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### Question Description

**please show work**

**please make it clear to read and organized **

__Problem #1__

DRAW THE FREE BODY DIAGRAM,

THE SHEAR DIAGRAM, AND THE MOMENT DIAGRAM FOR THE FOLLOWING BEAMS. IDENTIFY THE MAXIMUM SHEAR AND THE MAXIMUM MOMENT FOR EACH CASE

__Problem #2__

CALCULATE THE MAXIMUM BEAM DEFLECTIONS FOR THE FOLLOWING SITUATIONS, IDENTIFY WHERE ON THE BEAM THE MAXIMUM DEFLECTION OCCURS. (for problem C just identify the deflection at the middle of the span)

### Unformatted Attachment Preview

## Tutor Answer

Hello please find the attached PDF and Ms WORD version of the answer.

Problem #1

DRAW THE FREE BODY DIAGRAM,

THE SHEAR DIAGRAM, AND THE MOMENT DIAGRAM FOR THE FOLLOWING

BEAMS. IDENTIFY THE MAXIMUM SHEAR AND THE MAXIMUM MOMENT FOR

EACH CASE

Free body diagram

Summation of all the forces acting horizontally

โ ๐น๐ฅ = 0

๐กโ๐ข๐

๐ด๐ฅ = 0

Summation of all the forces acting vertically

โ ๐น๐ฆ = 0

๐กโ๐ข๐

๐ด๐ฆ + ๐ต๐ฆ โ 5 โ 5 = 0

๐ด๐ฆ + ๐ต๐ฆ = 10

(1)

Taking moments about A

โ ๐๐ด = 5 โ 5 + 5 โ 10 โ ๐ต๐ฆ โ 15 = 0

๐ต๐ฆ =

25 + 50

= 5๐๐๐๐

15

๐ด๐ฆ + 5 = 10 ๐กโ๐ข๐ ๐ด๐ฆ = 5๐๐๐๐

Shear force

๐๐น๐ด = 5๐๐๐๐ ๐๐๐ ๐๐น๐ถ = 5 โ 5 = 0๐๐๐๐

๐๐น๐ท = 5 โ 5 โ 5 = โ5๐๐๐๐

๐๐น๐ต = 5 โ 5 โ 5 + 5 = 0๐๐๐๐

Shear force diagram

5โ

5โ

5โ

5 kips

๐ด๐ฆ

C

๐ต๐ฆ

๐ท

-5 kips

๐๐๐ฅ๐๐๐ข๐ ๐ โ๐๐๐ ๐ ๐ก๐๐๐ ๐ = 5๐๐๐๐

Bending moments at point A

๐ต๐๐ด = ๐ด๐ฆ โ 0 = 0 ๐๐๐๐ . ๐๐ก

๐ต๐๐ถ = ๐น๐ถ โ 5 = 25 ๐๐๐๐ . ๐๐ก

๐ต๐๐ท = ๐น๐ท โ 10 โ ๐น๐ถ โ 5 = 50 โ 25 = 25 ๐๐๐๐ . ๐๐ก

๐ต๐๐ต = ๐ต๐ฆ โ 15โ๐น๐ท โ 10 โ ๐น๐ถ โ 5 = 50 โ 25 = 0 ๐๐๐๐ . ๐๐ก

๐๐๐ฅ๐๐๐ข๐ ๐๐๐๐๐๐๐ ๐๐๐๐๐๐ก = 25 ๐๐๐๐ . ๐๐ก

Bending moment diagram

5โ

5โ

5โ

25 kips.ft

๐๐ฅ

C

๐ท

B)

Summation of all the forces acting horizontally

โ ๐น๐ฅ = 0

๐กโ๐ข๐

๐ด๐ฅ = 0

Summation of all the forces acting vertically

โ ๐น๐ฆ = 0

๐กโ๐ข๐ ๐ด๐ฆ โ 10 โ 5 โ 5 = 0 ๐กโ๐ข๐ ๐ด๐ฆ = 15๐๐๐๐

Taking moments about A

โ ๐๐ด = โ10 โ 5 โ 5 โ 20 = 200๐๐๐๐ . ๐๐ก

Shear force

๐๐น๐ด = ๐ด๐ฆ = 15๐๐๐๐ ๐๐...

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