The beam shown in Figure 1 has lateral support at a, b, c, and d. Compute Ch for segment b-c. (a) Use the unfactored service loads. (b) Use factored loads. k 12 ft Y b 20 ft PD = 1.9 k PL = 5.5 k Figure 1 C 12 ft WD = 0.6 k/ft WL = 1 k/ft →

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**Beam Lateral Support and Load Calculation for Segment b-c**

The beam shown in Figure 1 has lateral support at points \(a\), \(b\), \(c\), and \(d\). The task is to compute \(C_b\) for the segment \(b\)-\(c\).

**Tasks:**
(a) Use the unfactored service loads.
(b) Use factored loads.

**Loading Information:**
- Point load at the center:
  - \(P_D = 1.9 \, \text{k}\) (Dead Load)
  - \(P_L = 5.5 \, \text{k}\) (Live Load)
- Distributed loads:
  - Dead Load: \(w_D = 0.6 \, \text{k/ft}\)
  - Live Load: \(w_L = 1 \, \text{k/ft}\)

**Beam Dimensions:**
- Total length: 44 feet, divided as follows:
  - \(a\) to \(b\): 12 feet
  - \(b\) to \(c\): 20 feet
  - \(c\) to \(d\): 12 feet

**Graphical Representation (Figure 1) Description:**

- The beam is supported laterally at four points: \(a\), \(b\), \(c\), and \(d\).
- It shows a simply supported beam at the ends \(a\) and \(d\) with pin and roller supports respectively.
- The total length of the beam is split into three segments with distances explicitly marked as 12 ft for both \(a\) to \(b\) and \(c\) to \(d\), and 20 ft for \(b\) to \(c\).
- There is a point load acting at the midpoint of segment \(b\) to \(c\) indicating a central load split into dead load (\(P_D\)) and live load (\(P_L\)).
- Uniformly distributed loads are applied along the entire beam, distributed as dead load (\(w_D\)) and live load (\(w_L\)).

**Figure 1**

\[
\begin{array}{cccccccccccc}
& a &  & b &  & c &  & d &  \\
& | &  ------------ & | & ---------------------------- & | & ------------- & | &  \\
&
Transcribed Image Text:**Beam Lateral Support and Load Calculation for Segment b-c** The beam shown in Figure 1 has lateral support at points \(a\), \(b\), \(c\), and \(d\). The task is to compute \(C_b\) for the segment \(b\)-\(c\). **Tasks:** (a) Use the unfactored service loads. (b) Use factored loads. **Loading Information:** - Point load at the center: - \(P_D = 1.9 \, \text{k}\) (Dead Load) - \(P_L = 5.5 \, \text{k}\) (Live Load) - Distributed loads: - Dead Load: \(w_D = 0.6 \, \text{k/ft}\) - Live Load: \(w_L = 1 \, \text{k/ft}\) **Beam Dimensions:** - Total length: 44 feet, divided as follows: - \(a\) to \(b\): 12 feet - \(b\) to \(c\): 20 feet - \(c\) to \(d\): 12 feet **Graphical Representation (Figure 1) Description:** - The beam is supported laterally at four points: \(a\), \(b\), \(c\), and \(d\). - It shows a simply supported beam at the ends \(a\) and \(d\) with pin and roller supports respectively. - The total length of the beam is split into three segments with distances explicitly marked as 12 ft for both \(a\) to \(b\) and \(c\) to \(d\), and 20 ft for \(b\) to \(c\). - There is a point load acting at the midpoint of segment \(b\) to \(c\) indicating a central load split into dead load (\(P_D\)) and live load (\(P_L\)). - Uniformly distributed loads are applied along the entire beam, distributed as dead load (\(w_D\)) and live load (\(w_L\)). **Figure 1** \[ \begin{array}{cccccccccccc} & a & & b & & c & & d & \\ & | & ------------ & | & ---------------------------- & | & ------------- & | & \\ &
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