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

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter8: Engineering Materials

Section: Chapter Questions

Problem 85CQ

See similar textbooks

Similar questions

A beam is part of the framing system for the floor of an office building. The floor is subjected to both dead loads and live loads. The maximum moment caused by the service dead load is 45 ft-kips, and the maximum moment for the service live load is 63 ft-kips (these moments occur at the same location on the beam and can therefore be combined). a. If load and resistance factor design is used, determine the maximum factored bending moment (required moment strength). What is the controlling AISC load combination? b. What is the required nominal moment strength for a resistance factor of 0.90? c. If allowable strength design is used, determine the required moment strength. What is the controlling AISC lead combination? d. What is the required nominal moment strength for a safety factor of 1.67?
Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine the increase in vertical stress at point A located z = 15 ft below the surface. Given: x = 27 ft. Figure P6.4
For the beam shown: (a) determine the distance a for which the maximum positive and negative bending moments in the beam are equal; and (b) draw the corresponding shear and bending moment diagrams for the beam.
Direction: Circle T to indicate true statements or F to indicate false statements. Copper is not a conductor of electricity because only materials that are magnetic can conduct electricity.