Question

Problem 1: A 50cm long beam having a square cross-section of 2cm x 3em iwidth x height is subjected a force P-1 KN acting in compression along the beam axis, and forces P 400 N, P-600 N, acting perpendicular to the length of the beam. a. Calculate the stresses at points A.B & C with coordinate locations A (O.I.5.0). B(o.-1.5-1). and C (0.0,0) b. Express the 3-D stress state at each point as a stress tensor (matrix) representation and denote the stresses graphically on an elemental rectangular elemental volume tiken at each point. c. Calculate the values of the principal stresses at points A and B d. Find the direction of the plane on which the maximum value of the principal stress acts fat point C).

Answer 1

Given data Cs - 50cm Cooss section 는 2cm x 3cm 40o N (ktU Socm Pa ヲGulculating te beding Stess due to-B

ウa kataling 6 bending cross dueto 003 (0.02)3 66.67-141 → Calculanng stuss at Blo-ISI) → altulatina goss at C(0.0.0) 66 MPa

3 at A (0, l、5.0) : 165 00 丁i O 00 丿 91-66 จ 00 0 At C(00,0) 1-66 o dc