A rigid platform is supported by three columns (A, B, & C). Columns A & B are ma

Question

A rigid platform is supported by three columns (A, B, & C). Columns A & B are made of steel and have a circular cross section with radius 5 cm. Column C is made of aluminum and also has a radius of 5 cm. The columns were installed at a temperature of -10 degree C. If the temperature rises to 50 Degree C, determine the reaction forces at the base of each column, and the angle of the platform given the distributed load as shown. Hint: The rigid platform does not bend, however it can rotate. Consider how this places a compotibilit, constraint on the three columns.

Explanation / Answer

LET REACTION FORCE BE Ra , Rb , Rc

TOTAL LOAD = 1/2 * 1* 5 = 2.5

WE HAVE 3 UNKNOWNS SO WE NEED 3 EQN

Ra + Rb + Rc = 2.5 ___________1

NET MOMENT ABOUT C = 0

Ra *2 +Rb * 1 - (2.5 * (1/3 * 1)) = 0 _____________2

DEFORMATION EQN

da = (L * ALFA * dT ) - (Ra * La/(Aa * Ea))

SIMILARLY FOR B AND C JUST CHANGE SUFFIX

AFTER DEFORMING IT ATYPE OF TRAPEZIUM OF WHICH PARALLEL SIDES ARE da & dc

FROM SIMILAR TRIANGLE PROPERTY

(dc - da) / 2 = (db - da ) /1________________3

SOLVE THESE EQN AND GET ANSWER

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.