Question

For the beam shown in Fig. 9.3, draw the shear force and bending moment diagrams. Use the area method that relies on the relationships between loading and shear force and between shear force and bending moment. Indicate the slope of the shear force diagram at locations A, B, C, and D using the load information in Fig. 9.3. Indicate the slope of the bending moment diagram at the same four locations using information from the shear force diagram. | 6 KN 4 kN/m D A B C + 2m + 2m + 2m- Figure 9.3

Answer 1

Shear force is defined as that the algebric sum vertical force from any end.

Bending moment is defined as the algeric sum of moment from any end.

Slop of shear force diagram equal to intensity of loading

Slop of bending moment diagram equal to shere force at that point.

Aus Eiven that ON ukH/ shear force diagran If at ( 8K* SF at. B = 8 KN RAS 14KN LAS sr at = UKM TUCH AB C D Bending moment dicegearn to the pection Icon shear solce - vestical facce - ала оиск Bending moment - moment to the section from any end C 8 Km curve due Parabolic to ude 24 tu 52km

Ilope d shear force to seete of lading chiagram is equal at that point. wherer to plop loading do slup at ho es dr de UTCA 6 slop at B = tano - tangoes ② slop at A - tono = tan o o Clope of Bending moment dlagear es equat to take & shear force slop ad v de sop at D o because ghea slop at c= 8 KN ka ZONO slop at B = 8KN right side & TLKH eft section side of section glop at A = 52KN