Question
An A572 steel beam has a modulus of elasticity of 28,150 ksi and a Poisson's ratio of 0.26. It is known that the beam is embedded in one of its supports and free in its second support. Furthermore, a horizontal axial compressive stress of -235 MPa is known. a) Determine the magnitude(s) necessary in Y so that the unitary deformation of the beam does not exceed a value of 2 x 10⁻⁴ in this direction.
190
likes950 views
Answer to a math question An A572 steel beam has a modulus of elasticity of 28,150 ksi and a Poisson's ratio of 0.26. It is known that the beam is embedded in one of its supports and free in its second support. Furthermore, a horizontal axial compressive stress of -235 MPa is known. a) Determine the magnitude(s) necessary in Y so that the unitary deformation of the beam does not exceed a value of 2 x 10⁻⁴ in this direction.
Sigrid
4.5111 Answers
1. **Given Data:**
-E = 28,150 \text{ ksi}
-\nu = 0.26
-\sigma_x = -235 \text{ MPa}
-\epsilon_y = 2 \times 10^{-4}
2. **Convert Units:**
-E \approx 194,030.75 \text{ MPa}
3. **Calculate Poisson's Effect:**
-\epsilon_y = -0.26 \times \frac{-235}{194,030.75} \approx 0.000315
4. **Calculate Additional Strain:**
-2 \times 10^{-4} = 0.000315 + \epsilon_y (applied)
-\epsilon_y (applied) = -0.000115
5. **Calculate Additional Stress:**
-\sigma_y (applied) = 194,030.75 \times (-0.000115)
-\sigma_y (applied) \approx -22.31 \text{ MPa}
-
-
-
-
2. **Convert Units:**
-
3. **Calculate Poisson's Effect:**
-
4. **Calculate Additional Strain:**
-
-
5. **Calculate Additional Stress:**
-
-
Frequently asked questions (FAQs)
What is the average number of books read by 30 students in a month, if the data shows the following: 10 students read 2 books, 15 students read 4 books, and 5 students read 6 books?
+
Math question: What is the factored form of the quadratic expression 4x^2 + 8x + 3?
+
What are the components of a unit vector in the direction of vector v = 3i + 4j - 2k?
+
New questions in Mathematics