is loaded with a-20 kip H m m n _ concentrated load as shown. a) Determine the shear é stress at the glue line if glue is used to connect the two 0 2”xl4” timbers. b) Also,” determine how strong a nail ; would have to be in shear if I wanted to replace the glue with nails. The nails are to be spaced at 2 inch intervals between the nails. {ZN/(22’: é7<Iz+ GCX6: Ciok l 55 iMA: &O+72xé+18X2L,v20K2’/o 07-» R1? 44% if 493“ 4mg, Q “C2 V9 : LE0}???le _' A, IN 2.x (J5~17):1\11fl M w (562-672(2 '5 ...~ _/ _../ y : 2xqu15+ 2xqu7 ZXLx)? ___.—o J : w 2x 1213+ Q.ng ____.__...—_— 12. + 2xm>«(n~7)7" 2.. + 2x (9)4640 1362-67 m4 _____—————.p ) 9-» a ¢.——- kg? gheflg'm) ...
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