Problem 815 Find the moment at R2 and R3 of the continuous beam shown in Fig. P- 815. Solution 815 300 lb 300 lb 135 lb/ft MATHali MATHalin 4 ft R: 4 ft 4 ft' 10 ft 8 ft Rz R Figure P-815 ▾ Click here to expand or collapse this section Y 135 8 18 y = 60 lb/ft Ri 300 lb 300 lb 135 lb/ft MATHalino.com MATHаinc.com 4ft 4ft 4 ft 10 ft 8 ft R₂ Ra Moment under R3 M3 = (8y)|(8)]=-32y = -32 (60) M3 =-640 lb ft answer Solving for moment under R2 6A₁ā₁ 6A252 M1L1+2M2(L1 + L2) + M3L2 + + = 0 L1 L2 Where M₁ = 0 L₁ =3(4) 12 ft L2 = 10 ft 6A₁ā₁ Pa Στ (Ι? - ?) L₁ 6A₁ā₁ L1 12 300(4) (122-42)+ 300(8) (122 - 82) 12 6A₁ā₁ =28 800 lb ft² Li 6A252 8w,L³ 7yL³ + L2 60 60 6A252 8(135) (103) 7(60) (103) + L2 60 60 6A252 = 25 000 lb ft². L2 Thus, 6A₁ā₁ 6A252 M1L1+2M2(L1 + L2) + M3L2 + + = 0 L₁ L2 0+2M2 (12+ 10) - M2-1077.27 lb.ft 640(10) + 28 800 + 25 000 = 0 answer

Problem 815 Find the moment at R2 and R3 of the continuous beam shown in Fig. P- 815. Solution 815 300 lb 300 lb 135 lb/ft MATHali MATHalin 4 ft R: 4 ft 4 ft' 10 ft 8 ft Rz R Figure P-815 ▾ Click here to expand or collapse this section Y 135 8 18 y = 60 lb/ft Ri 300 lb 300 lb 135 lb/ft MATHalino.com MATHаinc.com 4ft 4ft 4 ft 10 ft 8 ft R₂ Ra Moment under R3 M3 = (8y)|(8)]=-32y = -32 (60) M3 =-640 lb ft answer Solving for moment under R2 6A₁ā₁ 6A252 M1L1+2M2(L1 + L2) + M3L2 + + = 0 L1 L2 Where M₁ = 0 L₁ =3(4) 12 ft L2 = 10 ft 6A₁ā₁ Pa Στ (Ι? - ?) L₁ 6A₁ā₁ L1 12 300(4) (122-42)+ 300(8) (122 - 82) 12 6A₁ā₁ =28 800 lb ft² Li 6A252 8w,L³ 7yL³ + L2 60 60 6A252 8(135) (103) 7(60) (103) + L2 60 60 6A252 = 25 000 lb ft². L2 Thus, 6A₁ā₁ 6A252 M1L1+2M2(L1 + L2) + M3L2 + + = 0 L₁ L2 0+2M2 (12+ 10) - M2-1077.27 lb.ft 640(10) + 28 800 + 25 000 = 0 answer

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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