Question

A prismatic beam with span L = 3 ft is simply supported at points A and B. The beam is supporting a uniform load with q = 160 lb/in . The cross-section of the beam is a solid rectangle with width b = 1 in and height h = 4 in .

Determine:

a. The normal stress (σ C ) and shear stress (τ C ) at point C located 8 inches left of support B and 1 in. below the top of the beam.

b. The principle stress orientation (θ ) with respect to the longitudinal axis of an element located at point C for the state of stress determine in Part a.

c. What is the magnitude of the shear stress in the principle orientation?

A prismatic beam with span L 3 ft is simply supported at points A and B. The beam is supporting a uniform load with q= 160 lbin. The cross-section of the beam is a solid rectangle with width b-1 in and height h-4 in Determine: a. The nor mal stress (%) and shear stress (tc ) at point C located 8 inches left of support B and 1 in. below the top of the beam. b. The principle stress orientation (θ) with respect to the longitudinal axis of an element located at point C for the state of stress determine in Part a C. What is the magnitude of the shear stress in the principle orientation? 160 lb/in. 8 in.

Answer 1

9160 b 3別, Due to Smne 160x 36 RA 2880b กา 230G5lo 17920 Jbh3 (42 in 5-33 s distance 170/ to C 5 33

A aua eiter above r beloud th poin 3 ) =3.5 in 600 b (6a (35 5.33) ( 1050.6 16 in 1

(c), In principal ovi e nkti , en Suu mm o v 336 ivn2 て( = 1050 , 6 21 Onenkh)