Question 1 of 3 · Force Systems & Equilibrium · Foundation · About 12 min

Loaded maintenance platform beam

A simply supported $5.0\,\mathrm{m}$ maintenance platform has a uniformly distributed self-mass of $35\,\mathrm{kg/m}$ . A $180\,\mathrm{kg}$ equipment unit stands $3.7\,\mathrm{m}$ from the left pin $A$ . The right support $B$ is a roller. Determine all support reaction components.

A horizontal platform beam 5.00 m long. Pin support at the left end A, roller support at the right end B. A row of evenly spaced small downward arrows along the full length of the beam shows the uniform self-mass. A rectangular equipment block sits on the beam with its centre 3.70 m from A, which is 74% of the span. Show one dimension from A to the block centre and one for the full span, on separate rows. Labels: A; B; 35 kg/m; 180 kg; 3.70 m; 5.00 m — Schematic, not to scale unless dimensions are given.

Given

$L=5.0$ m; distributed mass $35$ kg/m
$m_e=180$ kg at m

Find

$A_x$
$A_y$
$B_y$

Assumptions

All members and connections are idealised as specified in the question.
Use g = 9.81 m/s^2 where gravitational acceleration is required.

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Loaded maintenance platform beam

Given

Find

Assumptions

Worked solution