CE383 2009fall_HW5

# CE383 2009fall_HW5 - 2 Using the direct stiffness method...

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CE 383 STRUCTURAL ANALYSIS Fall Term, 2008 Homework #5 Due: January 11, 2010 1) The two cantilever beams are connected together at their free ends by a spring with K=600kN/cm. The moment of inertia of the beams is 2000 cm 4 and E=200 000 MPa. Using the direct stiffness method, compute the deflection of the free end of each cantilever for a load of 50 kN applied to the free end of the lower cantilever. Assume that beams are axially rigid.
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Unformatted text preview: 2) Using the direct stiffness method, compute the displacements, reactions and internal forces for the system shown. Ü§ à¯•à¯˜à¯”à¯ &à¯§à¯¥à¯¨à¯¦à¯¦à¯˜à¯¦ àµŒ 200 000 MPa Ü« à¯•à¯˜à¯”à¯  = 200 Ý” 10 à¬º Ý‰Ý‰ à¬¸ Ü£ à¯•à¯˜à¯”à¯  = 8 Ý” 10 à¬· Ý‰Ý‰ à¬¶ Ü£ à¯§à¯¥à¯¨à¯¦à¯¦ à²³à²µ = 2 Ý” 10 à¬· Ý‰Ý‰ à¬¶ Ü£ à¯§à¯¥à¯¨à¯¦à¯¦ à²²à²µ&à²µà²´ àµŒ 3 Ý” 10 à¬· Ý‰Ý‰ à¬¶ A C 100 kN D B 5 m 5 m 2 m A C B 9 m K=600 kN/cm 50 kN 6 m D...
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