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HW4Solution

# HW4Solution - Problem41 V_u= b_w= d= f_c= f_y= 9000 12 7.25...

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Problem 4 1 V_u= 9000 lb b_w= 12 in d= 7.25 in f_c= 3000 psi f_y= 60000 psi V_c=2*Squr(f_c)*b_w*d = 9530.373 lb V_s=A_v/s*f_y*d= 0 lb V_n=V_c+V_s= 9530.373 lb V_n= 7147.779 lb  0.75 Because V_n < V_u, the beam is not satisfactory for shear

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Problem 4 4 Beam Span L= 30 ft 360 in Live load _L= 1.9 kips/ft 158.3333 lb/in Dead load _D= 0.7 kips/ft 58.33333 lb/in Concentrated Dead load F_D= 8 kips 8000 lb b= 15 in d= 25.4 in f_c= 4000 psi f_y= 60000 psi V_c = 2*SQRT(f_c)*b_w*d= 48193 lb _u = 1.2 _D + 1.6 _L = 323 lb/in _ _ _ V_u caused by _u x(in) 0 60 180 300 360 V_u(k) 58.2 38.8 0 38.8 58 F_u = 1.2*F_D = 9600 lb V_u caused by F_u x(in) 0 60 180 300 360 V_u(k) 10 10 0 10 10 x(in) 0 60 180 300 360 V_u(k) 68 48 0 48 68 For s= 8 in V_s = A_v/s*f_y*d = 41910 lb V_u = V_c + V_s = 90103 lb V_u = 67577 lb  0.75 For s= 10 in V s = A v/s*f y*d = 33528 lb V_s A_v/s f_y d V_u = V_c + V_s = 81721 lb V_u = 61291 lb  0.75 For s= 12 in V_s = A_v/s*f_y*d = 27940 lb V_u = V_c + V_s = 76133 lb V u = 57100 lb  0.75 V_u n 1 5 4 8 x (in) 2 42 82 178 182 278 318 358

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