ASSIGNMENTS/PLATES REQUIREMENTS:
1. SHEETS OF LONG BOND PAPER
2. PERMANENT PENS (PENCILS ARE FOR DRAFTS ONLY)
-BLACK for instruction and solution
-RED for header final answers only
-Any pen color for figures (one color for load, one color
for structure, one color for others)
3. RULER
4. SCIENTIFIC CALCULATOR
REQUIREMENTS
1”
1”
SURNAME, FIRST NAME, MI
SECTION
DATE
CE0039
PRINCIPLE OF STEEL DESIGN
PLATE NUMBER 1:
_________
Instruction: Solve the following problems completely. Round
off your answers to 3 decimal places. Draw the FBD of each
problem and indicate the directions of forces in your answers.
Problem No. 2 The beam shown below is supported by a roller,
internal hinge at B and fixed at C. Determine the following:
a) Support reactions at A and B.
b) Internal force at B.
Use Black Pen for
the Margin Lines
σ 𝐹𝑥 = 0 :
−𝑇𝐴𝐵
Problem No. 1 A steel truss is loaded as shown is supported by
a hinge at A and C. Assume that joint B is internal pin. The
concentrated loads are perpendicular at the top chord.
Determine the reaction at A and C.
− 𝑇𝐵𝐶
𝑥𝐵 − 3
(𝑥𝐵 −3)2 + 64
+ 40 = 0
σ 𝐹𝑦 = 0 :
5
𝑇𝐴𝐵
0.75”
1.75”
𝑥𝐵
𝑥𝐵2 + 25
1.75”
𝑥𝐵2 + 25
σ 𝐹𝑥 = 0 :
𝑥𝐵
−𝑇𝐴𝐵
𝑥𝐵2 + 25
− 𝑇𝐵𝐶
− 𝑇𝐵𝐶
8
(𝑥𝐵 −3)2 + 64
𝑥𝐵 − 3
(𝑥𝐵 −3)2 + 64
=0
+ 40 = 0
σ 𝐹𝑦 = 0 :
5
𝑇𝐴𝐵
𝑥𝐵2 + 25
σ 𝐹𝑥 = 0 :
𝑥𝐵
−𝑇𝐴𝐵
𝑥𝐵2 + 25
𝑥𝐵
𝑥𝐵 − 3
− 𝑇𝐵𝐶
𝑥𝐵2 + 25
(𝑥𝐵 −3)2 + 64
+ 40 = 0
σ 𝐹𝑦 = 0 :
𝑇𝐴𝐵
5
𝑥𝐵2
− 𝑇𝐵𝐶
8
(𝑥𝐵 −3)2 + 64
𝑥𝐵 − 3
(𝑥𝐵 −3)2 + 64
=0
+ 40 = 0
σ 𝐹𝑦 = 0 :
σ 𝐹𝑥 = 0 :
−𝑇𝐴𝐵
Solution:
− 𝑇𝐵𝐶
+ 25
− 𝑇𝐵𝐶
𝟏𝟑𝒙𝑩 − 𝟏𝟓
(𝒙𝑩 −𝟑)𝟐 + 𝟔𝟒
8
(𝑥𝐵
−3)2
𝑻𝑩𝑪 = 𝟐𝟎𝟎
1”
+ 64
=0
𝑇𝐴𝐵
5
𝑥𝐵2 + 25
σ 𝐹𝑥 = 0 :
𝑥𝐵
−𝑇𝐴𝐵
𝑥𝐵2 + 25
− 𝑇𝐵𝐶
𝟏𝟑𝒙𝑩 − 𝟏𝟓
(𝒙𝑩 −𝟑)𝟐 + 𝟔𝟒
− 𝑇𝐵𝐶
8
(𝑥𝐵 −3)2 + 64
𝑥𝐵 − 3
(𝑥𝐵 −3)2 + 64
𝑻𝑩𝑪 = 𝟐𝟎𝟎
1”
=0
+ 40 = 0
0.75”