Question

Problem 1: A beam with a rectangular cross section is loaded as shown in the figure. The cross section of the beam is 3 mm wide and 8 mm high. a) Calculate the reaction forces R and R, (5 200 N 500 N pts) b) Using the singularity functions write out A в со the load intensity g(x) and obtain the shear V(x) and Moment M(x) equations by R 1100 N integrating g(x). (5 pts). 10 mm 10 mm 10 mm 10 mm c) Use V(x) obtained in part b to compute the numerical values of V(x) in each section (AB, BC, CD and DE) to draw the shear diagram (10 pts). d) Use M(x) obtained in part b to compute the numerical values of M(x) in each section (AB, BC, CD and DE) to draw the moment diagram. (10 pts). 3 mm

Answer 1

Given beam is al take moments about À 200 lo 10 10 10 500N R ICON +100 X30 - 200X10-500X40 =0 » R2 = 950 NCA Sty=0 ) Retre +100 = 200+500 = Rp = -380 N (dow onwards). 500N LOON A B C JE SED 3SON SSON 3 ср Е TO -ve i zo BMD 3300 NMN 1 5000N.mm 9000 Numm

- 350 - 350-200 ock <10 10< x < 20 20 < X < 30 30 SX540 NAVU = -350-2007950 -350-20049501100 VCR) = q - 350 N - 550 N 400 N 500 N 0 < x <! 10 5 X < 20 20 EX 430 30 sx = 40 -3501 0 <x <10 - 350L-200X (1-10) 1051520 -3502-2008 (-10) + 950X(1-20) 20 <1330 1-350X - 300X(4-16)+950X(X-20)+10006-30) 30 SX 230. Sagging → tue Bending moment Hoggme - ve bendmg momen.
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