Question

1. (21 Points) The rod ABCD is made of steel material with $E = 210 \text{ GPa}$. Knowing that $F_1 = 20 \text{kN}$, $F_2 = 35 \text{kN}$, $F_3 = 35 \text{kN}$, $l_1 = l_3 = 300 \text{mm}$, $l_2 = 400 \text{mm}$, $d_1 = 12 \text{mm}$, $d_2 = 16 \text{mm}$, $d_3 = 24 \text{mm}$. (a) Determine the internal axial forces for sections I, II, and III. (b) Determine the maximum normal stress $\sigma_{max}$ of the rod (c) Determine the elongation of the whole rod AD.

          1. (21 Points) The rod ABCD is made of steel material with $E = 210 \text{ GPa}$. Knowing that
$F_1 = 20 \text{kN}$, $F_2 = 35 \text{kN}$, $F_3 = 35 \text{kN}$, $l_1 = l_3 = 300 \text{mm}$, $l_2 = 400 \text{mm}$, $d_1 = 12 \text{mm}$, $d_2 = 16 \text{mm}$, $d_3 = 24 \text{mm}$.
(a) Determine the internal axial forces for sections I, II, and III.
(b) Determine the maximum normal stress $\sigma_{max}$ of the rod
(c) Determine the elongation of the whole rod AD.

1. (21 Points) The rod ABCD is made of steel material with E = 210 GPa. Knowing that
F1 = 20 kN, F2 = 35 kN, F3 = 35 kN, l1 = l3 = 300 mm, l2 = 400 mm, d1 = 12 mm, d2 = 16 mm, d3 = 24 mm.
(a) Determine the internal axial forces for sections I, II, and III.
(b) Determine the maximum normal stress σmax of the rod
(c) Determine the elongation of the whole rod AD.

Added by Felipe K.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Nishant Kumar

Step 1

For section I, the cross-sectional area can be calculated using the formula for the area of a circle: A1 = π * (d1/2)^2 Substituting the given values, we have: A1 = π * (12/2)^2 = 113.097 mm^2 Using the equation F = A * σ, we can solve for σ1: σ1 = F1 / A1 = Show more…

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(21 Points) The rod ABCD is made of steel material with E = 210 GPa. Knowing that F = 20 kN, F2 = 35 kN, F3 = 35 kN, l1 = 300 mm, l2 = 400 mm, d1 = 12 mm, d2 = 16 mm, d3 = 24 mm, (a) Determine the internal axial forces for sections I, II, and III. (b) Determine the maximum normal stress Ïƒmax of the rod. (c) Determine the elongation of the whole rod AD.