Draw the shear and bending moment diagram of the following beams using area method. Also make a
Question:
Draw the shear and bending moment diagram of the following beams using area method. Also make a summary table for the following values:
a. End reactions and moments (R left , M left ,R right , M right )
b. Maximum positive and negative bending moment and locations (measured from left end)
3) Type of span: Simply supported
Span length: 20 ft.
Beam Loadings:
• Uniformly distributed load of 20 kips/ft., acting along the entire length of the beam
• Point load (downward) 25 kips, at the left support
• Point load (downward) 50 kips, 5ft from left support
• Point load (downward) 75 kips, 10 ft. from left support
• Point load (downward) 100 kips, 15 ft. from left support
4) Type of span: Cantilever (fixed at right end)
Span length: 8m
Beam Loadings:
• Uniformly distributed load 10 k N/m along the entire span
• point load (downward) 20 kN, 4 m from the free end
• Point load (upward) 20 kN , 2 m from the fixed end
• Clockwise moment 40 kN-m at the free end
5) Type of span: Overhanging (supports are located 8 ft. from the ends)
Span length: 24 ft.
Beam loadings:
• Varying load from 0 to 60 kips/ft. acting from left end to the left support
• Uniformly distributed load 45 kips/ft. acting from left support to the right support
• Varying load from 60 kips/ft. to 0, acting from the right support to the right end