Question

problem 1,2

Use the method of superposition to solve the following four problems: 1. The 9 m long cantilever beam shown below is fixed at the left end and supports a 70 kN point load at the free end (Point C) and a 300 kN-m "point couple" (clockwise) at Point B. You must use the method of superposition (along with the appropriate formulas from inside the front cover of your textbook, or from the class handout) to determine the slope at Point C (Oc), the deflection at Point C (Ac), and the deflection at Point B (AB). The cantilever beam has the following properties: E= 200 GPa and I = 5650x10 mm TOWN 300 am FIXLD 2. The 16 ft long simply-supported beam shown below supports a 40 kips load at Point C and a 1.5 kiff uniformly distributed load on the 6 ft long region between Pin A and Point B. You must use the method of superposition (along with the appropriate formulas from inside the front cover of your textbook, or from the class handout) to determine the slope at Point A (OA) and the deflection at midspan (A at x = 8 f). The beam has the following properties: E= 1500 ksi and I = 20,000 in 1.5 YET Lob + 5 + 5

Answer 1

300KNM 1구0KN AH Sm m IS650X106mm EE 2000Pa By method supespostion 200h + A Sm M 300K No emp C. Sm 630m mohr L heovom AlC Anea g RMD (Rerding momnt agran) EJ 2X620X 9 300xS + EL ES 4385 2835 1 EJ ES Er R 3.836x1ore 4235 2 00 Xo6x S6s0 X106 hadiais Oc 3.836 X10-2 Alc to mehe theorem A r Ac 2 Er Ac 300xsx(4+2-5) Ep alatl ES 26760 9750 t ES ET .023 68m 26 76 6 OcE 20ox106 x550X104 ACe 22.69 mm

300YNN Sm 4m 2MD 1 9. 80 A Sm 350KNm ayesction at pont 8 thiorom for dng phe to mohri) Alc AT Es 280x5x2-5 + 35oxsx Ag 200 XSX 2-5 + Ed Et En 2500 t EI 2416-67 tt.99101 ES 10166067 Ses0x1 200x166 2-997 x10m z 6.997 nm