Closed swopnil123 closed 3 weeks ago
Interesting. I need to think about this one. It will be a day or two before I can respond.
I've worked up an example to calculate diaphragm forces. You can copy the text below and then invoke the Hurmet command 𝐌▾ | Paste from Markdown.
It seems to me that this works reasonably well. I'd like your comments. I may take the time to work up the example with up-to-date code references and more plausible engineering numbers. The result may make a decent Hurmet guide for diaphragm and collector design.
¢` format = "h4" `
#### Vertical Distribution of Seismic Force
From earlier analysis
::: indented
¢` S_DS = 1.0 ` ¢` I = 1.0 `
¢` V_base = 400kips `, base shear ¢` T = 0.75 sec `, fundamental period
of the structure
:::
From ASCE-16 section 12.8.3, Equivalent Lateral Procedure
::: indented
¢` k = { 1 if T ≤ 0.5; 2 if T ≥ 2.5; 1 + (T - 0.5) // 2 otherwise } = ? `
¢` C_vs = (w × h^k) / (Σ (w × h^k)) `, vertical distribution coefficient, Eq.
12.8-12
¢` F = C_vs V_base `, local force, Eq. 12.8-11
:::
¶
: dist: Vertical Distribution of Seismic Force
+--------+----------+---------+----------+-----------+--------------+--------+
| Floor | Weight\ | Height\ | w × h^k^ | C~vs~ | Force\ | Shear\ |
| | kips | ft | | | kips | kips |
+========+:========:+:=======:+:========:+:=========:+:============:+:======:+
| roof | 950 | 70 | =B1×C1^k | =D1/D_end | ==E1× V_base | =F1 |
+--------+----------+---------+----------+-----------+--------------+--------+
| fifth | 1,250 | 56 | " | " | " | =G1+F2 |
+--------+----------+---------+----------+-----------+--------------+--------+
| fourth | " | 42 | " | " | " | " |
+--------+----------+---------+----------+-----------+--------------+--------+
| third | " | 28 | " | " | " | " |
+--------+----------+---------+----------+-----------+--------------+--------+
| second | " | 14 | " | " | " | " |
+--------+----------+---------+----------+-----------+--------------+--------+
| total | =sum(up) | 0 | =sum(up) | | =sum(up) | =F_end |
+--------+----------+---------+----------+-----------+--------------+--------+
{#dist ."four-rules spreadsheet" colWidths="NaN NaN NaN NaN NaN NaN NaN"}
Next, let’s find the design diaphragm forces.
::: indented
¢` F_pxTrial = (∑F_(i=1)^n) / (∑W_(i=1)^n) W_i `, Eqn 12.10-1
¢` F_pxMin = 0.2 S_DS I w_px `. This usually controls.
¢` F_pxMax = 0.4 S_DS I w_px `
:::
: fram: Diaphragm Forces
+--------+----------+--------+----------+----------+-------------+----------------+-----------+---------------------+
| Floor | Weight\ | ΣW\ | F\ | ΣF\ | F~pxTrial~\ | F~pxMin~\ | F~pxMax~\ | F~px~\ |
| | kips | kips | kips | kips | kips | kips | kips | kips |
+:======:+:========:+:======:+:========:+:========:+:===========:+:==============:+:=========:+:===================:+
| roof | 950 | =B1 | =dist.F1 | =dist.G1 | =E1/C1×B1 | =0.2×S_DS×I×B1 | =2×G1 | =min(max(F1,G1),H1) |
+--------+----------+--------+----------+----------+-------------+----------------+-----------+---------------------+
| fifth | 1,250 | =C1+B2 | " | " | " | " | " | " |
+--------+----------+--------+----------+----------+-------------+----------------+-----------+---------------------+
| fourth | " | " | " | " | " | " | " | " |
+--------+----------+--------+----------+----------+-------------+----------------+-----------+---------------------+
| third | " | " | " | " | " | " | " | " |
+--------+----------+--------+----------+----------+-------------+----------------+-----------+---------------------+
| second | " | " | " | " | " | " | " | " |
+--------+----------+--------+----------+----------+-------------+----------------+-----------+---------------------+
| total | =sum(up) | =B_end | " | " | | | | |
+--------+----------+--------+----------+----------+-------------+----------------+-----------+---------------------+
{#fram ."four-rules spreadsheet" colWidths="69 71 NaN NaN NaN 83 64 NaN NaN"}
Also, while working through this, I found a bug in the parser that breaks on spaces in some spreadsheet formulas. I'm working on a fix.
Thank you for your quick response. Give me some time to review it. I'm little busy this week.
One question
Why does first column i.e. Floor doesn't work if we use ditto to get floor names?
That was a bug. Fixed now. Thank you for pointing it out.
My comment above described how to import one spreadsheet column into a second spreadsheet's column. I am closing the comment as completed.
One more thing I noticed. If we use ditto to access the first column from previously defined table then then summation in the second column will go wrong.
Can you see this?
Is there a way of reusing columns from previously defined tables in Hurmet Spreadsheets without having to retype everything?
In this example, I want to define a new table for diaphragm force distribution and want to use the columns from previously defined table. Is there a way to achieve this? The dittto will behave like a constant.
¢
format ="h2"
¢
k = 1
¢
V_base = 500kips
: Table1 Seismic Force Distribution +--------+----------+---------+----------+-----------+--------------+--------+----------------+ | Floor | Weight\ | Height\ | w × h^k^ | C~vs~ | Force\ | Shear\ | Overturning\ | | | kips | ft | | | kips | kips | kip·ft | +========+:========:+:=======:+:========:+:=========:+:============:+:======:+:==============:+ | roof | 950 | 70 | =B1×C1^k | =D1/D_end | ==E1× V_base | =F1 | 0 | +--------+----------+---------+----------+-----------+--------------+--------+----------------+ | fifth | 1,250 | 56 | " | " | " | =G1+F2 | =H1+G1×(C1-C2) | +--------+----------+---------+----------+-----------+--------------+--------+----------------+ | fourth | " | 42 | " | " | " | " | " | +--------+----------+---------+----------+-----------+--------------+--------+----------------+ | third | " | 28 | " | " | " | " | " | +--------+----------+---------+----------+-----------+--------------+--------+----------------+ | second | " | 14 | " | " | " | " | " | +--------+----------+---------+----------+-----------+--------------+--------+----------------+ | total | =sum(up) | 0 | =sum(up) | | =sum(up) | =F_end | " | +--------+----------+---------+----------+-----------+--------------+--------+----------------+ {#Table1 ."four-rules spreadsheet" colWidths="70 71 62 73 88 74 76 null"}
¶
¢
Table1.Weight=??kips
¶
: Table2 Diaphragm Force Distribution +--------------------+---------------------+---------------------+ | Floor | Weight\ | Height\ | | | kips | ft | +====================+=====================+=====================+ | =Table1.Floor.roof | =Table1.roof.Weight | =Table1.roof.Height | +--------------------+---------------------+---------------------+ | “ | “ | “ | +--------------------+---------------------+---------------------+ {#Table2 ."grid spreadsheet" colWidths="163 159 null"}
¶