Question

windiow Problem set-Module 4-summer20171.pdf (page 1 of 5) A TCM 2235 Problem Set for Module #4 10 lb. 10 lb. Given the following beam under loading: 7 a) Use the equilibrium approach to cut the beam and the places shown. Use this information to neatly draw the shear and moment diagram. Clearly identify the min and max values. V M 1une 20 (11-58 pm) noevceptions. MacBook Pro

Answer 1

10 Ub 10 Lb D '0 5/t 5A 5ft Support reachions

Lo Lb 5JH 5 Ft VA VD Equilibrium equatons: Z FH Z Fy 0. t VA +VD10- to = 0 20 D ΣMp VA 15-1oxlo -loxs = 0. > lo o >VA

From cquathion we V Now Let ws consider the cut se ctions to force deter mine. shear nding and moment. AB (sechon -a Fos spam M 10KN Equi ibrim equatioms Σ . O. V lo-V O. V = = 0. - M 0. 1o M lo . imit f o to 5 tt. Now, When 0 ; lo x 0 O

when 1o* 5-50 L r M - For BC (sechon 2-2): spam M 5 ft 10 Lb Equilibrim equations =0. V lo-lo V = 0. ΣΜ., O Y 10(R-5) -M 0. Lo 10 +50 M 50 LL-f Here ircepective f he. valme, M50 -fr. ie, at n 5 M 50 at 10 ; M 50

Fos span cD( sechion 3-3) 1T lo Equilibrium aquahms Lo 1o- lo - V = 0. - lo V Σ My NO lo -5) Lo (-10)-M =0. Lo n-1n +50-lo + 1oo -M 0 M 150 Here. imi of is 10 to A 5 lo f .at -15 t M af 1so w

Shear force dingram 10 10 +ve D . B Ve -|0 - Lo Bending Moment Diagrom 50 50 B A