Question

A system of bars is loaded by torqes as shown. Determine:

a) the shear stress in each bar.

b) the twist of pont D with respect to point a. Assume that all three bars have a modulus of rigidity of 11,500 ksi.

External Torques:

T1 = 575 (lb-in.)

T2 = 500 (lb-in.)

T3 = 1100 (lb-in.)

Shear Stress:

The shear stress in bar AB is _____ (psi)

The shear stress in bar BC is ______ (psi)

The shear stress in bar CD is _____(psi)

Angle of twist:

The angle of twist in bar AB is _____ (radians)

The angle of twist in bar BC is ______ (radians)

The angle of twist in bar CD is _____(radians)

The angle of twist of point D with respect to point a is _____(radians).

A B С D Outside Diam = 3 in. Outside Diam = 2 in. Outside Diam = 1.5 in. T2 T1 Tz 30 in. 18 in. 12 in.

can someone help me with this civil engineering problem?

Answer 1

I d9 A B J- 32 D Outside Diam = 3 in. Outside Diam = 2 in. Outside Diam = 1.5 in. TO TE T2 Ti J TL GJ Tz da 30 in. 18 in. 12 in. O AS TAB= 575 + 500+ 1100 = 2175 lb-in sheen stress TAB= TABY Id4 32 2175x15 1/32X (3) 410.266 psi 2175 X 30 ABS TAOL 11 0.713 5 x 10 x 10 3 rool 5 (1500 x163x2x32 32 for Be TBC = 575 +500 =1075 Ibin 1075 x 1 TBC r 684.366 psi sheen stress TBC Id4 7 / 32X (2)" 32 Фас TBCL 611 1.7012810-3 rond = 1075 X 18 (1500X[03* 1x24 ♡ 32 for Co Too 575 ebrin = Toor 575x(150) 867-68928i Sheen stress tco = - Id4 32 7/32X (1.574 dcp TOL GJ 1.2072 x 103 raid 575 X 12 (1500X183x 32 7X1.54 -3 &o= QAB+QBC +0CD o. H35 X 10 3 + 1.7012810 +1.7012 X 10^3 + 1.2072x10 N to= 3-622 x103 rad