Problem Two: Consider the cross-sectional shown in the figure below. The cross-section is reinforced with 3 bars 30M as shown. 1. Calculate the cracking moment using the exact moment of inertia. 2. Calculate the stresses in the concrete and steel when the moment is 0.75Mcr. 3. Ignoring the self-weight calculate the stresses in the concrete and steel when the applied load is P=30 kN. 4. A beam with a cross-section shown in the figure below spans 4 m and is subjected to a concentrated load, P, at mid-span (see figure). Considering the self-weight, calculate the minimum load, Pmin, that induces cracking. Use fc=30 MPa, Es=200 000 MPa, fy=400 MP, y=2400 kg/m3. The area of one 30M is 700 mm2. 500 L/2 L/2 440 3 # 30 300 mm

Problem Two: Consider the cross-sectional shown in the figure below. The cross-section is reinforced with 3 bars 30M as shown. 1. Calculate the cracking moment using the exact moment of inertia. 2. Calculate the stresses in the concrete and steel when the moment is 0.75Mcr. 3. Ignoring the self-weight calculate the stresses in the concrete and steel when the applied load is P=30 kN. 4. A beam with a cross-section shown in the figure below spans 4 m and is subjected to a concentrated load, P, at mid-span (see figure). Considering the self-weight, calculate the minimum load, Pmin, that induces cracking. Use fc=30 MPa, Es=200 000 MPa, fy=400 MP, y=2400 kg/m3. The area of one 30M is 700 mm2. 500 L/2 L/2 440 3 # 30 300 mm

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter12: Composite Materials

Section: Chapter Questions

Problem 12.7P: Estimate the transverse tensile strength of the concrete in Problem 12.6.

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Question

Please solve only part 1 also draw free body diagram

Problem Two:
Consider the cross-sectional shown in the figure below. The cross-section is reinforced with 3 bars 30M as shown.
1. Calculate the cracking moment using the exact moment of inertia.
2. Calculate the stresses in the concrete and steel when the moment is 0.75Mcr.
3. Ignoring the self-weight calculate the stresses in the concrete and steel when the applied load is P=30 kN.
4. A beam with a cross-section shown in the figure below spans 4 m and is subjected to a concentrated load, P,
at mid-span (see figure). Considering the self-weight, calculate the minimum load, Pmin, that induces
cracking.
Use fc=30 MPa, Es=200 000 MPa, fy-400 MP, y=2400 kg/m3. The area of one 30M is 700 mm?.
500
L/2
L/2
440
3 # 30
300 mm

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