160 «“√ “√∑“ß«‘™“°“√ ¿“Õ“®“√¬å °».√√.®ª√., ªï∑’Ë 8 (2553)
E-mail: [email protected]
æ—πµ√’ ¥√.≥—∞æ√ πÿµ¬– °ÿ≈
æ—π‡Õ° º».¥√.™«π ®—π∑«“≈¬å
§«“¡ “¡“√∂„π°“√√—∫·√ߥ—¥·≈–·√ßÕ—¥¢Õ߇À≈Á°
‚§√ß √â“ß√Ÿªæ√√≥¢÷Èπ√Ÿª‡¬Áπ∑’˺≈‘µµ“¡¡“µ√∞“π ¡Õ°.
¿“¬„µâ°“√§”π«≥·∫∫„™âÀπ⓵—¥ª√– ‘∑∏‘º≈
Flexural Strength and Compressive Strength of Tis Cold-formed Steel Section using
Effective Section Approach
∫∑§—¥¬àÕ
„πªí®®ÿ∫—π¡’°“√„™âº≈‘µ¿—≥±å‡À≈Á°¢÷Èπ√Ÿª‡¬ÁπÕ¬à“ß·æ√àÀ≈“¬„π°“√°àÕ √â“߇π◊ËÕß®“°¡’§«“¡
·¢Áß·√ß·≈–πÈ”Àπ—°‡∫“°«à“‡À≈Á°√Ÿªæ√√≥√’¥√âÕπ ∑”„Àâ¢π à߇§≈◊ËÕπ¬â“¬·≈–𔉪„™âß“π‰¥â –¥«°
·≈–„π¢≥–‡¥’¬«°—π°Á™à«¬‡æ‘Ë¡§«“¡ “¡“√∂„π°“√‡æ‘Ë¡√–¬–«“ßæ“¥¢Õߧ“π„Àâ°«â“ߢ÷Èπ √«¡∑—Èß µ‘¥µ—È߉¥âÕ¬à“ß√«¥‡√Á« µÕ∫ πÕߧ«“¡µâÕß°“√¢ÕߺŸâ∫√‘‚¿§‰¥âÕ¬à“ߥ’¬‘Ëß ‡π◊ËÕß®“°‡À≈Á°‚§√ß √â“ß
√Ÿªæ√√≥¢÷Èπ√Ÿª‡¬Áπ¡’Àπ⓵—¥∑’Ë¡’Õ—µ√“ à«π™–≈Ÿ¥ Ÿß¡“° §«“¡ “¡“√∂„π°“√√—∫·√ߥ—¥·≈–·√ßÕ—¥
¢Õ߇À≈Á°‚§√ß √â“ß√Ÿªæ√√≥¢÷Èπ√Ÿª‡¬Áπ ®÷ßµâÕß¡’°“√§”π«≥µ“¡¢âÕ°”Àπ¥ ¡“µ√∞“π°“√ÕÕ°·∫∫
Õ“§“√‡À≈Á°¢÷Èπ√Ÿª‡¬Áπ (« ∑. 1024-53) ‚¥¬„™â°“√§”π«≥·∫∫§«“¡°«â“ߪ√– ‘∑∏‘º≈ ‚¥¬
æ‘®“√≥“‡©æ“–°“√‚°à߇¥“–‡©æ“–∑’Ë¢Õß™‘Èπ à«π·µà≈–™‘Èπ ®“°º≈°“√µ√«® Õ∫æ∫«à“ °“√‚°àß
‡¥“–‡©æ“–∑’Ë¡’º≈µàÕ°“√§”π«≥Àπ⓵—¥ª√– ‘∑∏‘º≈·≈–‚¡¥Ÿ≈— Àπ⓵—¥ª√– ‘∑∏‘º≈„πÀπ⓵—¥∑’Ë
°”Àπ¥‰«âµ“¡¡“µ√∞“π ¡Õ°. 1238-2549 ‚¥¬‡©æ“–Õ¬à“߬‘Ëß„πÕߧåÕ“§“√√—∫·√ßÕ—¥¡’Àπ⓵—¥∑’Ë¡’
º≈°√–∑∫®“°°“√‚°à߇¥“–‡©æ“–∑’ˇªìπ®”π«π√âÕ¬≈– 52 ¢ÕßÀπ⓵—¥∑’Ë¡’Õ¬Ÿà
ABSTRACT
Cold-formed steel has been widely used in construction due to higher strength and lighter weight than typical hot rolled steel. Its popularity come from economy in transportation and handling, quick and simple erection, and increasing span length.
However, cold-formed steel cross-section is slender and susceptible to local buckling before the section can develop yielding. Flexural strength and compressive strength of cold-formed steel section must be calculated referring to Engineering Institute of Thailand Standard (EIT) 1020-53 corresponding to effective width concept. Engineer must calculate effective area and effective section modulus considering to the local buckling. Form the analyses, 52 percents and 18 percents of the Thai Industrial Standard (TIS 1238-2549) of cold-formed steel products are not fully effective for compression member and flexural member respectively.
Key words: Cold-formed Steel, Effective Section Modulus, Local buckling
162 «“√ “√∑“ß«‘™“°“√ ¿“Õ“®“√¬å °».√√.®ª√., ªï∑’Ë 8 (2553)
°“√°àÕ √â“ß„πªí®®ÿ∫—π¡’°“√„™âº≈‘µ¿—≥±å
‡À≈Á°‚§√ß √â“ß 2 ™π‘¥ ‰¥â·°à º≈‘µ¿—≥±å‡À≈Á°
√’¥√âÕπ·≈–º≈‘µ¿—≥±å‡À≈Á°¢÷Èπ√Ÿª‡¬Áπ ”À√—∫
º≈‘µ¿—≥±å‡À≈Á°¢÷Èπ√Ÿª‡¬Áπ º≈‘µ¡“®“°·ºàπ‡À≈Á°
‡À≈Á°™‘Èπ À√◊Õ‡À≈Á°‡ âπ ¥â«¬°√–∫«π°“√¢÷Èπ√Ÿª
„π√–¥—∫Õÿ≥À¿Ÿ¡‘ÀâÕß¿“¬„µâ°√√¡«‘∏’°“√¢÷Èπ√Ÿª‡¬Áπ
‡æ◊ËÕ„À≥â√Ÿª∑√ßµà“ßÊ µ“¡µâÕß°“√ ‡À≈Á°¢÷Èπ
√Ÿª‡¬Áπ‰¥â∂Ÿ°π”‰ª„™âÕ¬à“ß·æ√àÀ≈“¬„π°“√°àÕ √â“ß
‡π◊ËÕß®“°¡’§«“¡·¢Áß·√ß·≈–πÈ”Àπ—°‡∫“°«à“‡À≈Á°
√Ÿªæ√√≥√’¥√âÕπ ∑”„Àâ¢π à߇§≈◊ËÕπ¬â“¬·≈–π”
‰ª„™âß“π‰¥â –¥«° ·≈–„π¢≥–‡¥’¬«°—π°Á™à«¬
‡æ‘Ë¡§«“¡ “¡“√∂„π°“√‡æ‘Ë¡√–¬–«“ßæ“¥¢Õß
§“π„Àâ°«â“ߢ÷Èπ √«¡∑—Èßµ‘¥µ—È߉¥âÕ¬à“ß√«¥‡√Á« µÕ∫
πÕߧ«“¡µâÕß°“√¢ÕߺŸâ∫√‘‚¿§‰¥âÕ¬à“ߥ’¬‘Ëß ªí ® ®ÿ ∫— π ª √ – ‡ ∑ » ‰ ∑ ¬ ‰ ¥â ¡’ ¡ “ µ √ ∞ “ π º≈‘µ¿—≥±åÕÿµ “À°√√¡ ‡À≈Á°‚§√ß √â“ß√Ÿªæ√√≥
¢÷Èπ√Ÿª‡¬Áπ ¡Õ°. 1238-2549 ¡“µ√∞“ππ’ȉ¥â
°”Àπ¥·∫∫·≈–√Ÿª¿“§µ—¥ (¥—ß· ¥ß‰«â„πµ“√“ß
∑’Ë 1) ¢π“¥ §«“¡Àπ“ ·≈–¡«≈µàÕ‡¡µ√ „Àâ
¥Ÿ‰¥â®“° ¡Õ°.1238-25491
√Ÿªæ√√≥¢÷Èπ√Ÿª‡¬Áπ ¡Õ°.1238- 25491
·∫∫ √Ÿª¿“§µ—¥
‡À≈Á°©“°
¢“‡∑à“°—π (equal leg) (light angle
¢“‰¡à‡∑à“°—π (unequal leg) steel)
‡À≈Á°√Ÿª√“ßπÈ” (light channel steel)
‡À≈Á°√Ÿªµ—«´’ (lip channel steel)
‡À≈Á°√Ÿªµ—«·´¥ (light Z steel)
‡À≈Á°√Ÿªµ—«·´¥¡’¢Õ∫ (lip Z steel)
‡À≈Á°√ŸªÀ¡«° (hat steel)
°“√§”π«≥§«“¡ “¡“√∂„π°“√√—∫·√ߥ—¥
·≈–·√ßÕ—¥¢Õ߇À≈Á°‚§√ß √â“ß√Ÿªæ√√≥¢÷Èπ√Ÿª‡¬Áπ
‚¥¬æ‘®“√≥“‡©æ“–°“√‚°à߇¥“–‡©æ“–∑’Ë¢Õß™‘Èπ à«π·µà≈–™‘È𠵓¡«‘∏’°“√¢âÕ°”Àπ¥ ¡“µ√∞“π
°“√ÕÕ°·∫∫Õ“§“√‡À≈Á°¢÷Èπ√Ÿª‡¬Áπ (« ∑. 1024- 53)2 ‚¥¬„™â°“√§”π«≥·∫∫§«“¡°«â“ߪ√– ‘∑∏‘º≈
´÷Ëß™‘Èπ à«π·µà≈–™‘Èπ„πÀπ⓵—¥‡¥’¬«°—π ∂â“¡’
Õ—µ√“ à«π™–≈Ÿ¥‡°‘π°«à“æ‘°—¥ ®–‰¡à “¡“√∂√—∫
·√߉¥âµ≈Õ¥∑—Èß™‘Èπ à«π ®“°°“√§”π«≥®–µâÕß µ—¥ à«π∑’ˇ°‘¥°“√‚°à߇¥“–‡©æ“–∑’Ë∑‘È߉ª ∑”„Àâ
™‘Èπ à«π‡À≈à“π’È®–¡’§«“¡°«â“ßÀ√◊Õ¢π“¥∑’Ë “¡“√∂
√—∫·√ß≈¥≈ß ‡√’¬°«à“§«“¡°«â“ߪ√– ‘∑∏‘º≈
§ÿ≥ ¡∫—µ‘„π°“√√—∫·√ߥ—¥·≈–·√ßÕ—¥¢ÕßÀπâ“
µ—¥ª√– ‘∑∏‘º≈‰¥â·°à ‚¡¥Ÿ≈— Àπ⓵—¥ª√– ‘∑∏‘º≈
(Effective Section Modulus, S
e) ·≈–æ◊Èπ∑’Ë Àπ⓵—¥ª√– ‘∑∏‘º≈ (Effective Area, A
e) ®–¡’
§à“≈¥≈ß
2. «—µ∂ÿª√– ߧå
2.1 ‡æ◊ËÕ π—∫ πÿπ¢âÕ¡Ÿ≈∑“ß«‘™“°“√∑“ߥâ“π
«‘»«°√√¡¢Õß‚§√ß √â“߇À≈Á°¢÷Èπ√Ÿª‡¬Áπ „π‡™‘ß
«‘»«°√√¡ à߇ √‘¡°“√«‘®—¬, Õߧ姫“¡√Ÿâ·≈–°“√
§”π«≥°“√ÕÕ°·∫∫‚§√ß √â“߇À≈Á°¢÷Èπ√Ÿª‡¬Áπ Õ¬à“ß∂Ÿ°µâÕßµ“¡À≈—°«‘™“«‘»«°√√¡
2.2 ‡ æ◊Ë Õ ∑ √ “ ∫ ∂÷ ß æ ƒ µ‘ ° √ √ ¡ · ≈ – § « “ ¡ “¡“√∂¢Õß‚§√ß √â“߇À≈Á°¢÷Èπ√Ÿª‡¬Áπ
2.3 · ¥ß„Àâ‡ÀÁπ∂÷ß«‘∏’°“√§”π«≥ÕÕ°·∫∫
‚¥¬„™â‚§√ß √â“߇À≈Á°¢÷Èπ√Ÿª‡¬Á𠵓¡¡“µ√∞“π
« ∑. 1024-53
2.4 ‡æ◊ËÕ∑√“∫∂÷ߧ«“¡ “¡“√∂„π°“√°“√
√—∫·√ߢÕßÀπ⓵—¥∑’Ë·µ°µà“ß°—π ¢Õß‚§√ß √â“ß
‡À≈Á°¢÷Èπ√Ÿª‡¬Áπ ·≈– “¡“√∂„™â‡ªìπ¢âÕ¡Ÿ≈„π°“√
æ—≤π“µàÕ‰ª„πÕ𓧵
3. °“√¥”‡π‘π°“√«‘®—¬
®“°ß“π«‘®—¬¢Õß Õ¿‘𗵑 Õ—™°ÿ≈ ·≈–§≥–3
´÷Ë߉¥âµ√«® Õ∫§«“¡ “¡“√∂„π°“√√—∫·√ߥ—¥
¢Õ߇À≈Á°‚§√ß √â“ß√Ÿªæ√√≥¢÷Èπ√Ÿª‡¬Áπ√Ÿªµ—« C
· ∫ ∫ ¡’ ¢ Õ ∫ ‡ ¡â ¡ · ≈ – ‰ ¡à ¡’ ¢ Õ ∫ ‡ ¡â ¡ ∑’Ë º ≈‘ µ µ “ ¡
¡“µ√∞“π ¡Õ°. ¿“¬„µâ°“√§”π«≥·∫∫„™âÀπâ“
µ—¥ª√– ‘∑∏‘º≈ „πß“π«‘®—¬π’È ∑“ߧ≥–ºŸâ«‘®—¬‰¥â
¥”‡π‘π°“√«‘‡§√“–ÀåµàÕ‡π◊ËÕß®“° ß“π«‘®—¬¢Õß Õ¿‘𗵑 Õ—™°ÿ≈ ·≈–§≥–3 ‚¥¬µ√«® Õ∫§«“¡
“¡“√∂„π°“√√—∫·√ߥ—¥·≈–·√ßÕ—¥¢Õ߇À≈Á°
‚§√ß √â“ß√Ÿªæ√√≥¢÷Èπ√Ÿª‡¬Áπ‡©æ“–·∫∫·≈–√Ÿª
¿“§µ—¥∑’ˉ¥â°”À𥵓¡¡“µ√∞“πº≈‘µ¿—≥±å Õÿµ “À°√√¡ ‡À≈Á°‚§√ß √â“ß√Ÿªæ√√≥¢÷Èπ√Ÿª‡¬Áπ
¡Õ°. 1238-2549 ‡∑à“π—Èπ ‚¥¬æ‘®“√≥“‡©æ“–°“√
‚°à߇¥“–‡©æ“–∑’Ë ‡æ√“–©–π—ÈπÕߧåÕ“§“√®–µâÕß
¡’°“√§È”¬—π¥â“π¢â“ßÕ¬à“߇撬ßæÕµàÕ°“√‚°àß
‡¥“–∑“ߢâ“ß®“°°“√∫‘¥·≈–°“√‚°à߇¥“–·∫∫
‡ ’¬√Ÿª º≈°“√µ√«® Õ∫®÷ß “¡“√∂„™â‡ªìπ§à“
Õâ“ßÕ‘ß„π°“√ÕÕ°·∫∫‡À≈Á°‚§√ß √â“ß√Ÿªæ√√≥
¢÷Èπ√Ÿª‡¬Áπ‰¥â
4. °“√«‘‡§√“–Àå·≈–∑ƒ…Æ’∑’ˇ°’ˬ«¢âÕß
°“√§”π«≥‚¡¥Ÿ≈— Àπ⓵—¥ª√– ‘∑∏‘º≈À√◊Õ æ◊Èπ∑’ËÀπ⓵—¥ª√– ‘∑∏‘º≈ ‚¥¬°“√À“§à“§«“¡
°«â“ߪ√– ‘∑∏‘º≈ µ“¡¢âÕ°”Àπ¥ « ∑. 1024-53
¡’∑ƒ…Æ’À≈—°∑’Ë„™â §◊Õ°“√‚°à߇¥“–¢Õ߇À≈Á°·ºàπ∫“ß
‚¥¬„™â ¡°“√¥—ßµàÕ‰ªπ’È 4.1 ¡°“√∑—Ë«‰ª
§«“¡°«â“ߪ√– ‘∑∏‘º≈ ®–§”π«≥®“°
¡°“√ (1) À√◊Õ (2) ¥—ßµàÕ‰ªπ’È
‡¡◊ËÕ (1)
‡¡◊ËÕ (2)
‚¥¬
w = §«“¡°«â“ß à«π‡√’¬∫
ρ = µ—«§Ÿ≥≈¥§à“‡©æ“–∑’Ë
= (3)
λ = µ—«§Ÿ≥§«“¡™–≈Ÿ¥
λ = (4)
f = Àπ૬·√ß„π™‘Èπ à«π√—∫·√ßÕ—¥
(5)
‚¥¬
k = —¡ª√– ‘∑∏‘Ï°“√‚°à߇¥“–¢Õß·ºàπ‡À≈Á°
(µ“√“ß∑’Ë 2, 3)
Ε = Õ‘≈“ µ‘°‚¡¥Ÿ≈— ¢Õ߇À≈Á° (203,000 MPa)
t = §«“¡Àπ“¢Õß™‘Èπ à«π∑’Ëæ‘®“√≥“
µ = Õ—µ√“ à«πªí«´ÕߢÕ߇À≈Á° (0.3)
„π°“√§”π«≥À“‚¡¥Ÿ≈— Àπ⓵—¥ª√– ‘∑∏‘º≈
À“°Àπ⓵—¥ª√– ‘∑∏‘º≈≈¥≈ß®“°Àπ⓵—¥‡µÁ¡
¿“¬„µâ·√ßÕ—¥ ®–∑”„Àâ·°π –‡∑‘π¢ÕßÀπ⓵—¥
164 «“√ “√∑“ß«‘™“°“√ ¿“Õ“®“√¬å °».√√.®ª√., ªï∑’Ë 8 (2553)
à«π√—∫·√ßÕ—¥∑’Ëæ‘®“√≥“‡ª≈’ˬπ·ª≈߉¥â ¥â«¬
‡Àµÿπ’È°“√§”π«≥®÷ßÕ“®‡ªìπ·∫∫∑”«π´È”‰ª¡“
(Iterative Process) µ“√“ß∑’Ë 2 ·≈– 3 √ÿª
§à“ —¡ª√– ‘∑∏‘°“√‚°à߇¥“–¢Õß·ºàπ‡À≈Á°‡æ◊ËÕ„™â
„π°“√§”π«≥§«“¡°«â“ߪ√– ‘∑∏‘º≈
µ“√“ß∑’Ë 2 —¡ª√– ‘∑∏‘Ï°“√‚°à߇¥“–¢Õß·ºàπ
‡À≈Á°, k ¢Õß™‘Èπ à«π„πÀπ⓵—¥
”À√—∫ÕߧåÕ“§“√√—∫·√ߥ—¥
‡À≈Á°, k ¢Õß™‘Èπ à«π„πÀπ⓵—¥
”À√—∫ÕߧåÕ“§“√√—∫·√ßÕ—¥
Àπ⓵—¥ ÕߧåÕ“§“√ ™‘Èπ à«π —¡ª√– ‘∑∏‘Ï°“√‚°à߇¥“–
√—∫·√ߥ—¥ ¢Õß·ºàπ‡À≈Á°, k
1 « ∑. 2.3 °. ™‘Èπ à«πª≈“¬
¬◊Ëπ√—∫·√ßÕ—¥·∫∫§ß∑’Ë k = 0.43
2 « ∑. 2.2 §. ·ºàπ‡Õ«·≈–
™‘Èπ à«πª≈“¬¬÷¥Õ◊ËπÊ
¿“¬„µâÀπ૬·√ß·∫∫‰¡à§ß∑’Ë 1 « ∑. 2.4 §«“¡°«â“ß
ª√– ‘∑∏‘º≈¢Õß™‘Èπ à«π√—∫
·√ßÕ—¥·∫∫§ß∑’Ë´÷Ëß¡’·ºàπ
‡ √‘¡°”≈—ß∑’Ë¢Õ∫‡ªìπ¢Õ∫
‡¡â¡·∫∫∏√√¡¥“
2 « ∑. 2.2 §. ·ºàπ‡Õ«·≈–
™‘Èπ à«πª≈“¬¬÷¥Õ◊ËπÊ
¿“¬„µâÀπ૬·√ß·∫∫‰¡à§ß∑’Ë 3 « ∑. 2.3 ¢. ™‘Èπ à«πª≈“¬
¬◊Ëπ·≈–·ºàπ‡ √‘¡°”≈—ß∑’Ë
¢Õ∫¿“¬„µâÀπ૬·√ß·∫∫
‰¡à§ß∑’Ë
1 « ∑. 2.2 °. ™‘Èπ à«π ª≈“¬¬÷¥√—∫·√ßÕ—¥·∫∫
§ß∑’Ë k = 4.0 2 « ∑. 2.2 §. ·ºàπ‡Õ«
·≈–™‘Èπ à«πª≈“¬¬÷¥Õ◊ËπÊ
¿“¬„µâÀπ૬·√ß·∫∫‰¡à
§ß∑’Ë
1 « ∑. 2.3 ¢. ™‘Èπ à«πª≈“¬
¬◊Ëπ·≈–·ºàπ‡ √‘¡°”≈—ß∑’Ë¢Õ∫
¿“¬„µâÀπ૬·√ß·∫∫‰¡à§ß∑’Ë
Àπ⓵—¥ ÕߧåÕ“§“√ √—∫·√ߥ—¥ ™‘Èπ à«π —¡ª√– ‘∑∏‘°“√‚°à߇¥“–¢Õß
·ºàπ‡À≈Á°, k
« ∑. 2.3 °. ™‘Èπ à«πª≈“¬¬◊Ëπ
√—∫·√ßÕ—¥·∫∫§ß∑’Ë k = 0.43
« ∑. 2.2 °. ™‘Èπ à«πª≈“¬¬÷¥
√—∫·√ßÕ—¥·∫∫§ß∑’Ë k = 4.0
« ∑. 2.4 §«“¡°«â“ß ª√– ‘∑∏‘º≈¢Õß™‘Èπ à«π√—∫
·√ßÕ—¥·∫∫§ß∑’Ë´÷Ëß¡’·ºàπ
‡ √‘¡°”≈—ß∑’Ë¢Õ∫‡ªìπ¢Õ∫‡¡â¡
·∫∫∏√√¡¥“
« ∑. 2.2 °. ™‘Èπ à«πª≈“¬¬÷¥
√—∫·√ß Õ—¥·∫∫§ß∑’Ë k = 4.0
« ∑. 2.3 °. ™‘Èπ à«πª≈“¬¬◊Ëπ
√—∫·√ßÕ—¥·∫∫§ß∑’Ë k = 0.43
« ∑. 2.2 °. ™‘Èπ à«πª≈“¬¬÷¥
√—∫·√ßÕ—¥·∫∫§ß∑’Ë k = 4.0
« ∑. 2.4 §«“¡°«â“ß ª√– ‘∑∏‘º≈¢Õß™‘Èπ à«π√—∫
·√ßÕ—¥·∫∫§ß∑’Ë´÷Ëß¡’·ºàπ
‡ √‘¡°”≈—ß∑’Ë¢Õ∫‡ªìπ¢Õ∫‡¡â¡
·∫∫∏√√¡¥“
« ∑. 2.3 °. ™‘Èπ à«πª≈“¬¬◊Ëπ
√—∫·√ßÕ—¥·∫∫§ß∑’Ë k = 0.43
« ∑. 2.3 °. ™‘Èπ à«πª≈“¬¬◊Ëπ
√—∫·√ßÕ—¥·∫∫§ß∑’Ë k = 0.43
5. º≈°“√«‘‡§√“–Àå
°“√«‘‡§√“–À剥âÀ“æ◊Èπ∑’ËÀπ⓵—¥√«¡,Ag ‚¥¬
§”π«≥®“°æ◊Èπ∑’ËÀπ⓵—¥µ“¡¢π“¥∑’Ë√–∫ÿ‰«â[1]
‡ª√’¬∫‡∑’¬∫°—∫æ◊Èπ∑’ËÀπ⓵—¥ª√– ‘∑∏‘º≈, Ae ∑’Ë
‰¥â®“°°“√§”π«≥®“°§«“¡°«â“ߪ√– ‘∑∏‘º≈∑’Ë À“‰¥â„π·µà≈–æ◊Èπ∑’ËÀπ⓵—¥µ“¡·∫∫·≈–¢π“¥
‡À≈Á°‚§√ß √â“ß√Ÿªæ√√≥¢÷Èπ√Ÿª‡¬Áπ ¡Õ°.1238-2549 º≈°“√«‘‡§√“–Àå∑’ˉ¥â· ¥ß‰«â„πµ“√“ß∑’Ë 4-9
µ“√“ß∑’Ë 4 º≈°“√«‘‡§√“–Àå§à“æ◊Èπ∑’˪√– ‘∑∏‘º≈ ·≈–§à“‚¡¥Ÿ≈— Àπ⓵—¥ª√– ‘∑∏‘º≈„π‡À≈Á°√Ÿªæ√√≥
¢÷Èπ√Ÿª‡¬Áπ√Ÿª√“ßπÈ”
¢π“¥ æ◊Èπ∑’ËÀπ⓵—¥ ‚¡¥Ÿ≈— √Õ∫·°ππÕπ
(¡¡.) Ag (¡¡.2) Ae (¡¡.2) Sg (¡¡.3) Se (¡¡.3)
19x12x12x1.6 60.384 60.384 332.89 332.89
38x15x15x1.6 100.38 100.38 1072.5 1072.5
40x40x15x3.2 270.33 270.33 2235.7 2235.7
40x40x40x2.3 258.61 237 3567.9 3275.3
40x40x40x3.2 350.33 350.33 4602.8 4602.8
50x25x10x2.3 178.11 178.11 1885.6 1885.6
60x30x30x1.6 183.58 168.09 3446.7 3099.2
60x30x30x2.3 258.61 258.61 4718.6 4718.6
75x40x15x2.3 281.61 270.81 4657.2 4649
75x40x15x3.2 382.33 382.33 6077.4 6077.4
80x40x40x2.3 350.61 329 8732.4 8103.4
100x40x40x2.3 396.61 367.48 11777 10988
100x40x40x3.2 542.33 542.33 15728 15728
100x50x15x2.3 362.11 326.16 7621 7427
100x50x50x2.3 442.61 378.23 13973 11785
100x50x50x3.2 606.33 588.45 18728 18136
120x40x40x3.2 606.33 606.33 20296 20296
150x50x50x2.3 557.61 409.64 24077 20847
150x50x50x3.2 766.33 712.67 32546 31625
150x50x50x4.5 1058.4 1058.4 43871 43871
150x75x30x6.0 1411.6 1411.6 45751 45751
150x75x75x4.0 1147.4 1050.5 53854 48425
150x75x75x4.5 1283.4 1220.8 59753 56418
150x75x75x6.0 1681.6 1681.6 76394 76394
200x50x50x3.2 926.33 754.78 49035 47794
200x50x50x4.0 1147.4 1058.2 59985 59985
200x50x50x4.5 1283.4 1243.2 66572 66572
200x75x75x6.0 1981.6 1981.6 113401 113401
250x50x50x4.0 1347.4 1107.3 83666 83666
166 «“√ “√∑“ß«‘™“°“√ ¿“Õ“®“√¬å °».√√.®ª√., ªï∑’Ë 8 (2553)
¢π“¥ æ◊Èπ∑’ËÀπ⓵—¥ ‚¡¥Ÿ≈— √Õ∫·°ππÕπ
(¡¡.) Ag (¡¡.2) Ae (¡¡.2) Sg (¡¡.3) Se (¡¡.3)
250x50x50x4.5 1508.4 1314.4 93027 93027
250x75x75x6.0 2281.6 2266.7 155422 155422
300x50x50x4.0 1547.4 1139.1 110682 110682
300x50x50x4.5 1733.4 1360.4 123234 123234
350x50x50x4.0 1747.4 1161.3 141032 141032
350x50x50x4.5 1958.4 1392.5 157192 157192
400x75x75x4.5 2408.4 1578.6 238896 229983
400x75x75x6.0 3181.6 2518.4 311516 311516
450x75x75x4.5 2633.4 1596.8 285979 272712
450x75x75x6.0 3481.6 2562.9 373552 373552
®“°µ“√“ß∑’Ë 4 · ¥ß„Àâ‡ÀÁπ«à“ ¡’Àπ⓵—¥
26 Àπ⓵—¥ ®“°∑—ÈßÀ¡¥ 39 Àπ⓵—¥®–¡’æ◊Èπ∑’Ë Àπ⓵—¥ª√– ‘∑∏‘º≈≈¥≈ß®“°Àπ⓵—¥‡¥‘¡ §‘¥
‡ªìπ√âÕ¬≈– 66.7 ·≈–¡’Àπ⓵—¥ 13 Àπ⓵—¥ ®“°
∑—ÈßÀ¡¥ 39 Àπ⓵—¥®–¡’‚¡¥Ÿ≈— Àπ⓵—¥
ª√– ‘∑∏‘º≈≈¥≈ß®“°Àπ⓵—¥‡¥‘¡ §‘¥‡ªìπ√âÕ¬≈–
33.3
µ“√“ß∑’Ë 5 º≈°“√«‘‡§√“–Àå§à“æ◊Èπ∑’˪√– ‘∑∏‘º≈ ·≈–§à“‚¡¥Ÿ≈— Àπ⓵—¥ª√– ‘∑∏‘º≈„π‡À≈Á°√Ÿªæ√√≥
¢÷Èπ√Ÿª‡¬Áπ√Ÿªµ—«´’·∫∫¡’¢Õ∫‡¡â¡
¢π“¥ æ◊Èπ∑’ËÀπ⓵—¥ ‚¡¥Ÿ≈— √Õ∫·°ππÕπ
(¡¡.) Ag (¡¡.2) Ae (¡¡.2) Sg (¡¡.3) Se (¡¡.3)
60x30x10x1.6 207.17 207.17 3879.8 3879.8
60x30x10x2.0 253.7 253.7 4659.9 4659.9
60x30x10x2.3 287.22 287.22 5197.7 5197.7
70x40x25x1.6 303.17 294.65 6292.2 6292.2
75x35x15x2.3 367.72 367.72 8276.7 8276.7
75x45x15x1.6 295.17 288.48 7237.8 7237.8
75x45x15x2.0 363.7 363.7 8794.3 8794.3
75x45x15x2.3 413.72 413.72 9898.1 9898.1
90x45x20x1.6 335.17 309.29 9464.7 9464.7
90x45x20x2.3 471.22 471.22 13019 13019
90x45x20x3.2 636.67 636.67 17090 17090
100x50x20x1.6 367.17 328.75 11683 11683
100x50x20x2.0 453.7 431.41 14276 14276
100x50x20x2.3 517.22 509.69 16138 16138
100x50x20x2.8 620.45 620.45 19086 19086
¢÷Èπ√Ÿª‡¬Áπ√Ÿª√“ßπÈ” (µàÕ)
¢π“¥ æ◊Èπ∑’ËÀπ⓵—¥ ‚¡¥Ÿ≈— √Õ∫·°ππÕπ (¡¡.) Ag (¡¡.2) Ae (¡¡.2) Sg (¡¡.3) Se (¡¡.3)
100x50x20x3.2 700.67 700.67 21306 21306
100x50x20x4.0 854.8 854.8 25388 25388
100x50x20x4.5 946.85 946.85 27701 27701
120x40x20x3.2 700.67 700.67 23761 23761
120x60x20x2.3 609.22 571.66 23311 23311
120x60x20x3.2 828.67 828.67 31038 31038
120x60x25x4.5 1171.9 1171.9 41943 41943
125x50x20x2.3 574.72 528.97 21834 21834
125x50x20x3.2 780.67 780.67 28993 28993
125x50x20x4.0 954.8 954.8 34730 34730
125x50x20x4.5 1059.4 1059.4 38024 38024
150x50x20x2.3 632.22 541.11 28026 28026
150x50x20x3.2 860.67 824.89 37369 37369
150x50x20x4.5 1171.9 1171.9 49321 49321
150x65x20x2.3 701.22 610.11 33044 33044
150x65x20x3.2 956.67 920.89 44267 44267
150x65x20x4.0 1174.8 1174.8 53465 53465
150x75x20x3.2 1020.7 984.89 48865 48865
150x75x20x4.0 1254.8 1254.8 59151 59151
150x75x20x4.5 1396.9 1396.9 65203 65023
150x75x25x3.2 1052.7 1016.9 50042 50042
150x75x25x4.0 1294.8 1294.8 60622 60622
150x75x25x4.5 1441.9 1441.9 66858 66858
200x75x20x3.2 1180.7 1027 71653 71653
200x75x20x4.0 1454.8 1365.6 87107 87107
200x75x20x4.5 1621.9 1581.6 96281 96281
200x75x25x3.2 1212.7 1059 73576 73576
200x75x25x4.0 1494.8 1405.6 89510 89510
200x75x25x4.5 1666.9 1626.6 98985 98985
250x75x25x4.5 1891.9 1697.8 134929 134929
®“°µ“√“ß∑’Ë 5 · ¥ß„Àâ‡ÀÁπ«à“ ¡’Àπ⓵—¥
21 Àπ⓵—¥ ®“°∑—ÈßÀ¡¥ 45 Àπ⓵—¥®–¡’æ◊Èπ∑’Ë Àπ⓵—¥ª√– ‘∑∏‘º≈≈¥≈ß®“°Àπ⓵—¥‡¥‘¡ §‘¥
‡ªìπ√âÕ¬≈– 46.7 ·≈–¡’‰¡à¡’Àπ⓵—¥„¥‡≈¬ ®“°
∑—ÈßÀ¡¥ 39 Àπ⓵—¥®–¡’‚¡¥Ÿ≈— Àπ⓵—¥
ª√– ‘∑∏‘º≈≈¥≈ß®“°Àπ⓵—¥‡¥‘¡
µ“√“ß∑’Ë 5 º≈°“√«‘‡§√“–Àå§à“æ◊Èπ∑’˪√– ‘∑∏‘º≈ ·≈–§à“‚¡¥Ÿ≈— Àπ⓵—¥ª√– ‘∑∏‘º≈„π‡À≈Á°√Ÿªæ√√≥
¢÷Èπ√Ÿª‡¬Áπ√Ÿªµ—«´’·∫∫¡’¢Õ∫‡¡â¡ (µàÕ)
168 «“√ “√∑“ß«‘™“°“√ ¿“Õ“®“√¬å °».√√.®ª√., ªï∑’Ë 8 (2553)
¢÷Èπ√Ÿª‡¬Áπ‡À≈Á°√Ÿªµ—«·´¥
¢π“¥ æ◊Èπ∑’ËÀπ⓵—¥ ‚¡¥Ÿ≈— √Õ∫·°ππÕπ
(¡¡.) Ag (¡¡.2) Ae (¡¡.2) Sg (¡¡.3) Se (¡¡.3)
40x20x20x2.3 166.61 166.61 1931.4 1931.4
60x30x30x2.3 258.61 258.61 4718.6 4718.6
75x30x20x2.3 270.11 270.11 5097.5 5097.5
75x30x30x3.2 398.33 398.33 8420.4 8420.4
75x40x30x2.3 316.11 305.31 6678.6 6591.9
100x50x50x2.3 442.61 378.23 13973 11785
100x50x50x3.2 606.33 588.45 18728 18136
®“°µ“√“ß∑’Ë 6 · ¥ß„Àâ‡ÀÁπ«à“ ¡’Àπ⓵—¥ 3 Àπ⓵—¥ ®“°∑—ÈßÀ¡¥ 7 Àπ⓵—¥®–¡’æ◊Èπ∑’ËÀπ⓵—¥
ª√– ‘∑∏‘º≈≈¥≈ß®“°Àπ⓵—¥‡¥‘¡ §‘¥‡ªìπ√âÕ¬≈–
42.9 ·≈–¡’Àπ⓵—¥ 3 Àπ⓵—¥ ®“°∑—ÈßÀ¡¥ 7 Àπ⓵—¥®–¡’‚¡¥Ÿ≈— Àπ⓵—¥ª√– ‘∑∏‘º≈≈¥≈ß®“°
Àπ⓵—¥‡¥‘¡ §‘¥‡ªìπ√âÕ¬≈– 42.9
µ“√“ß∑’Ë 7 º≈°“√«‘‡§√“–Àå§à“æ◊Èπ∑’˪√– ‘∑∏‘º≈ ·≈–§à“‚¡¥Ÿ≈— Àπ⓵—¥ª√– ‘∑∏‘º≈ „π‡À≈Á°√Ÿªæ√√≥
¢÷Èπ√Ÿª‡¬Áπ√Ÿªµ—«·´¥¡’¢Õ∫
¢π“¥ æ◊Èπ∑’ËÀπ⓵—¥ ‚¡¥Ÿ≈— √Õ∫·°ππÕπ
(¡¡.) Ag (¡¡.2) Ae (¡¡.2) Sg (¡¡.3) Se (¡¡.3)
100x50x20x2.3 517.22 509.69 16138 16138
100x50x20x3.2 700.67 700.67 21306 21306
®“°µ“√“ß∑’Ë 7 · ¥ß„Àâ‡ÀÁπ«à“ ¡’Àπ⓵—¥ 1 Àπ⓵—¥ ®“°∑—ÈßÀ¡¥ 2 Àπ⓵—¥®–¡’æ◊Èπ∑’ËÀπ⓵—¥
ª√– ‘∑∏‘º≈≈¥≈ß®“°Àπ⓵—¥‡¥‘¡ §‘¥‡ªìπ√âÕ¬≈–
50 ·≈–¡’‰¡à¡’Àπ⓵—¥„¥‡≈¬ ®“°∑—ÈßÀ¡¥ 2 Àπâ“
µ—¥®–¡’‚¡¥Ÿ≈— Àπ⓵—¥ª√– ‘∑∏‘º≈≈¥≈ß®“°Àπâ“
µ—¥‡¥‘¡
