Problem 7.163 1500 lb/ft For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the magnitude and location of the maximum absolute value of the bending moment. A B C 6000 lb 4 ft 6 ft

Solving Problems on Your Own 1500 lb/ft Solving Problems on Your Own A B For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the magnitude and location of the maximum absolute value of the bending moment. C 6000 lb 4 ft 6 ft 1. Draw a free-body diagram for the entire beam, and use it to determine the reactions at the beam supports. 2. Draw the shear diagram. 3. Draw the bending-moment diagram by computing the area under each portion of the shear curve.

S MA = 0 : (6 kips)(10 ft) - (9 kips)(7 ft) + B (4 ft) = 0 Problem 7.163 Solution 3 ft 9 kips Draw a free-body diagram for the entire beam, and use it to determine the reactions at the beam supports. C B A 4 ft 6 ft 6 kips S MA = 0 : (6 kips)(10 ft) - (9 kips)(7 ft) + B (4 ft) = 0 B = 0.75 kips + + S Fy = 0 : A + 0.75 kips + 6 kips - 9 kips = 0 A = 2.25 kips

Draw the shear diagram. V (kips) x VB 3 kips BD = = w 1.5 kips/ft Problem 7.163 Solution 1.5 kips/ft A B C 2.25 kips 0.75 kips 6 kips 4 ft 6 ft V (kips) + 3 kip D + 2.25 kip x A B C VB w 3 kips 1.5 kips/ft BD = = - 6 kip 2 ft 4 ft

Draw the bending-moment diagram. Problem 7.163 Solution 1.5 kips/ft A B C 2.25 kips 0.75 kips 6 kips 4 ft 6 ft V (kips) + 3 kip 1 2 (3 kips)(2 ft) = (+3 kip-ft) + 2.25 kip (+9 kip-ft) D x A B C (- 12 kip-ft) VB w 3 kips 1.5 kips/ft BD = = - 6 kip 2 ft 4 ft (+12 kip-ft) Mmax = 12 kip-ft (+9 kip-ft) M (kip-ft) 6 ft from A x A B D C