New School of Architecture Compressive Stress in Concrete Footing Questions

Anonymous

Question Description

please see attached

please show work

please make it organized and clear to read (very important)

Problem#1

A W12x87 Steel Column, 14'tall is subjected to a load of 215 kips The cross sectional area of the column is A = 25.6 in^2

A- What is the compressive stress in the column?

B- Whet is the bearing stress between the steel base plate and the concrete footing?

C- Whet is the bearing stress between the concrete footing and the soil?


Problem #2
A- FIND THE FORCE IN MEMBER AC AND THE FORCE IN MEMBER BC (hint, the system above is statically determinant) B- FIND THE STRESSES IN MEMBER AC AND MEMBER BC.

C-WHAT IS THE STRAIN IN MEMBER AC? D- WHAT IS THE CHANGE IN LENGTH (IN INCHES) OF MEMBER AC AFTER ALDING THE LOAD (AND DOES IT STRETCH OUT CR COMPRESS?) - (ELONGATES, SHORTENS CIRCLE 1)


Problem #3

A 10,000 LB LOAD IS SUPPORTED BY A ONE INCH-DIAMETER STEEL ROD (E = 29,000 KSI) AS SHOWN ABOVE.

A. WHAT IS THE STRESS IN THE ROD?

B. WHAT IS THE STRAIN IN THE ROD?

C. HOW MUCH DOES THE ROD ELONGATE?


Problem #4

A- Find this Maximum Shear stress () in the Wood Beam above.

B- Circle which of the following is true(circle1)

C- If the maximum allowable shear stress is only 120 psd, does the saction have adequate strength?

Tutor Answer

brianreyes958
School: Cornell University

Hello, kindly find the attached answer, both a PDF version amd word document version. Leave a good review. Thank you

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Date:

Problem#1
A W12x87 Steel Column, 14'tall is subjected to a load of 215 kips The cross sectional area of the
column is A = 25.6 in^2
A- What is the compressive stress in the column?
π’„π’π’Žπ’‘π’“π’†π’”π’”π’Šπ’π’ 𝒔𝒕𝒓𝒆𝒔𝒔 =

𝒇𝒐𝒓𝒄𝒆 πŸπŸπŸ“π’Œπ’Šπ’‘π’”
π’Œπ’Šπ’‘π’”
=
= πŸ–. πŸ‘πŸ—πŸ–
𝟐
𝒂𝒓𝒆𝒂
πŸπŸ“. πŸ” π’Šπ’
π’Šπ’πŸ

B- What is the bearing stress between the steel base plate and the concrete footing?
π‘€π’†π’Šπ’ˆπ’‰π’• 𝒐𝒇 𝒕𝒉𝒆 π’„π’π’π’–π’Žπ’ = 𝟏𝟐 βˆ— πŸ–πŸ• = πŸπŸŽπŸ’πŸ’ 𝒍𝒃 = 𝟏. πŸŽπŸ’πŸ’ π’Œπ’Šπ’‘π’”
𝒕𝒐𝒕𝒂𝒍 π’˜π’†π’Šπ’ˆπ’‰π’• 𝒐𝒏 𝒕𝒉𝒆 𝒃𝒂𝒔𝒆 𝒑𝒍𝒂𝒕𝒆 = πŸπŸπŸ“ + 𝟏, πŸŽπŸ’πŸ’ = πŸπŸπŸ”. πŸŽπŸ’πŸ’ π’Œπ’Šπ’‘π’”
π’ƒπ’†π’‚π’“π’Šπ’π’ˆ 𝒔𝒕𝒓𝒆𝒔𝒔 =

𝒇𝒐𝒓𝒄𝒆 πŸπŸπŸ”. πŸŽπŸ’πŸ’
π’Œπ’Šπ’‘π’”
=
= 𝟎. πŸ“πŸ’πŸŽ 𝟐
𝒂𝒓𝒆𝒂
𝟐𝟎 βˆ— 𝟐𝟎
π’Šπ’

C- What is the bearing stress between the concrete footing and the soil?
π’Žπ’‚π’”π’” 𝒐𝒇 𝒄𝒐𝒏𝒄𝒓𝒆𝒕𝒆 π’‡π’π’π’π’•π’Šπ’π’ˆ = π’—π’π’π’–π’Žπ’† βˆ— π’…π’†π’π’”π’Šπ’•π’š
= (πŸ” βˆ— πŸ”)π’‡π’•πŸ βˆ— πŸπŸ–π’Šπ’ βˆ—

πŸπ’‡π’•
βˆ— πŸπŸ“πŸŽ 𝒑𝒄𝒇 = πŸ–πŸπŸŽπŸŽπ’π’ƒ = πŸ–. πŸπŸŽπŸŽπ’Œπ’Šπ’‘π’”
πŸπŸπ’Šπ’

𝒕𝒐𝒕𝒂𝒍 π’˜π’†π’Šπ’ˆπ’‰π’• 𝒐𝒏 𝒕𝒉𝒆 𝒃𝒂𝒔𝒆 𝒑𝒍𝒂𝒕𝒆 = πŸπŸπŸ“ + 𝟏, πŸŽπŸ’πŸ’ + πŸ–. 𝟏𝟎𝟎 = πŸπŸπŸ’. πŸπŸ’πŸ’ π’Œπ’Šπ’‘π’”

π’ƒπ’†π’‚π’“π’Šπ’π’ˆ 𝒔𝒕𝒓𝒆𝒔𝒔 𝒂𝒕 𝒄𝒐𝒏𝒄𝒓𝒆𝒂𝒕 π’‡π’π’π’•π’Šπ’π’ =

𝒇𝒐𝒓𝒄𝒆 πŸπŸπŸ’. πŸπŸ’πŸ’ π’Œπ’Šπ’‘π’”
π’Œπ’Šπ’‘π’”
=
= πŸ”. πŸπŸπŸ” 𝟐
𝟐
(πŸ” βˆ— πŸ”)𝒇𝒕
𝒂𝒓𝒆𝒂
𝒇𝒕

Problem #2
A- FIND THE FORCE IN MEMBER AC AND THE FORCE IN MEMBER BC (hint, the system above
is statically determinant)
π’‚π’π’ˆπ’π’† 𝑩𝑨π‘ͺ = π’‚π’π’ˆπ’π’† π‘ͺπ...

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