SHOW YOUR SOLUTIONS PLS INSTRUCTIONS: A beam having a tee-shaped cross section is subjected to equal 18 kN-m bending moments, as shown. Assume bf = 125 mm, tf = 25 mm, d = 185 mm, tw = 20 mm. The cross-sectional dimensions of the beam are also shown. Use these information to answer questions 1-5.   QUESTIONS: 1) Determine  the centroid location (measured upward from the bottom), in mm rounded to the nearest tenths. 2) With reference to problem 2, determine  the moment of inertia about the z axis. Express your answer in (106) mm4 rounded to three significant figures. 3) With reference to problem 2, determine  the controlling section modulus about the z axis. Express your answer in (103) mm3 rounded to three significant figures. 4) With reference to problem 2, determine  the bending stress at point H (positive if tensile and negative if compressive). Express your answer in MPa rounded to the nearest hundredths. 5) With reference to problem 2, determine the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section. Express your answer in MPa rounded to the nearest tenths.

SHOW YOUR SOLUTIONS PLS

INSTRUCTIONS:

A beam having a tee-shaped cross section is subjected to equal 18 kN-m bending moments, as shown. Assume b_f = 125 mm, t_f = 25 mm, d = 185 mm, t_w = 20 mm. The cross-sectional dimensions of the beam are also shown.

Use these information to answer questions 1-5.

QUESTIONS:

1) Determine  the centroid location (measured upward from the bottom), in mm rounded to the nearest tenths.

2) With reference to problem 2, determine  the moment of inertia about the z axis. Express your answer in (10⁶) mm⁴ rounded to three significant figures.

3) With reference to problem 2, determine  the controlling section modulus about the z axis. Express your answer in (10³) mm³ rounded to three significant figures.

4) With reference to problem 2, determine  the bending stress at point H (positive if tensile and negative if compressive). Express your answer in MPa rounded to the nearest hundredths.

5) With reference to problem 2, determine the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section. Express your answer in MPa rounded to the nearest tenths.